Questions in Motion in A Plane

Select	Question
	A small disc is on the top of a hemisphere of radius \[R\]. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction]
	A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is
	A bucket full of water is revolved in vertical circle of radius 2m. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket
	Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A to B is
	The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is
	For a particle in circular motion the centripetal acceleration is
	A particle moves in a circular path with decreasing speed. Choose the correct statement.
	A body of mass 1 kg is moving in a vertical circular path of radius 1m. The difference between the kinetic energies at its highest and lowest position is
	The angle turned by a body undergoing circular motion depends on time as \[\theta = {\theta _0} + {\theta _1}t + {\theta _2}{t^2}\]. Then the angular acceleration of the body is
	The maximum range of a gun on horizontal terrain is 16 km. If \[g = 10m/{s^2}\]. What must be the muzzle velocity of the shell