The moment of inertia of a thin spherical shell is a.Mr2 b.1/2 Mr2 c.1/3 Mr2 d.2/3 Mr2 e.None of the above

The moment of inertia of a thin spherical shell is a.Mr2 b.1/2 Mr2 c.1/3 Mr2 d.2/3 Mr2 e.None of the above
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d. 2/3 Mr2
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The moment of inertia of a thin ring about an axis perpendicular to plane of ring is a.1/3 Mr3 b.Mr2 c.Mr d.Mr3 e.1/2 Mr3

Description : The moment of inertia of a thin ring about an axis perpendicular to plane of ring is a.1/3 Mr3 b.Mr2 c.Mr d.Mr3 e.1/2 Mr3

Last Answer : b. Mr2

The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2

Description : The moment of inertia of a solid sphere of radius r is a.Mr2 b.1/8 Mr2 c.2/3 Mr2 d.m4 e.1/2 Mr2

Last Answer : a. Mr2

A solid spherical ball rolls on a table. The momen' of inertia of the ball is given by 3/5 x mass x radius2. The ratio of translational and rotational kinetic energies for ball will be a.2 b.7?16 c.5?3 d.7?8 e.1

Description : A solid spherical ball rolls on a table. The momen' of inertia of the ball is given by 3/5 x mass x radius2. The ratio of translational and rotational kinetic energies for ball will be a.2 b.7?16 c.5?3 d.7?8 e.1

Last Answer : c. 5?3

The units of moment of inertia are a.kgm4 b.kg-m2 c.kg/m2 d.kg/m e.m4

Description : The units of moment of inertia are a.kgm4 b.kg-m2 c.kg/m2 d.kg/m e.m4

Last Answer : c. kg/m2

Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area c.Same as moment of inertia d.The moment of inertia for an area relative to a line or axis parallel to the centroidal axis e.The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Description : Polar moment of inertia is a.Applicable to masses whereas moment of inertia is applicable to area only b.The moment of inertia for an area ralative to a line or axis which is out the plane of area ... The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

Last Answer : e. The moment of inertia for an area relative to a line or axis perpendicular to the plane of the area

The ratio of moment of inertia of a circular body about x axis to that about y axis is a.? b.? c.1?4 d.1 e.

Description : The ratio of moment of inertia of a circular body about x axis to that about y axis is a.? b.? c.1?4 d.1 e.

Last Answer : e. 1

Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Description : Moment of Inertia of triangular section about an axis passing through its base is given by a.bh3/12 b.bh3/32 c.bh3/36 d.None of the above e.Tapered bearing

Last Answer : a. bh3/12

The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Description : The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is a.66.8 cm4 b.137.5 cm4 c.550 cm4 d.33.4 cm4 e.275 cm4

Last Answer : b. 137.5 cm4

ML2T-2 could be the dimension of a.107 dynes b.moment of force c.viscosity d.mass moment of inertia e.momentum

Description : ML2T-2 could be the dimension of a.107 dynes b.moment of force c.viscosity d.mass moment of inertia e.momentum

Last Answer : b. moment of force

Which of the following pair will have identical dimensions? a.Pressure and surface tension b.Work and kinetic energy c.Momentum and force d.Moment of inertia and angular momentum e.None of the above

Description : Which of the following pair will have identical dimensions? a.Pressure and surface tension b.Work and kinetic energy c.Momentum and force d.Moment of inertia and angular momentum e.None of the above

Last Answer : c. Momentum and force

The torque acting on a system is zero. Which of the following will be conserved? a.Angular velocity b.Linear momentum c.107 dynes d.Angular momentum e.Moment of inertia

Description : The torque acting on a system is zero. Which of the following will be conserved? a.Angular velocity b.Linear momentum c.107 dynes d.Angular momentum e.Moment of inertia

Last Answer : d. Angular momentum

The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is a.0.33 r2 b.0.11 r2 c.0.055 r2 d.0.05 r2 e.0.22 r2

Description : The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is a.0.33 r2 b.0.11 r2 c.0.055 r2 d.0.05 r2 e.0.22 r2

Last Answer : b. 0.11 r2

The moment of inertia of a body does not depend upon a.The angular velocity of the body b.Mass of the body c.The distribution of mass in the body d.The axis of rotation of the body e.None of the above

Description : The moment of inertia of a body does not depend upon a.The angular velocity of the body b.Mass of the body c.The distribution of mass in the body d.The axis of rotation of the body e.None of the above

Last Answer : a. The angular velocity of the body

If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arm a.the angular velocity will remain constant b.the angular momentum will increase c.the angular velocity will decrease d.his moment of inertia will decrease e.107 dynes

Description : If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arm a.the angular velocity will remain constant b.the angular momentum will increase c.the angular velocity will decrease d.his moment of inertia will decrease e.107 dynes

Last Answer : d. his moment of inertia will decrease

The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be a.137.5 cm4 b.107 dynes c.275 cm4 d.550 cm4 e.1100 cm4

Description : The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be a.137.5 cm4 b.107 dynes c.275 cm4 d.550 cm4 e.1100 cm4

Last Answer : c. 275 cm4

The units of moment of inertia of an area are a.kg - m b.m4 c.kg - m4 d.kg - m3 e.(kg - m)2

Description : The units of moment of inertia of an area are a.kg - m b.m4 c.kg - m4 d.kg - m3 e.(kg - m)2

Last Answer : b. m4

Rain drops (assumed to be spherical) of radii R1, 2R1, 3R, 4R, a.all of them will be zero b.all of them will be same c.drops of radius R will be maximum d.drops of radius R will be minimum e.107 dynes

Description : Rain drops (assumed to be spherical) of radii R1, 2R1, 3R, 4R, a.all of them will be zero b.all of them will be same c.drops of radius R will be maximum d.drops of radius R will be minimum e.107 dynes

Last Answer : d. drops of radius R will be minimum

Which of the following could be the unit of rotational inertia of a body in CGS system? a.cm4 b.gm-cm2 c.107 dynes d.kg-cm2 e.gm-cm4

Description : Which of the following could be the unit of rotational inertia of a body in CGS system? a.cm4 b.gm-cm2 c.107 dynes d.kg-cm2 e.gm-cm4

Last Answer : b. gm-cm2

A cannon of weight 10 tonnes fires a shell of 50 kg with a muzzle velocity of 900 m/sec at an angle of 30?. The time taken for the shell to emerge from the barrel is 0.004 sec. The velocity of the cannon would be a.3.9 m/sec b.7.8 m/sec c.8.95 m/sec d.1.95 m/sec e.5.85 m/sec

Description : A cannon of weight 10 tonnes fires a shell of 50 kg with a muzzle velocity of 900 m/sec at an angle of 30?. The time taken for the shell to emerge from the barrel is 0.004 sec. The velocity of the cannon would be a.3.9 m/sec b.7.8 m/sec c.8.95 m/sec d.1.95 m/sec e.5.85 m/sec

Last Answer : a. 3.9 m/sec

A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately? a.60? b.45? c.30? d.15? e.Either of (A) and (C)

Description : A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately? a.60? b.45? c.30? d.15? e.Either of (A) and (C)

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A cannon of barrel length 2 m fires a shell of weight 6 kg with a muzzle velocity of 50 m/sec. The force exerted by the gases on the shell would be approximately a.76 t b.19 t c.152 t d.8.5 t e.38 t

Description : A cannon of barrel length 2 m fires a shell of weight 6 kg with a muzzle velocity of 50 m/sec. The force exerted by the gases on the shell would be approximately a.76 t b.19 t c.152 t d.8.5 t e.38 t

Last Answer : e. 38 t

A screw jack has 4 threads per inch. The mean radius of the thread is 2.338 inches. The mean diameter of the bearing surface under the cap is 3.25 inches. What is the turning moment required to raise the bload of 150 kg ( a.5.61 kg-inch b.50.6 kg-inch c.107 dynes d.30.3 kg-inch e.23.6 kg-inch

Description : A screw jack has 4 threads per inch. The mean radius of the thread is 2.338 inches. The mean diameter of the bearing surface under the cap is 3.25 inches. What is the turning moment required to raise the bload of 150 kg ( a.5.61 kg-inch b.50.6 kg-inch c.107 dynes d.30.3 kg-inch e.23.6 kg-inch

Last Answer : b. 50.6 kg-inch

The moment of a force a.Occurs about a point b.Measures the capacity to do useful work c.Occurs only when bodies are in motion d.Measures the ability to produce turning or twisting about an axes e.None of the above

Description : The moment of a force a.Occurs about a point b.Measures the capacity to do useful work c.Occurs only when bodies are in motion d.Measures the ability to produce turning or twisting about an axes e.None of the above

Last Answer : d. Measures the ability to produce turning or twisting about an axes

When two concurrent and coplaner forces P and Q act at an angle of 180?, their resultant will be a a.moment equal to PQ b.couple c.(P-Q) d.107 dynes e.zero

Description : When two concurrent and coplaner forces P and Q act at an angle of 180?, their resultant will be a a.moment equal to PQ b.couple c.(P-Q) d.107 dynes e.zero

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A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.Zero b.2i + 3j c.i - j - k d.i + j e.i + j + k

Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.Zero b.2i + 3j c.i - j - k d.i + j e.i + j + k

Last Answer : c. i - j - k

When all the forces acting on a body lie in one plane and their lines of action meet at one point, the forces a.constitute a moment b.constitute a couple c.are known as coplaner-concurrent forces. d.are known as non-coplaner forces e.107 dynes

Description : When all the forces acting on a body lie in one plane and their lines of action meet at one point, the forces a.constitute a moment b.constitute a couple c.are known as coplaner-concurrent forces. d.are known as non-coplaner forces e.107 dynes

Last Answer : c. are known as coplaner-concurrent forces.

If the positive and negative shear force diagram areas are not equal, it can be concluded that a.shear force diagram has been wrongly drawn b.there is at least one couple acting on the beam c.107 dynes d.there are at least two maxima for bending moment e.bending moment does not change sign

Description : If the positive and negative shear force diagram areas are not equal, it can be concluded that a.shear force diagram has been wrongly drawn b.there is at least one couple acting on the beam c.107 dynes d.there are at least two maxima for bending moment e.bending moment does not change sign

Last Answer : b. there is at least one couple acting on the beam

A beam fixed at both ends with a central load W in the middle will have zero bending moment at a.one place b.two places c.no where d.three places e.107 dynes

Description : A beam fixed at both ends with a central load W in the middle will have zero bending moment at a.one place b.two places c.no where d.three places e.107 dynes

Last Answer : b. two places

In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at a.107 dynes b.Free end c.2/3 of the length, from the free end d.Centre of the beam e.Fixed end

Description : In case of cantilever, irrespective of the type of loading the maximum bendry moment and maximum shear force occur at a.107 dynes b.Free end c.2/3 of the length, from the free end d.Centre of the beam e.Fixed end

Last Answer : e. Fixed end

A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m units would be a.8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k

Description : A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m ... .8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k

Last Answer : a. 8i - 6j - 3k

A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be a.10.9 rad/sec b.19.0 rad/sec c.51.2 rad/sec d.3.33 rad/sec e.16.35 rad/sec

Description : A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be a.10.9 rad/sec b.19.0 rad/sec c.51.2 rad/sec d.3.33 rad/sec e.16.35 rad/sec

Last Answer : d. 3.33 rad/sec

The moment of a force is a.Equivalent to the algebraic sum of the moments acting on a body b.Equivalent to the sum of horizontal as well as vertical components of the moments on a body c.Equivalent to the sum of the moments acting on a body d.Equivalent to the sum of horizontal components of the moments on a body e.Equivalent to the vertical sum of the moments acting on a body

Description : The moment of a force is a.Equivalent to the algebraic sum of the moments acting on a body b.Equivalent to the sum of horizontal as well as vertical components of the moments on a body c.Equivalent ... of the moments on a body e.Equivalent to the vertical sum of the moments acting on a body

Last Answer : a. Equivalent to the algebraic sum of the moments acting on a body

A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.107 dynes b.i + j + k c.2i + 3j d.zero e.i - j - k

Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.107 dynes b.i + j + k c.2i + 3j d.zero e.i - j - k

Last Answer : b. i + j + k

A thin spherical shell under internal pressure will fail under a. Maximum shear stress b. Principal compressive stress c. Principal tensile stress d. None

Description : A thin spherical shell under internal pressure will fail under a. Maximum shear stress b. Principal compressive stress c. Principal tensile stress d. None

Last Answer : c. Principal tensile stress

Among the cylindrical and spherical thin vessels of same material, diameter and pressure which has the lesser thickness a. Cylindrical shell b. Spherical shell c. Cylindrical shell with semi spherical heads d. None

Description : Among the cylindrical and spherical thin vessels of same material, diameter and pressure which has the lesser thickness a. Cylindrical shell b. Spherical shell c. Cylindrical shell with semi spherical heads d. None

Last Answer : b. Spherical shell

In above case the maximum height attained by the ball would be a.49 cm b.490 cm c.980 cm d.1960 cm e.100 cm

Description : In above case the maximum height attained by the ball would be a.49 cm b.490 cm c.980 cm d.1960 cm e.100 cm

Last Answer : b. 490 cm

The law of conservation of mechanical energy is valid a.Irrespective of the nature of force field b.Only in gravitational field c.Only if the total work done by the particle in moving around in a closed trajectory is zero d.Only if the force is tangential to the trajectory e.None of the above

Description : The law of conservation of mechanical energy is valid a.Irrespective of the nature of force field b.Only in gravitational field c.Only if the total work done by the particle in moving around in a closed trajectory is zero d.Only if the force is tangential to the trajectory e.None of the above

Last Answer : c. Only if the total work done by the particle in moving around in a closed trajectory is zero

The length of Seconds Pendulum is a.992 mm b.999 mm c.994 mm d.995 mm e.1000 mm

Description : The length of Seconds Pendulum is a.992 mm b.999 mm c.994 mm d.995 mm e.1000 mm

Last Answer : c. 994 mm

An electric motor drives a windless which hauls up a crate A of weight W = 500 kg up an inclined plane through a height of 10 m in 2 minutes. The torque acting on the windless is 25 kgm and the drum of the windless makes 30 rpm. The efficiency of the inclined plane would be a.0.41 b.0.61 c.0.265 d.0.5305 e.0.66

Description : An electric motor drives a windless which hauls up a crate A of weight W = 500 kg up an inclined plane through a height of 10 m in 2 minutes. The torque acting on the windless is 25 kgm and the drum of the ... The efficiency of the inclined plane would be a.0.41 b.0.61 c.0.265 d.0.5305 e.0.66

Last Answer : d. 0.5305

A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 - t2 - 1. The acceleration of the particle after one sec will be a.6 m/sec2 b.4 m/sec2 c.12 m/sec2 d.10 m/sec2 e.8 m/sec2

Description : A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 - t2 - 1. The acceleration of the particle after one sec will be a.6 m/sec2 b.4 m/sec2 c.12 m/sec2 d.10 m/sec2 e.8 m/sec2

Last Answer : d. 10 m/sec2

A particle inside a hollow sphere of internal radius r with coefficient of friction 1/?3 can rest upto height of a.0.18 r b.0.435 r c.0.25 r d.0.134 r e.0.125 r

Description : A particle inside a hollow sphere of internal radius r with coefficient of friction 1/?3 can rest upto height of a.0.18 r b.0.435 r c.0.25 r d.0.134 r e.0.125 r

Last Answer : d. 0.134 r

A grinding wheel rotates at 3000 rpm. When power supply is cut off the wheel stops in 5 sec. The number of revolutions made by the wheel before coming to rest would be a.500 b.107 dynes c.250 d.3000 e.1000

Description : A grinding wheel rotates at 3000 rpm. When power supply is cut off the wheel stops in 5 sec. The number of revolutions made by the wheel before coming to rest would be a.500 b.107 dynes c.250 d.3000 e.1000

Last Answer : c. 250

The weight of an object will be maximum when it is placed at a.North pole b.South pole c.Equator d.Centre of earth e.Any of the above loctions

Description : The weight of an object will be maximum when it is placed at a.North pole b.South pole c.Equator d.Centre of earth e.Any of the above loctions

Last Answer : d. Centre of earth

At a roller support the line of reaction and the roller base must be at an angle of a.60? b.90? c.not less than 60? d.not more than 60? e.107 dynes

Description : At a roller support the line of reaction and the roller base must be at an angle of a.60? b.90? c.not less than 60? d.not more than 60? e.107 dynes

Last Answer : b. 90?

What force is necessary to hold a weight of 100 kg suspended on a rope wrapped 3 times around a post ( a.0.35 b.0.8 c.1.46 d.2.85 e.107 dynes

Description : What force is necessary to hold a weight of 100 kg suspended on a rope wrapped 3 times around a post ( a.0.35 b.0.8 c.1.46 d.2.85 e.107 dynes

Last Answer : a. 0.35

A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 m/sec the fuel is finished in one minute and it continues to move up. The maximum height reached will be a.2 km b.20 km c.36 km d.10 km e.80 km

Description : A rocket is fired vertically from the ground with a resultant vertical acceleration of 10 m/sec the fuel is finished in one minute and it continues to move up. The maximum height reached will be a.2 km b.20 km c.36 km d.10 km e.80 km

Last Answer : a. 2 km

The necessary condition for the forces acting on a body to be in equilibrium is that these should be a.In the same direction b.Coplaner c.Similar in nature d.Should not meet at a point e.(B) and (D) above

Description : The necessary condition for the forces acting on a body to be in equilibrium is that these should be a.In the same direction b.Coplaner c.Similar in nature d.Should not meet at a point e.(B) and (D) above

Last Answer : e. (B) and (D) above

A projectile is shot straight up with vo = 40 m/s. After how many seconds will it return if drag is neglected? a.6 b.107 dynes c.4 d.10 e.8

Description : A projectile is shot straight up with vo = 40 m/s. After how many seconds will it return if drag is neglected? a.6 b.107 dynes c.4 d.10 e.8

Last Answer : e. 8

A block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height a.block A will have higher velocity than block B while hitting the ground b.block B will hit the ground earlier. c.both will hit the ground simultaneously d.block A will hit the ground earlier e.107 dynes

Description : A block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height a.block A will have higher velocity than block B while hitting the ... . c.both will hit the ground simultaneously d.block A will hit the ground earlier e.107 dynes

Last Answer : b. block B will hit the ground earlier.

An automobile weighing 2800 lb and travelling at 30 miles/hr, hits a depression in the road which has a radius of curvature of 50 ft. What is the total force to which springs are subjected. a.8230 lb b.6170 lb c.2800 ib d.107 dynes e.3280 lb

Description : An automobile weighing 2800 lb and travelling at 30 miles/hr, hits a depression in the road which has a radius of curvature of 50 ft. What is the total force to which springs are subjected. a.8230 lb b.6170 lb c.2800 ib d.107 dynes e.3280 lb

Last Answer : b. 6170 lb