Force

A monkey of mass $20 \mathrm{kg}$ is holding a vertical rope. The rope will not break when a mass of $25 \mathrm{kg}$ is suspended from it but will break if the mass exceeds $25 \mathrm{kg}$. What is the maximum acceleration with which the monkey can climb up along the rope? $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

Block $A$ of mass $m$ and block $B$ of mass $2m$ are placed on a fixed triangular wedge by means of a massless inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at $45°$ to the horizontal on both sides. The coefficient of friction between block $A$ and the wedge is $\frac{2}{3}$ and that between block $B$ and the wedge is $\frac{1}{3}$. If the system of $A$ and $B$ is released from rest, find the magnitude and direction of the force of friction acting on $A.$

Two blocks of mass $2.9 \mathrm{kg}$ and $1.9 \mathrm{kg}$ are suspended from a rigid support $S$ by two inextensible wires each of length $1 \mathrm{m}$ see figure. The upper wire has negligible mass and the lower wire has a uniform mass of $0.2 \mathrm{kg}{\mathrm{m}}^{-1}$ . The whole system of blocks, wires and support has an upward acceleration of $0.2 \mathrm{m}{\mathrm{s}}^{-2}$ . Acceleration due to gravity is $9.8 \mathrm{m}{\mathrm{s}}^{-2}$ .

(i) Find the tension $T$ at the mid-point of the lower wire.

(ii) Find the tension  $T^{\text{'}}$  at the mid-point of the upper wire.

Three forces acting on a body are shown in the figure. To have a resultant force only along the $Y-\mathrm{axis}$, the magnitude of the minimum additional force needed is:

The rough surface of a horizontal table offers a definite maximum opposing force to initiate the motion of a block along the table, which is proportional to the resultant normal force given by the table. Forces $\mathrm{F}1$ and $\mathrm{F}2$ act at the same angle $\mathrm{\theta }$ with the horizontal and both are just initiating the sliding motion of the block along the table. Force $\mathrm{F}1$ is a pulling force while the force $\mathrm{F}2$ is a pushing force. $\mathrm{F}2 > \mathrm{F} 1$ , because

Consider following forces: $\left(\mathrm{w}\right)$ Force due to tension along a string,$\left(\mathrm{x}\right)$ Normal force given by a surface, $\left(\mathrm{y}\right)$ Force due to air resistance and $\left(\mathrm{z}\right)$Buoyant force or upthrust given by a fluid. Which of these are electromagnetic forces?

A man weighing $60 \mathrm{kg}$ is in a lift moving down with an acceleration of $1.8 \mathrm{m} {\mathrm{s}}^{-2}$. The force exerted by the floor on him is

A man weighing $60 \mathrm{kg}$ is in a lift moving down with an acceleration of $1.8 \mathrm{m} {\mathrm{s}}^{-2}$. The force exerted by the floor on him is

Block $A$ of weight $100\mathrm{ }\mathrm{N}$ rests on a frictionless inclined plane of slope angle $30°$ as shown in the figure. A flexible cord attached to $A$ passes over a frictionless pulley and is connected to block $B$ of weight $W$. Find the weight $W$ for which the system is in equilibrium.

The force, that is not displacement dependent is:

What is the field force example?

Explain weight and how it is different from mass?

What is the concept of mass? What is difference between inertial and gravitational mass ?

Unification of weak and electromagnetic interactions was done by $\_\_\_\_\_\_\_\_\_\_\_\_$