A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)

A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is a.ar2 / (R2 - r2) b.107 dynes c.aR/(R2-r2) d.aR/(R - r) e.ar3 / (R3 - r3)
by

1 Answer

Answer :

e. ar3 / (R3 - r3)
by

Related questions

Centroid of the are of circle shown in adjacement figure is a.r sin (?/2)/2 ?, 0 b.r sin (?)/?, 0 c.2 r sin (?/2)/?, 0 d.107 dynes e.2r sin (?)/?, 0

Description : Centroid of the are of circle shown in adjacement figure is a.r sin (?/2)/2 ?, 0 b.r sin (?)/?, 0 c.2 r sin (?/2)/?, 0 d.107 dynes e.2r sin (?)/?, 0

Last Answer : c. 2 r sin (?/2)/?, 0

The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be a.2.7 b.2.55 c.107 dynes d.2.6 e.2.65

Description : The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be a.2.7 b.2.55 c.107 dynes d.2.6 e.2.65

Last Answer : a. 2.7

The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be a.107 dynes b.0.44 c.0.43 d.0.45 e.0.46

Description : The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be a.107 dynes b.0.44 c.0.43 d.0.45 e.0.46

Last Answer : d. 0.45

The centroid of a triangle is at the inter-section of a.perpendicular bisectors b.107 dynes c.base and perpendicular from opposite vertex d.perpendiculars down from the corners e.medians

Description : The centroid of a triangle is at the inter-section of a.perpendicular bisectors b.107 dynes c.base and perpendicular from opposite vertex d.perpendiculars down from the corners e.medians

Last Answer : e. medians

The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

Description : The radius of gyration of a solid sphere of radius r is equal to a.0.8 r2 b.0.2 r2 c.0.3 r2 d.0.4 r2 e.0.5 r2

Last Answer : d. 0.4 r2

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

If a solid sphere rolls on a horizontal surface, then the ratio of its rotational kinetic energy to its total kinetic energy is a.1 ; 7 b.3 ; 7 c.107 dynes d.4 ; 7 e.2 ; 7

Description : If a solid sphere rolls on a horizontal surface, then the ratio of its rotational kinetic energy to its total kinetic energy is a.1 ; 7 b.3 ; 7 c.107 dynes d.4 ; 7 e.2 ; 7

Last Answer : e. 2 ; 7

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

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

A imaginary planet has half the mass and half the radius of the earth. The acceleration of gravity at its surface would be a.9.8 m/s2 b.107 dynes c.4.9 m/s2 d.19.6 m/s2 e.2.45 m/s2

Description : A imaginary planet has half the mass and half the radius of the earth. The acceleration of gravity at its surface would be a.9.8 m/s2 b.107 dynes c.4.9 m/s2 d.19.6 m/s2 e.2.45 m/s2

Last Answer : d. 19.6 m/s2

The mass, in kg, of the earth if its radius is 6400 km, will be a.6 x 1024 b.6 x 1025 c.107 dynes d.6 x 1023 e.6 x 1022

Description : The mass, in kg, of the earth if its radius is 6400 km, will be a.6 x 1024 b.6 x 1025 c.107 dynes d.6 x 1023 e.6 x 1022

Last Answer : a. 6 x 1024

What will be the duration of day and night if the earth shrinks to half the present radius? a.6 hours b.12 hours c.107 dynes d.3 hours e.24 hours

Description : What will be the duration of day and night if the earth shrinks to half the present radius? a.6 hours b.12 hours c.107 dynes d.3 hours e.24 hours

Last Answer : a. 6 hours

A boy sitting in a rail road car throws a ball straight up into the air. The ball will fall back into his hands when the rail road car is a.moving at constant velocity b.accelerating forward while going around a curve of radius equal to the maximum height attained by the ball c.107 dynes d.accelerating forwardA block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height e.decelerating

Description : A boy sitting in a rail road car throws a ball straight up into the air. The ball will fall back into his hands when the rail road car is a.moving at constant velocity b.accelerating ... inclined plane, while another identical block B is released for free fall from the same height e.decelerating

Last Answer : a. moving at constant velocity

A satellite orbits the earth 200 km above the surface. What speed, in m/s, is necessary for a circular orbit? The radius of the earth is 6400 km and g = 9.2 m/s2 a.7200 b.6600 c.7800 d.6000 e.107 dynes

Description : A satellite orbits the earth 200 km above the surface. What speed, in m/s, is necessary for a circular orbit? The radius of the earth is 6400 km and g = 9.2 m/s2 a.7200 b.6600 c.7800 d.6000 e.107 dynes

Last Answer : c. 7800

A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2? a.10 b.9 c.11 d.8 e.107 dynes

Description : A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2? a.10 b.9 c.11 d.8 e.107 dynes

Last Answer : a. 10

A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is a.1000 b.107 dynes c.10000 d.10470 e.5235

Description : A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is a.1000 b.107 dynes c.10000 d.10470 e.5235

Last Answer : d. 10470

A man is standing near the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platform will decrease if he a.extends his arms outwards b.moves towards the axis of rotation c.jumps out from the platform d.accepts a heavy bag from one of his friends standing near by and holds it in his hand e.107 dynes

Description : A man is standing near the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platform will decrease if he a.extends his arms outwards b.moves ... heavy bag from one of his friends standing near by and holds it in his hand e.107 dynes

Last Answer : d. accepts a heavy bag from one of his friends standing near by and holds it in his hand

A man is standing ner the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platorm will decrease if he a.extends his arms outwards b.107 dynes c.moves towards the axis of rotation d.jumps out from that platform e.take out his coat and throws away

Description : A man is standing ner the edge of a uniformly rotating platform about an axis passing through its centre. The speed of rotation of the platorm will decrease if he a.extends his arms outwards b.107 ... towards the axis of rotation d.jumps out from that platform e.take out his coat and throws away

Last Answer : a. extends his arms outwards

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

The gravitational field intensity is maximum at the a.107 dynes b.at a height above the surface c.pole d.equator e.centre of the earth

Description : The gravitational field intensity is maximum at the a.107 dynes b.at a height above the surface c.pole d.equator e.centre of the earth

Last Answer : e. centre of the earth

Our weight will be zero under all of the following conditions EXCEPT a.107 dynes b.We are at the centre of the earth c.When we are ascending in a lift with acceleration of 4.9 m/s2 d.We are orbiting in a satellite e.When we are freely faling

Description : Our weight will be zero under all of the following conditions EXCEPT a.107 dynes b.We are at the centre of the earth c.When we are ascending in a lift with acceleration of 4.9 m/s2 d.We are orbiting in a satellite e.When we are freely faling

Last Answer : c. When we are ascending in a lift with acceleration of 4.9 m/s2

In a tug of war, five men pull a rope to the left at A and six moen pull the rope at B. A weight of 5 kg is hung vertically from the centre of the rope. In order that the rope AB be horizontal a.the force applied on A must be equal to that on B b.at least one man on side B should be removed c.infinite force will be required to be applied at both ends d.the force required on A must not be equal to that on B e.107 dynes

Description : In a tug of war, five men pull a rope to the left at A and six moen pull the rope at B. A weight of 5 kg is hung vertically from the centre of the rope. In order that the rope AB be horizontal ... to be applied at both ends d.the force required on A must not be equal to that on B e.107 dynes

Last Answer : c. infinite force will be required to be applied at both ends

Instantaneous centre for a rolling wheel on a straight track will be at a.107 dynes b.A c.B d.C e.D

Description : Instantaneous centre for a rolling wheel on a straight track will be at a.107 dynes b.A c.B d.C e.D

Last Answer : e. D

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

If the distance to electric train is given by Fr = a + bv + cv2 In this equation constant c is likely to cover a.air resistance b.track resistance c.frictional resistance d.flange resistance e.107 dynes

Description : If the distance to electric train is given by Fr = a + bv + cv2 In this equation constant c is likely to cover a.air resistance b.track resistance c.frictional resistance d.flange resistance e.107 dynes

Last Answer : a. air resistance

In case of a beam subjected to pure bending a.107 dynes b.the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis c.the stress intensity in any fibre is proportional to the distance of the fibre from the load carrying end d.the stress intensity in any fibre is uniform e.the nature of stress in any fibre is identical

Description : In case of a beam subjected to pure bending a.107 dynes b.the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis c.the stress intensity in any fibre is ... d.the stress intensity in any fibre is uniform e.the nature of stress in any fibre is identical

Last Answer : b. the stress intensity in any fibre is proportional to the distance of the fibre from the neutral axis

If you want to stop the car in the shortest distance on an icy road, you should a.107 dynes b.not apply the brakes c.pump' the brakes d.push hard the brakes to lock the wheels e.push just hard enough to prevent slipping

Description : If you want to stop the car in the shortest distance on an icy road, you should a.107 dynes b.not apply the brakes c.pump' the brakes d.push hard the brakes to lock the wheels e.push just hard enough to prevent slipping

Last Answer : e. push just hard enough to prevent slipping

According to Kepler's law of motion the square of the time period T of a planet around the sun is proportional to the a.mean distance b.square of the mean distance of planet from sun c.cube of the mean distance of planet from sun d.107 dynes e.3/2 power of the mean distance

Description : According to Kepler's law of motion the square of the time period T of a planet around the sun is proportional to the a.mean distance b.square of the mean distance of planet from sun c.cube of the mean distance of planet from sun d.107 dynes e.3/2 power of the mean distance

Last Answer : c. cube of the mean distance of planet from sun

When horizontal range of a projectile equal to the distance through which projectile will rise, then the angle of projection of the particle will be equal to a.36? b.24? c.48? d.107 dynes e.76?

Description : When horizontal range of a projectile equal to the distance through which projectile will rise, then the angle of projection of the particle will be equal to a.36? b.24? c.48? d.107 dynes e.76?

Last Answer : e. 76?

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?

According to principle of transmissiblity of forces, when a force acts upon a body, its effect is a.maximum when it acts at C.G. of the body b.minimum when it acts at C.G. of the body c.different at different points of the body d.107 dynes e.same at every point in its line of action

Description : According to principle of transmissiblity of forces, when a force acts upon a body, its effect is a.maximum when it acts at C.G. of the body b.minimum when it acts at C.G. of the body c.different at different points of the body d.107 dynes e.same at every point in its line of action

Last Answer : e. same at every point in its line of action

The resultant of coplaner parallel forces is found by load line diagram, while the position is found by a.link polygen b.funicular polygon c.string polygon d.any of the above e.107 dynes

Description : The resultant of coplaner parallel forces is found by load line diagram, while the position is found by a.link polygen b.funicular polygon c.string polygon d.any of the above e.107 dynes

Last Answer : d. any of the above

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

Let the only force acting on two bodies be their mutual interactions. If both bodies start from rest, the distances travelled by each will be a a.proportional to the respective masses of the bodies b.107 dynes c.inversely proportional to the respective masses of the bodies d.directly proportional to the square of the respective masses of the bodies e.inversely proportional to the square of the respective masses of the bodies

Description : Let the only force acting on two bodies be their mutual interactions. If both bodies start from rest, the distances travelled by each will be a a.proportional to the respective masses of the ... masses of the bodies e.inversely proportional to the square of the respective masses of the bodies

Last Answer : c. inversely proportional to the respective masses of the bodies

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

Last Answer : c. (P-Q)

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.

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

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

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 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.

A ball A of mass 0.25 kg moving on a smooth horizontal table with a velocity of 10 m/s strikes an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after the impact will be a.2.5 m/s b.zero c.5 m/s d.10 m/s e.107 dynes

Description : A ball A of mass 0.25 kg moving on a smooth horizontal table with a velocity of 10 m/s strikes an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after the impact will be a.2.5 m/s b.zero c.5 m/s d.10 m/s e.107 dynes

Last Answer : c. 5 m/s

A stone weighing 20 N is whirling in a vertical circle at the extremity of a string 100 cm long. The tension in the string will be zero a.at the highest position b.at the lowest position c.at the midway position d.at none of the above e.107 dynes

Description : A stone weighing 20 N is whirling in a vertical circle at the extremity of a string 100 cm long. The tension in the string will be zero a.at the highest position b.at the lowest position c.at the midway position d.at none of the above e.107 dynes

Last Answer : a. at the highest position

A hammer gains 50 Ns momentum in 0.05 sec. The average force on the hammer will be a.500 N b.2000 N c.1500 N d.107 dynes e.1000 N

Description : A hammer gains 50 Ns momentum in 0.05 sec. The average force on the hammer will be a.500 N b.2000 N c.1500 N d.107 dynes e.1000 N

Last Answer : e. 1000 N

A bullet is fired vertically upwards with a velocity of 2200 ft/s. Bullet ascends to a height of a.56,900 ft b.107 dynes c.75,000 ft d.48.300 ft e.65,800 ft

Description : A bullet is fired vertically upwards with a velocity of 2200 ft/s. Bullet ascends to a height of a.56,900 ft b.107 dynes c.75,000 ft d.48.300 ft e.65,800 ft

Last Answer : c. 75,000 ft

What is the maximum force, in Newtons, that will not cause tension? a.294 b.316 c.346 d.184 e.107 dynes

Description : What is the maximum force, in Newtons, that will not cause tension? a.294 b.316 c.346 d.184 e.107 dynes

Last Answer : a. 294

A body having SHM has period of 6 sec and amplitude of 4 mts. Maximum velocity is a.?/3 m/s b.2?/3 m/s c.107 dynes d.3? m/s e.4?/3 m/s

Description : A body having SHM has period of 6 sec and amplitude of 4 mts. Maximum velocity is a.?/3 m/s b.2?/3 m/s c.107 dynes d.3? m/s e.4?/3 m/s

Last Answer : e. 4?/3 m/s

A compressure force in boom in above problem is a.107 dynes b.1096 kg c.886 kg d.693 kg e.1390 kg

Description : A compressure force in boom in above problem is a.107 dynes b.1096 kg c.886 kg d.693 kg e.1390 kg

Last Answer : e. 1390 kg

A non-reversible machine has efficiency a.less than 50% b.nearly 100% c.between 75% and 99% d.more than 50% e.107 dynes

Description : A non-reversible machine has efficiency a.less than 50% b.nearly 100% c.between 75% and 99% d.more than 50% e.107 dynes

Last Answer : a. less than 50%

The breaking strength of a rope is 400 N. A fireman weighing 60 kg slides down the rope. The rope will break if a.107 dynes b.the acceleration is 7.5 m/s2 c.the acceleration is 1.2 m/s2 d.the acceleration is 3.1 m/s2 e.the slides with an acceleration of 15 m/s2

Description : The breaking strength of a rope is 400 N. A fireman weighing 60 kg slides down the rope. The rope will break if a.107 dynes b.the acceleration is 7.5 m/s2 c.the acceleration is 1.2 m/s2 d.the acceleration is 3.1 m/s2 e.the slides with an acceleration of 15 m/s2

Last Answer : c. the acceleration is 1.2 m/s2