Two forces are acting in a mutually perpendicular direction at a point. If the magnitude of both forces is equal i.e. $100 \mathrm{N}$. Find the resultant force acting at that point.

Two blocks $\mathrm{A}$ and $\mathrm{B}$ pushed against a wall with a force $\mathrm{F}$. The surfaces of $\mathrm{A}$ and $\mathrm{B}$ are rough and the wall is smooth. Which of the following statements is true?

A mass $\mathrm{M}=50 \mathrm{kg}$ is suspended with the use of strings $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ as shown in fig. W is a vertical wall and $\mathrm{R}$ is a rigid horizontal rod. The tension in the string $\mathrm{B}$ is:

Two masses $\mathrm{A}$ and $\mathrm{B}$ of $15 \mathrm{kg}$ and $10 \mathrm{kg}$ are connected with a string passing over a frictionless pulley fixed at the corner of a table, (as shown in Fig.) The coefficient of friction between the table and block is $0.4$. The minimum mass of $\mathrm{C}$, that may be placed on $A$ to prevent it from moving is

A block of mass $\mathrm{m}$ is in contact with the cart $\mathrm{c}$ as shown The coefficient of static friction between the block and the cart is $\mu$. The acceleration ' $\text{a}$ ' of the cart that will prevent the block from falling satisfies:

What is the maximum value of the force $\mathrm{F}$ such that the block shown in the arrangement,does not move?

Block $\mathrm{A}$ of mass $\mathrm{m}$ and block $\mathrm{B}$ of mass $2\mathrm{m}$ are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in. The wedge is inclined at $45°$ to the horizontal on both the sides. The coefficient of friction between the block $\mathrm{A}$ and the wedge is $\frac{2}{3}$ and that between the block $B$ and the wedge is $\frac{1}{3}$ and both the blocks $\mathrm{A}$ and $\mathrm{B}$ are released from rest, the acceleration of $\mathrm{A}$ will be:

A pulley and strings shown in are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be:

A flexible chain of weight W hangs between two fixed points $A$ and $B$ which are at the same horizontal level. The inclination of the chain with the horizontal at both the point supports is $\theta$. What is the tension in the chain at the midpoint?

A block of mass $\mathrm{m}$ lying on a rough horizontal surface is acted upon by a horizontal force $P$ and another force $Q$ at an angle $\theta$ to the vertical line,The block will remain in equilibrium if the coefficient of friction between it and the surface is 

A horizontal force of $10\mathrm{N}$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is: