
A ball is rolling without slipping in a spherical shallow bowl as shown and executing SHM. If radius of the ball is doubled, the period of oscillation *Image* A) increases slightly B) is reduced by a factor of 1/2 C) is incre ...

A plank is resting on a horizontal ground in the northern hemisphere of the earth at 45° latitude. Let the angular speed of the earth be ω and its radius be re. The magnitude of the frictional force on the plank will be A. ...

*Image* A spool of radius 100m and mass 100kg has 100 grooves of radii 1m, 2m, ..., 100m. We use pulleys to suspend masses from the grooves as shown. The mass (i)kg is associated with the groove of radius (100i)m. Find the a ...

Find the accln of the block of mass M shownin the figure . The coefficient of friction between the 2 blocks is μ1 and that between the bigger block and ground is μ2 *Image* ...

Imagine a flat earth extending to infinity in all directions.How thick should the earth be to have the same gravity at the surface as we have now? Density=5515 kg/m3 and g=9.81m/s2 ...

A Van is standing on a frictionless portion of a horizontal road. to start the engine, the vehicle must be set in motion in the forward direction. how can the person sitting inside the van do it without coming out and pushing ...

THE DEACCELERATION EXPERIENCE BY A MOVING MOTOR AFTER ITS ENGINE IS CUT OFF IS GIVEN BY dv/dx=kv3 where k is constant if v0 is the magnitude o velocity of cut off, find te magnitude of velocity at time t after the engine is ...

A small bar starts sliding down an inclined plane forming an an angle α with the horizontal.The friction coefficient depends on the distance x covered as μ=Kx where K is a constant.Find the distance covered by the bar till ...

*Image* A block of mass M/2 is kept over another block of mass M and the heavier block is kept over smooth horizontal surface.The heavier block is long enough such that the smaller block does not fall during subsequent motion ...

*Image* As the cavities are vacuum,so there will be no gravitational forces bet. them,and as d gas expands,they will simply move apart from each other? ...

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A uniform shell explodes into 3 equal parts . 2 of the parts fly off perpendicular to each other with velocities 9 & 12 m s 1 . Find the velocity of the third part ...

the friction coefficient between an athlete's shoe and ground is 0.90 .suppose a superman wears these shoes and races for 50 m . there is no upper limit on his capacity of running a) find the minimum time he will take for the ...

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A rod is resting on a plane surface. As shown in figure. The coefficient of friction is u. Angle is theta. Prove that tan1(1u2/2u) *Image* ...

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A body of mass m slides down a horizontal plane asit is pushed by aforce F which makes an angle θ with the horizontal.sow that the normal force acting on the body is given by N = mg + Fsinθ.Find the acceleration in terms of ...

*Image* A trolley is being selfpulled up an incline plane by a man sitting in it. He applies a force of 250 N. If the combined mass of the man and trolley is 100 kg, find the acceleration of the trolley. ...

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If tan^2α=1+2tan^2β,prove that cos2β=1+2cos2α ...

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