A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha`. A pin is located at a distance l

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha`. A pin is located at a distance l
by

1 Answer

Answer :

A simple pendulum consisting of a mass M attached to a string of length L is released from rest at an angle `alpha` ... ^(-1) [(L cos alpha-l)/(L+l)]`
by

Related questions

The time period of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string. This statement is known as ___________ . (A) law of gravity (B) law of mass (C) law of isochronism (D) law of length

Description : The time period of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string. This statement is known as ___________ . (A) law of gravity (B) law of mass (C) law of isochronism (D) law of length

Last Answer : (B) law of mass

What is a conical pendulum? Show that its time period is given by 2π √(l cos θ)/g, where l is the length of the string,

Description : What is a conical pendulum? Show that its time period is given by 2π √(l cos θ)/g, where l is the length of the string,

Last Answer : What is a conical pendulum? Show that its time period is given by 2π\(\sqrt{\frac{l\,cos\, ... the vertical and g is the acceleration due to gravity.

A mass of 5 kg moves on a smooth horizontal plane with a speed of 8 m/s attached to a fixed point on the plane by a string of length 4m. Tension in the string is a.785 b.80N c.392.4N d.None of the above e.Tapered bearing

Description : A mass of 5 kg moves on a smooth horizontal plane with a speed of 8 m/s attached to a fixed point on the plane by a string of length 4m. Tension in the string is a.785 b.80N c.392.4N d.None of the above e.Tapered bearing

Last Answer : b. 80N

The time `t` of a complete oscillation of a simple pendulum of length `l` is given by the equation `T=2pisqrt(1/g)` where `g` is constant. What is the

Description : The time `t` of a complete oscillation of a simple pendulum of length `l` is given by the equation `T=2pisqrt(1/g)` where `g` is constant. What is the

Last Answer : The time `t` of a complete oscillation of a simple pendulum of length `l` is given by the equation `T= ... error in `T` when `l` is increased by 1%?

The acceleration due to gravity is determined by using a simple pendulum of length l = (100 ± 0.1) cm. If its time period is T = (2 ± 0.01)

Description : The acceleration due to gravity is determined by using a simple pendulum of length l = (100 ± 0.1) cm. If its time period is T = (2 ± 0.01)

Last Answer : The acceleration due to gravity is determined by using a simple pendulum of length l = (100 ... the maximum percentage error in the measurement of g.

Time period of a simple pendulum depends upon the length of pendulum (l) and acceleration due to gravity (g). Using dimensional analysis

Description : Time period of a simple pendulum depends upon the length of pendulum (l) and acceleration due to gravity (g). Using dimensional analysis

Last Answer : Time period of a simple pendulum depends upon the length of pendulum (l) and acceleration due to ... expression for time period of a simple pendulum.

The work done by the string of a simple pendulum during one complete oscillation is equal to (1) Total energy of the pendulum (2) Kinetic energy of the pendulum (3) Potential energy of the pendulum (4) Zero

Description : The work done by the string of a simple pendulum during one complete oscillation is equal to (1) Total energy of the pendulum (2) Kinetic energy of the pendulum (3) Potential energy of the pendulum (4) Zero

Last Answer : (4) Zero Explanation: Work done by the string of the simple pendulum during one complete oscillation is zero. Tension in the string exactly cancels the component parallel to the string. This leaves a net restoring force back toward the equilibrium position as equal to zero.

The work done by the string of a simple pendulum during one complete oscillation is equal to (1) Total energy of the pendulum (2) Kinetic energy of the pendulum (3) Potential energy of the pendulum (4) Zero

Description : The work done by the string of a simple pendulum during one complete oscillation is equal to (1) Total energy of the pendulum (2) Kinetic energy of the pendulum (3) Potential energy of the pendulum (4) Zero

Last Answer : Zero

A particle is moving in Simple Harmonic Motion in a simple pendulum with some period of oscillation. Now in order to double the period of oscillation a.The length of pendulum should be quadrupled b.The length of pendulum should be doubled c.The mass of the bob should be halved d.The length of pendulum should be reduced to one fourth e.The mass of the bob should be doubled

Description : A particle is moving in Simple Harmonic Motion in a simple pendulum with some period of oscillation. Now in order to double the period of oscillation a.The length of pendulum should be quadrupled b.The ... length of pendulum should be reduced to one fourth e.The mass of the bob should be doubled

Last Answer : a. The length of pendulum should be quadrupled

A pendulum which is suspended from the ceiling of a railroad car is observed to hang at an angle of 10 degrees to the left of vertical. Which of the following answers could explain this phenomena? w) The railroad car is at rest. x) The railroad car is accelerating to the left. y) The railroad car is moving with constant velocity to the right. z) The railroad car is accelerating to the right.

Description : A pendulum which is suspended from the ceiling of a railroad car is observed to hang at an angle of 10 degrees to the left of vertical. Which of the following answers could explain this phenomena? w ... is moving with constant velocity to the right. z) The railroad car is accelerating to the right.

Last Answer : ANSWER: Z -- THE RAILROAD CAR IS ACCELERATING TO THE RIGHT. 

A pendulum which is suspended from the ceiling of a railroad car is observed to hang at an angle of 10 degrees to the right of vertical. Which of the following answers could explain this phenomena? w) The railroad car is at rest. x) The railroad car is accelerating to the left. y) The railroad car is moving with constant velocity to the right. z) The railroad car is accelerating to the right.

Description : A pendulum which is suspended from the ceiling of a railroad car is observed to hang at an angle of 10 degrees to the right of vertical. Which of the following answers could explain this phenomena? ... is moving with constant velocity to the right. z) The railroad car is accelerating to the right.

Last Answer : ANSWER: X -- THE RAILROAD CAR IS ACCELERATING TO THE LEFT. 

A body of weight W is resting at a plane inclined at 30? to the horizontal. It is attached to a string making an angle of 60? with horizontal. If the angle of friction be 30? the tension in the string would be a.Zero b.W c.W/2 d.2W e.None of the above

Description : A body of weight W is resting at a plane inclined at 30? to the horizontal. It is attached to a string making an angle of 60? with horizontal. If the angle of friction be 30? the tension in the string would be a.Zero b.W c.W/2 d.2W e.None of the above

Last Answer : c. W/2

A railway wagon moving with a speed of 1.5m/s is brought to rest by bumper consisting of two springs. Mass of wagon is 100kg. The springs are compressed by 125mm. Calculate the maximum force acting on each spring. a) 1200N b) 1500N c) 1800N d) 2000N

Description : A railway wagon moving with a speed of 1.5m/s is brought to rest by bumper consisting of two springs. Mass of wagon is 100kg. The springs are compressed by 125mm. Calculate the maximum force acting on each spring. a) 1200N b) 1500N c) 1800N d) 2000N

Last Answer : c) 1800N

PHP Gurus: What is the easiest way to generate a specified length string of random alpha characters?

Description : PHP Gurus: What is the easiest way to generate a specified length string of random alpha characters?

Last Answer : answer:Well, this code will spit stuff out per your “For example” Not sure what alpha characters are though… Check it here.

If the length of a simple pendulum is halved then its period of oscillation is - (1) doubled (2) halved (3) increased by a factor √ 2 (4) decreased by a factor √ 2

Description : If the length of a simple pendulum is halved then its period of oscillation is - (1) doubled (2) halved (3) increased by a factor √ 2 (4) decreased by a factor √ 2

Last Answer : (4) decreased by a factor √ 2

The formula to find the effective length of a simple pendulum is

Description : The formula to find the effective length of a simple pendulum is

Last Answer : T2 l g

Natural frequency of simple pendulum is proportional to A. Length B. Acceleration due to gravity C. Both D. None

Description : Natural frequency of simple pendulum is proportional to A. Length B. Acceleration due to gravity C. Both D. None

Last Answer : B. Acceleration due to gravity

If the length of a simple pendulum is halved then its period of oscillation is (1) doubled (2) halved (3) increased by a factor 2 (4) decreased by a factor 2

Description : If the length of a simple pendulum is halved then its period of oscillation is (1) doubled (2) halved (3) increased by a factor root 2 (4) decreased by a factor root  2

Last Answer : decreased by a factor root 2

For small oscillations, what happens to the period of a simple pendulum when the mass of the pendulum bob is doubled?

Description : For small oscillations, what happens to the period of a simple pendulum when the mass of the pendulum bob is doubled? 

Last Answer : ANSWER: NOTHING or PERIOD IS UNAFFECTED

In a spring mass system of mass m and stiffness k, the end of the spring are securely fixed and mass is attached to intermediate point of spring. The natural frequency of longitudinal vibration of the system A) Is maximum when mass is attached to mid point of the spring B) Is minimum when mass is attached to mid point of the spring C) Decreases as the distance from the top end where mass is attached decreases D) Decreases as the distance from the bottom end where mass is attached decreases

Description : In a spring mass system of mass m and stiffness k, the end of the spring are securely fixed and mass is attached to intermediate point of spring. The natural frequency of longitudinal ... is attached decreases D) Decreases as the distance from the bottom end where mass is attached decreases

Last Answer : B) Is minimum when mass is attached to mid point of the spring

A stone whirling in a horizontal circle on the end of string depicts A. conical pendulum B. cone C. pendulum D. eclipse

Description : A stone whirling in a horizontal circle on the end of string depicts A. conical pendulum B. cone C. pendulum D. eclipse

Last Answer : conical pendulum

A spring with a force constant of 20 newtons per meter is known to obey Hooke's Law. The spring is attached to a mass of 5 kilograms and placed on a horizontal, frictionless surface. The mass is displaced 3 meters from its equilibrium position and released. What is the kinetic energy of the mass as it passes through its equilibrium position?

Description : A spring with a force constant of 20 newtons per meter is known to obey Hooke's Law. The spring is attached to a mass of 5 kilograms and placed on a horizontal, frictionless surface. The ... and released. What is the kinetic energy of the mass as it passes through its equilibrium position? 

Last Answer : ANSWER: 90 JOULES

In a torsion pendulum a.The body attached to the lower end of wire or rod must be elastic b.The clamp must be elastic c.The clamp must be elastic d.(A) and (B) above e.(A), (B) and (C) together

Description : In a torsion pendulum a.The body attached to the lower end of wire or rod must be elastic b.The clamp must be elastic c.The clamp must be elastic d.(A) and (B) above e.(A), (B) and (C) together

Last Answer : c. The clamp must be elastic

If N is deviation angle the length L of a parabolic vertical curve for overtaking sight distance S, is (A) NS²/9.6 if L > S (B) NS²/9.6 if L < S (C) 2S - 9.6/N if L < S (D) Both (A) and (C)

Description : If N is deviation angle the length L of a parabolic vertical curve for overtaking sight distance S, is (A) NS²/9.6 if L > S (B) NS²/9.6 if L < S (C) 2S - 9.6/N if L < S (D) Both (A) and (C)

Last Answer : Answer: Option D

If N is deviation angle, the length L, of a parabolic vertical curve for safe stopping distance S, is(A) NS²/4.4 if L > S(B) 2S - 4.4/N if L < S(C) 2S - 4.4/N if L > S(D) Both (a) and (b)

Description : If N is deviation angle, the length L, of a parabolic vertical curve for safe stopping distance S, is (A) NS²/4.4 if L > S (B) 2S - 4.4/N if L < S (C) 2S - 4.4/N if L > S (D) Both (a) and (b)

Last Answer : Answer: Option D

The spring is compressed by a distance a and released. The block again comes to rest when the spring is elongated by a distance `b`. During this

Description : The spring is compressed by a distance a and released. The block again comes to rest when the spring is elongated by a distance `b`. During this

Last Answer : The spring is compressed by a distance a and released. The block again comes to rest when the spring is ... coefficient of friction `=(k(a+b))/(2mg)`

A string of length L is fixed between two points. If a standing wave of 5 nodes is produced, what is the relationship between the string's length, L, and its wavelength?

Description : A string of length L is fixed between two points. If a standing wave of 5 nodes is produced, what is the relationship between the string's length, L, and its wavelength?

Last Answer : ANSWER: WAVELENGTH = 1/2 L

In a village fair, Gopal set up a stall of game consisting of spinning an arrow which comes to rest pointing at one of the regions 1, 2 or 3. Find the probability of outcome 1.a. 1/3 b. 1/2 c. 1/4 d. 1/6

Description : In a village fair, Gopal set up a stall of game consisting of spinning an arrow which comes to rest pointing at one of the regions 1, 2 or 3. Find the probability of outcome 1.a. 1/3 b. 1/2 c. 1/4 d. 1/6

Last Answer : b. 1/2

Pick out the wrong statement. (A) In the McCabe-Thiele diagram for binary distillation, vertical feed line represents saturated liquid feed and horizontal feed line represents saturated vapour feed (B) In small columns, local efficiency is larger than Murphree efficiency; in large columns local efficiency is smaller than Murphree efficiency (C) For Laminar flow over a plate of length L, the local mass transfer co￾efficient at a distance L from the leading edge is 1.5 × 10 -2m/s. Then the average mass transfer co-efficient for the plate is 2 × 10 -2m/s (D) The concentration and hydrodynamic boundary layers over a flat plate are of equal thickness, if Schmidt number is equal to unity

Description : Pick out the wrong statement. (A) In the McCabe-Thiele diagram for binary distillation, vertical feed line represents saturated liquid feed and horizontal feed line represents saturated vapour feed (B) In ... layers over a flat plate are of equal thickness, if Schmidt number is equal to unity

Last Answer : (C) For Laminar flow over a plate of length L, the local mass transfer co￾efficient at a distance L from the leading edge is 1.5 × 10 -2m/s. Then the average mass transfer co-efficient for the plate is 2 × 10 -2m/s

System shown in figure is released from rest . Pulley and spring is mass less and friction is absent everywhere. The speed of `5 kg` block when `2 kg`

Description : System shown in figure is released from rest . Pulley and spring is mass less and friction is absent everywhere. The speed of `5 kg` block when `2 kg`

Last Answer : System shown in figure is released from rest . Pulley and spring is mass less and friction is absent everywhere. The ... . 2 m/s D. `4sqrt(2) ` m/s

Two hockey pucks, of unequal mass and connected by a spring of negligible mass, rest on a horizontal frictionless surface. The spring is released, and the pucks move apart. The center of mass of the two pucks does one of the following. Does it: w) move in a circle x) move in the direction of the greater mass y) remain stationary z) move in the direction of the smaller mass

Description : Two hockey pucks, of unequal mass and connected by a spring of negligible mass, rest on a horizontal frictionless surface. The spring is released, and the pucks move apart. The center of mass of ... the direction of the greater mass y) remain stationary z) move in the direction of the smaller mass

Last Answer : ANSWER: Y -- REMAIN STATIONARY

In a 3-insulator string voltage distribution system the ratio of capacitance between pin and earth to the self...

Description : In a 3-insulator string voltage distribution system the ratio of capacitance between pin and earth to the self capacitance of each unit is 1/4. If the potential across the top unit is 8 kV, then the string voltage is (A) 22.5 kV (B) 24 kV (C) 26 kV (D) 32.5 kV

Last Answer : In a 3-insulator string voltage distribution system the ratio of capacitance between pin and earth to the self capacitance of each unit is 1/4. If the potential across the top unit is 8 kV, then the string voltage is 32.5 kV

How cap and pin attached to insulator?

Description : How cap and pin attached to insulator? 

Last Answer : By cementing.  

In the sequence of the following nuclear reaction, `X_(98)^(238) overset(-alpha)(to) Y overset(-beta)(to)L overset(nalpha)(to) ._(90)M^(218)` What is

Description : In the sequence of the following nuclear reaction, `X_(98)^(238) overset(-alpha)(to) Y overset(-beta)(to)L overset(nalpha)(to) ._(90)M^(218)` What is

Last Answer : In the sequence of the following nuclear reaction, `X_(98)^(238) overset(-alpha)(to) Y overset(-beta)(to)L overset( ... of n? A. 3 B. 4 C. 5 D. 6

A straight rod of mass m and lenth `L` is suspended from the identical spring as shown in the figure The spring stretched by a distance of `x_(0)` due

Description : A straight rod of mass m and lenth `L` is suspended from the identical spring as shown in the figure The spring stretched by a distance of `x_(0)` due

Last Answer : A straight rod of mass m and lenth `L` is suspended from the identical spring as shown in the figure The spring ... `(mgR)/(2LE)` D. `(mgR)/(E)`

Is a ”well intended” gift really well intended if there is a string attached?

Description : Is a ”well intended” gift really well intended if there is a string attached?

Last Answer : In certain cases I think a gift with strings attached is disingenuous but in this particular case I would happily have paid the chap $2 for the bag. But it would have been better if he'd said I'll sell ... . If he'd done it that way round he wouldn't have left you feeling like you'd been cheated.

The string in fig. is passing over small smooth pulley rigidly attached to trolley A. If the speed of trolley is constant and qual to `v_(A)` towards

Description : The string in fig. is passing over small smooth pulley rigidly attached to trolley A. If the speed of trolley is constant and qual to `v_(A)` towards

Last Answer : The string in fig. is passing over small smooth pulley rigidly attached to trolley A. If the speed of trolley is constant ... =0` D. `V_(B)=4/5 V_(A)`

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve (A) Catenary (B) Parabola (C) Hyperbola (D) Elliptical

Description : A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve (A) Catenary (B) Parabola (C) Hyperbola (D) Elliptical

Last Answer : (B) Parabola

If the amino group and a carboxylic group of the amino acid are attached to same carbon atom, the amino acid is called as (A) Alpha (B) Beta (C) Gamma (D) Epsilon

Description : If the amino group and a carboxylic group of the amino acid are attached to same carbon atom, the amino acid is called as (A) Alpha (B) Beta (C) Gamma (D) Epsilon

Last Answer : Answer : A

If the amino group and a carboxylic group of the amino acid are attached to same carbon atom, the amino acid is called (A) Alpha (B) Beta (C) Gamma (D) Delta

Description : If the amino group and a carboxylic group of the amino acid are attached to same carbon atom, the amino acid is called (A) Alpha (B) Beta (C) Gamma (D) Delta

Last Answer : Answer : A

An electron starting at angle `alpha=60^(@)` with a uniform magnetic induction `B=0.1 T` moves with velocity `v=10^(6) m s^(-1)`. A screen is held at

Description : An electron starting at angle `alpha=60^(@)` with a uniform magnetic induction `B=0.1 T` moves with velocity `v=10^(6) m s^(-1)`. A screen is held at

Last Answer : An electron starting at angle `alpha=60^(@)` with a uniform magnetic induction `B=0.1 T` ... to the point on the screen where the electron strikes.

When a number of hair pin bends are introduced, a minimum intervening distance in between is kept (A) 20 m (B) 40 m (C) 60 m (D) 100 m

Description : When a number of hair pin bends are introduced, a minimum intervening distance in between is kept (A) 20 m (B) 40 m (C) 60 m (D) 100 m

Last Answer : Answer: Option C

You have to sort a list L, consisting of a sorted list followed by a few ‘random’ elements. Which of the following sorting method would be most suitable for such a task ? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort

Description : You have to sort a list L, consisting of a sorted list followed by a few ‘random’ elements. Which of the following sorting method would be most suitable for such a task ? (A) Bubble sort (B) Selection sort (C) Quick sort (D) Insertion sort

Last Answer : (D) Insertion sort

Calculate the energy released in kilowatt-hours when 100g of `._(3)^(7)Li` are converted into `._(2)^(4)He` by proton bombardment. Mass of `._(3)^(7)L

Description : Calculate the energy released in kilowatt-hours when 100g of `._(3)^(7)Li` are converted into `._(2)^(4)He` by proton bombardment. Mass of `._(3)^(7)L

Last Answer : Calculate the energy released in kilowatt-hours when 100g of `._(3)^(7)Li` are converted into `. ... = 1.0081 amu. Write down the nuclear reaction.

A uniform rope of mass M=0.1kg and length L=10m hangs from the celling. `[g=10m//s^(2)]` :-

Description : A uniform rope of mass M=0.1kg and length L=10m hangs from the celling. `[g=10m//s^(2)]` :-

Last Answer : A uniform rope of mass M=0.1kg and length L=10m hangs from the celling. `[g=10m//s^(2) ... in the rope remain constant along the length of the rope

In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. U

Description : In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. U

Last Answer : In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two ... mean position of rod D. None of the above

In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. U

Description : In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing springs of spring constant k each. U

Last Answer : In the figure shown a uniform conducing rod of mass m and length l is suspended invertical plane by two conducing ... ^(2)C)/(K))` D. None of these

. In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A Fn =N √(R/L) B Fn =1/N √(R/L) C Fn =N/2 √(R/L) D Fn =N2 √(R/L)

Description : . In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A Fn =N √(R/L) B Fn =1/N √(R/L) C Fn =N/2 √(R/L) D Fn =N2 √(R/L)

Last Answer : A Fn =N √(R/L)

In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A) Fn =N √(R/L) B) Fn =1/N √(R/L) C) Fn =N/2 √(R/L) D) Fn =N2 √(R/L)

Description : In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A) Fn =N √(R/L) B) Fn =1/N √(R/L) C) Fn =N/2 √(R/L) D) Fn =N2 √(R/L)

Last Answer : A) Fn =N √(R/L)

Two bodies of mass 6 kg and 9 kg are connected with a light inextensile string passing over a smooth pulley with one of the bodies on a smooth inclined plane (θ = 30°) and the other hanging freely from the other end. Show that the time taken by 9 kg to pull 6 kg up the entire length is half the time taken by 6 kg to pull 9 kg over the same plane.

Description : Two bodies of mass 6 kg and 9 kg are connected with a light inextensile string passing over a smooth pulley with one of the bodies on a smooth inclined plane (θ = 30°) and the other hanging freely from the ... kg up the entire length is half the time taken by 6 kg to pull 9 kg over the same plane.

Last Answer : Given: Mass of body A (mA) = 6 kg Mass of body B (mB) = 9 kg Angle of inclination of the plane (θ) = 30° Let's assume that the acceleration of body A (aA) and body B (aB) are in opposite ... we know that the time taken (t) is given by the formula: t = √(2d/a), where d is the distance travelled