A rod is kept inclined at an angle `theta` with the horizontal A sleeve of mass m can slide on the rod. If the coefficient of friction between the rod and the sleeve is `mu`, for what values of horizontal acceleration a of the rod, towards left, the sleeve will not slide over the rod?

A conductor (rod) of mass m, length l carrying a current i is subjected to a magnetic field of induction B. If the coefficients of friction between the conducting rod and rail is mu, find the value of I if the rod starts sliding.

A conductor (rod) of mass m, length l carrying a current i is subjected to a magnetic field of induction B. If the coefficients of friction between the conducting rod and rail is mu, find the value of I if the rod starts sliding.

A rod of mass M and length L lies on an incline having inclination of theta = 37^(@) . The coefficient of friction between the rod and the incline surface is mu = 0.90 . Find the tension at the mid point of the rod.

Two hemispheres of radii R and r(lt R) are fixed on a horizontal table touching each other (see figure). A uniform rod rests on to spheres as shown. The coefficient of friction between the rod and two spherers is mu . Then the maximum value of the ratio (r)/(R) for which the rod will not slide is :

Two hemispheres of radii R and r(lt R) are fixed on a horizontal table touching each other (see figure). A uniform rod rests on to spheres as shown. The coefficient of friction between the rod and two spherers is mu . Then the maximum value of the ratio (r)/(R) for which the rod will not slide is :

A uniform rod is held at an angle of 45^@ to the horizontal and released from rest as shown. The minimum coefficient of friction between plane and rod required so that the rod does not slip on the plane upon releases, will be

A uniform rod is made to lean between a rough vertical wall and the ground. The coefficient of friction between the rod and the ground is mu_(1) and between the rod and the wall is mu_(2) . Find the angle at which the rod can he leaned without slipping.