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General
Easy
Question
An unstretched massless rope is wrapped around a solid cylinder of mass 
and radius 
of the rope is fixed while cylinder is released from rest. The acceleration of the rope is
The correct answer is:
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physics-
A hollow sphere is released from the top of a wedge as shown in the figure. There is no friction between the wedge and the ground. There is sufficient friction to provide pure rolling of the sphere. The velocity of the sphere with respect to ground just before it leaves the wedge will be [Assume masses of the wedge and sphere are equal, h>>R the radius of sphere and the portion of wedge where the sphere leaves the wedge is horizontal]
A hollow sphere is released from the top of a wedge as shown in the figure. There is no friction between the wedge and the ground. There is sufficient friction to provide pure rolling of the sphere. The velocity of the sphere with respect to ground just before it leaves the wedge will be [Assume masses of the wedge and sphere are equal, h>>R the radius of sphere and the portion of wedge where the sphere leaves the wedge is horizontal]
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Physics-
A non homogenous solid cylinder of radius r is placed on a rough inclined plane of angle of inclination 60° The angle of repose corresponds to 30°. The maximum radius of gyration in order to prevent slipping is :
A non homogenous solid cylinder of radius r is placed on a rough inclined plane of angle of inclination 60° The angle of repose corresponds to 30°. The maximum radius of gyration in order to prevent slipping is :
Physics-General
physics-
Four solid spheres P, Q, R and S are made to move on a horizontal surface which is rough enough. Sphere P is given a spin and released sphere Q is given a linear velocity and released ; sphere R is given a reverse spin and a forward linear velocity and released ; sphere S is given a forward spin and a forward linear velocity as shown in figure the direction of frictional force F for P, Q, R and S will be along
Four solid spheres P, Q, R and S are made to move on a horizontal surface which is rough enough. Sphere P is given a spin and released sphere Q is given a linear velocity and released ; sphere R is given a reverse spin and a forward linear velocity and released ; sphere S is given a forward spin and a forward linear velocity as shown in figure the direction of frictional force F for P, Q, R and S will be along
physics-General
physics-
A disc of radius 20 cm is rolling with slipping on a flat horizontal surface. At a certain instant the velocity of its centre is 4 m/s and its angular velocity is 10rad/s. The lowest contact point is O
A disc of radius 20 cm is rolling with slipping on a flat horizontal surface. At a certain instant the velocity of its centre is 4 m/s and its angular velocity is 10rad/s. The lowest contact point is O
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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
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
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physics-
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
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
physics-General
physics-
Fig shows smooth inclined plane of inclination 
fixed in a car. A sphere is set in pure rolling on the incline. For what value of a the acceleration of car in horizontal direction) the sphere will continue pure rolling.
Fig shows smooth inclined plane of inclination fixed in a car. A sphere is set in pure rolling on the incline. For what value of a the acceleration of car in horizontal direction) the sphere will continue pure rolling.
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physics-
The arrangement shown in figure consists of two identical uniform solid cylinders, each of mass m, on which two light threads are wound symmetrically. Find the tension of each thread in the process of motion. The friction in the axile of the upper cylinder is assumed to be absent.
The arrangement shown in figure consists of two identical uniform solid cylinders, each of mass m, on which two light threads are wound symmetrically. Find the tension of each thread in the process of motion. The friction in the axile of the upper cylinder is assumed to be absent.
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physics-
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)
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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physics-
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
physics-General
Physics-
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 
and 
. It follows that :
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 and . It follows that :
Physics-General
physics-
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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physics-
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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physics-
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) :
physics-General
physics-
A slender rod of mass m and length L is pivoted about a horizontal axis through one end and released from rest at an angle of 30° above the horizontal. The force exerted by the pivot on the rod at the instant when the rod passes through a horizontal position is
A slender rod of mass m and length L is pivoted about a horizontal axis through one end and released from rest at an angle of 30° above the horizontal. The force exerted by the pivot on the rod at the instant when the rod passes through a horizontal position is
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