A very small cube of mass `m` is placed on the inside of a conial funnelof semivertical angle `(pi//2-theta)`. The funnel is then set in rotation. If the coefficient of static friction between the cube and the funnel is `mu` and the centre of the cube is at a distance`r` from the axis of rotation, what are the largest and smallest angular velocities with which the funnel can be rotated so that the block will not move with respect to the funnel ?

A coin just remains on a disc rotating at 120 r.p.m. when kept at the distance of 1.5 cm from the axis of rotation. Find the coefficient of friction between the coin and the disc.

The coefficient of static friction between a small coin and the surface of a turntable is 0.30 . The turntable rotates at 2 rad s^(-1) . What is maximum distance from the centre of the turntable at which the coin will not slide ?

A cube of mass m is placed on top of a wedge of mass 2m, as shown in figure. There is no friction between the cube and the wedge. The minimum co - efficient of friction between the wedge and the horizontal surface, so that the wedge does not move is

A coin kept on a horizontal rotating disc has its centre at a distance of 0.25 m from the axis of rotation of the disc. If mu is 0.2, then the angular velocity of the disc at which the coin willslip off, is

A force F is applied on the top of a cube as shown in the figure. The coefficient of friction between the cube and the ground is mu . If F is gradually increased, find the value of mu for which the cube will topple before sliding.

A force F is applied on the top of a cube as shown in the figure. The coefficient of friction between the cube and the ground is mu . If F is gradually increased, find the value of mu for which the cube will topple before sliding.

A small coin of mass 40 g is placed on the horizontal surface of a rotating disc. The disc starts from rest and is given a constant angular acceleration alpha="2 rad s"^(-2) . The coefficient of static friction between the coin and the disc is mu_(s)=3//4 and the coefficient of kinetic friction is mu_(k)=0.5. The coin is placed at a distance r=1m from the centre of the disc. The magnitude of hte resultant force on the coin exerted by the disc just before it starts slipping on the disc is :

A small coin of mass 40 g is placed on the horizontal surface of a rotating disc. The disc starts from rest and is given a constant angular acceleration alpha="2 rad s"^(-2) . The coefficient of static friction between the coin and the disc is mu_(s)=3//4 and the coefficient of kinetic friction is mu_(k)=0.5. The coin is placed at a distance r=1m from the centre of the disc. The magnitude of the resultant force on the coin exerted by the disc just before it starts slipping on the disc is?