The coefficient of friction $\mu $ and the angle of friction $\lambda $ are related as
$\sin \lambda = \mu $
$\cos \lambda = \mu $
$\tan \lambda = \mu $
$\tan \mu = \lambda $
With what minimum velocity should block be projected from left end $A$ towards end $B$ such that it reaches the other end $B$ of conveyer belt moving with constant velocity $v$. Friction coefficient between block and belt is $\mu$ .
Two beads connected by massless inextensible string are placed over the fixed ring as shown in figure. Mass of each bead is $m$ , and there is no friction between $B$ and ring. Find minimum value of coefficient of friction between $A$ and ring so that system remains in equilibrium. ( $C \to $center of ring, $AC$ line is vertical)
A block of mass $m$ (initially at rest) is sliding up (in vertical direction) against a rough vertical wall with the help of a force $F$ whose magnitude is constant but direction is changing. $\theta = {\theta _0}t$ where $t$ is time in sec. At $t$ = $0$ , the force is in vertical upward direction and then as time passes its direction is getting along normal, i.e., $\theta = \frac{\pi }{2}$ .The value of $F$ so that the block comes to rest when $\theta = \frac{\pi }{2}$ , is
The limiting friction between two bodies in contact is independent of
Abody is placed on a rough inclined plane of inclination $\theta$ .As the angle $\theta$ is increased from $0^o$ to $90^o$ the contact force between the block and the plane