Two blocks of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley at the top of a smooth inclined plane of angle $heta$. $m_1$ lies on the incline and $m_2$ hangs vertically. If the system is in equilibrium, what is the ratio $\frac{m_1}{m_2}$?

A body is coming with a velocity of $72\;{\rm{km}}{{\rm{h}}^{ - 1}}$ on a rough horizontal surface of coefficient of friction 0.5. If the acceleration due to gravity is $10\;{\rm{m}}{{\rm{s}}^{ - 2}}$, find the minimum distance it can be stopped

A heavy uniform chain lies on horizontal table top. If the coefficient of friction between the chain and the table surface is 0.25, then the maximum fraction of the length of the chain that can hang over one edge of the table is

A body of 5 kg weight kept on a rough inclined plane of angle ${30^0}$ starts sliding with a constant velocity. Then the coefficient of friction is (assume $g = 10\;m/{s^2}$)

A block of mass $2$ kg rests on a rough inclined plane making an angle of $30^\circ$ with the horizontal. The coefficient of static friction between the block and the plane is $0.7$. The frictional force acting on the block is:

A 20 kg block is initially at rest on a rough horizontal surface. A horizontal force of 75 N is required set the block in motion. After it is in motion, a horizontal force of 60 N is required to keep the block moving with constant speed. The coefficient of static friction is

A man of mass 60 kg and a boy mass 30 kg are standing together on frictionless ice surface. If they push each other apart, man moves away with a speed of $0.4\;{\rm{m}}{{\rm{s}}^1}$ relative to ice after 5 s. They will be away from each other at a distance of

If a block is at rest on an inclined plane, what can be said about the net force acting on it?

A stone weighing 1 kg and sliding on ice with a velocity of 2 m/s is stopped by friction in 10 sec.The force of friction (assuming it to be constant) will be

A body of mass 2 kg is being dragged with uniform velocity of 2 m/s on a rough horizontal plane. The coefficient of friction between the body and the surface is 0.20. The amount of heat generated in 5 sec is (J=4.2 joule/cal and $\;g = 9.8\;m/{s^2})$

A block is placed on a smooth inclined plane. Which force is responsible for the block's motion down the incline?