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A hollow cylinder with inner radius R, outer radius 2R and mass M is rolling with speed of its axis v. Its kinetic energy is
- None of these
The correct answer is:
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A disc of radius R rolls without slipping at speed 
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A disc of radius R rolls without slipping at speed along positive x-axis. Velocity of point P at the instant shown in fig is
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Fig shows smooth inclined plane of inclination 
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A uniform cylinder of mass M and radius R rolls without slipping down a slope of angle 
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A uniform cylinder of mass M and radius R rolls without slipping down a slope of angle with horizontal. The cylinder is connected to a spring of force constant k at the centre, the other side of which is connected to a fixed support at A. The cylinder is released when the spring is unstretched. The force of friction f)
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A plank P is placed on a hollow cylinder C, which rolls on a horizontal surface as shown. No slippage is there at any of the surface in contact. Both have equal mass say M each) and if v is the velocity of centre of mass of the cylinder C, then the ratio of the kinetic energy of plank P to the cylinder C is
A plank P is placed on a hollow cylinder C, which rolls on a horizontal surface as shown. No slippage is there at any of the surface in contact. Both have equal mass say M each) and if v is the velocity of centre of mass of the cylinder C, then the ratio of the kinetic energy of plank P to the cylinder C is
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A uniform thin ring ABCD rolls without slipping on a rough horizontal surface, The line BD is horizontal and line AC is vertical. The kinetic energies of section AB, BC, CD and DA are respectively 
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. It follows that :
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A cylinder execute pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force F. Choose the correct alternative :
A cylinder execute pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force F. Choose the correct alternative :
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A billiard player hits a billiard ball of mass m and radius r lying at rest on the billiard table. When the cue hits the ball horizontally with force F at height (r+h) from the table top the ball rolls without slipping h is given as
A billiard player hits a billiard ball of mass m and radius r lying at rest on the billiard table. When the cue hits the ball horizontally with force F at height (r+h) from the table top the ball rolls without slipping h is given as
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Angular acceleration of the cylinder C shown if Fig. (all strings and pulley are ideal) :
Angular acceleration of the cylinder C shown if Fig. (all strings and pulley are ideal) :
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A uniform rod AB rests on a smooth floor leaning against a smooth wall. The rod AB is released when is small. the instantaneous centre of rotation always lies in the :
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A Constant force acting at the centre of a uniform disc of radius r is always perpendicular to the plane of the disc. The disc can rotate about a chord at a distance x from the centre of the disc. For what value of x will the angular acceleration of the disc be maximum?
A Constant force acting at the centre of a uniform disc of radius r is always perpendicular to the plane of the disc. The disc can rotate about a chord at a distance x from the centre of the disc. For what value of x will the angular acceleration of the disc be maximum?
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Two identical particles B and C each of mass 50 g are connected by a light rod of length 30 cm. Another particle A has same mass moving with a speed u=60 cm/s strikes B, in a direction perpendicular to AB. and sticks to it. The whole, process takes place on a smooth horizontal plane. The angular momentum L and angular velocity 
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Two identical particles B and C each of mass 50 g are connected by a light rod of length 30 cm. Another particle A has same mass moving with a speed u=60 cm/s strikes B, in a direction perpendicular to AB. and sticks to it. The whole, process takes place on a smooth horizontal plane. The angular momentum L and angular velocity of the system its centre of mass, immediately after the impact is given by ( in SI units)
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A uniform disc rotates freely about a perpendicular axis making 
revolutions per minute. wax of mass m falls vertically and sticks to the disc at distance x from the axis Rotational speed reduced to 
, then moment of inertia of the disc is
A uniform disc rotates freely about a perpendicular axis making revolutions per minute. wax of mass m falls vertically and sticks to the disc at distance x from the axis Rotational speed reduced to , then moment of inertia of the disc is
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