Two masses $m$ and $M$ are attached with strings as shown in the figure. For the system to be in equilibrium, we must have


 

A flexible chain of weight $W$ hangs between two fixed points $A$ and $B$ at the same level. The inclination of the chain with the horizontal at the two points of support is $\theta$. What is the tension of the chain at the endpoint.

If $100 \mathrm{N}$ force is applied on the block. Then, frictional force acting on the block will be (in Newton),

A block of mass $200 \mathrm{kg}$ is being pulled by some men, up an inclined plane of inclination $45°$ and coefficient of friction $0.5$, as shown in the figure. If each man can apply a maximum force of $500 \mathrm{N}$, then the minimum number of men required to just slide the block, up the plane is

A man of mass $60 \mathrm{kg}$ is standing on a horizontal conveyor belt (see figure). When the belt is given an acceleration of $1 \mathrm{m} {\mathrm{s}}^{-2}$, the man remains stationary with respect to the moving belt. If $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.