Initially the whole system is at rest and now a force of $62\ N$ is applied on the block $B$ as shown in the figure. Find the time taken by $'A'$ to fall from the block $'B'$ ........... $\sec$
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A block of mass $70\,kg$ is kept on a rough horizontal surface $(\mu = 0.4)$. A person is trying to pull the block by applying a horizontal force, but the block is not moving. The net contact force exerted by the surface on the block is $F$, then
A particle moves in a horizontal circle on the smooth inner surface of a hemispherical bowl of radius $R$. The plane of motion is at a depth $d$ below the centre of the hemisphere. The speed of the particle is :-
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by
A particle is projected with a speed ${v_0} = \sqrt {gR} $ . The coefficient of friction between the particle and the hemispherical plane is $\mu = 0.5$ . Then, the initial acceleration of the particle is
A car turns a corner on a slippery road at a constant speed of $10\,m/s$. If the coefficient of friction is $0.5$, the minimum radius of the arc in meter in which the car turns is
Block $A$ weighing $100$ kg rests on a block $B$ and is tied with a horizontal string to the wall at $C$. Block $B$ weighs $200 \,kg$. The coefficient of friction between $A$ and $B$ is $0.25$ and between $B$ and the surface is $1/3$. The horizontal force $P$ necessary to move the block $B$ should be ........ $N$ $(g = 10\,m/{s^2})$
A small ball of mass $m$ starts at a point $A$ with speed $v_0$ and moves along a frictionless track $AB$ as shown. The track $BC$ has coefficient of friction $\mu $. The ball comes to stop at $C$ after travelling a distance $L$ which is
A $2 \,kg$ mass starts from rest on an inclined smooth surface with inclination $30^°$ and length $2\, m$. ...... $m$ will it travel before coming to rest on a frictional surface with frictional coefficient of $0.25$