The force required just to move a body up an inclined plane is double the force required just to prevent the body from sliding down. If $\mu $ is the coefficient of friction, the inclination of plane to the horizontal is
$\theta \, = \,{\tan ^{ - 1}}\,(3\mu )$
$\theta \, = \,{\tan ^{ - 1}}\,(2\mu )$
$\theta \, = \,{\tan ^{ - 1}}\,(4\mu )$
$\theta \, = \,{\tan ^{ - 1}}\,(\mu )$
A block pressed against the vertical wall is in equilibrium. The minimum coefficient of friction is:-
A uniform chain of $6\, m$ length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is $0.5$, the maximum length of the chain hanging from the table is.......$m.$
A force acts on a block as shown in figure. Find time when block loses contact with surface.
A uniform rod of length $L$ and mass $M$ has been placed on a rough horizontal surface. The horizontal force $F$ applied on the rod is such that the rod is just in the state of rest. If the coefficient of friction varies according to the relation $\mu = Kx$ where $K$ is a $+$ ve constant. Then the tension at mid point of rod is
A force $f$ is acting on a block of mass $m$. Coefficient of friction between block and surface is $\mu$. The block can be pulled along the surface if :-