Laws of Motion

Two masses '$m_1$' and '$m_2$' ($m_1 > m_2$) tied to a massless, inextensible string are hanging over a light frictionless pulley as shown. When the system is free to move, the acceleration of the masses is $g/4$. The…

A smooth pulley fixed to a frictionless axle carries two masses attached to a massless intensible string as shown in figure. If the tension in the string is 45 N, the mass M is $[M < 6\text{kg}, \text{ take } g = 10…

Consider the following forces-(a) Force of friction, (b) Collision forces, (c) Normal reaction generated by the surface and (d) Tension in strings. Which of these are electromagnetic forces?

A small disc is on the top of the hemisphere of radius $R$. The minimum horizontal velocity $v$ that should be given to the disc for it to leave the hemisphere and not slide down is $\{$consider zero friction$\}$ $\{g =…

A man weighing 60 kg is standing in a lift. If the lift moves with an acceleration of $'x'$ $\text{m/s}^2$, the apparent weight of the man is 840 N. The acceleration $'x'$ of the lift is such that ($g = 10\…

A point mass $m$ is moved in a vertical circle of radius $r$ with the help of a string. The velocity of the particle is $\sqrt{ngr}$ when the string makes an angle of $60^\circ$ with the lower vertical. The tension $T$…

A coin is thrown vertically upward in a lift which is ascending with acceleration $a$. The coin takes time $t_1$ to reach the maximum height $h$. In the later instant, the coin is dropped from the same height in a lift…

The ratio of the weight of the man in stationary lift and in a lift accelerating upwards with uniform acceleration is $2:3$. The acceleration of lift is

Which of the following statements is NOT TRUE about pseudo forces? Pseudo forces a. not accountable as per Newton's laws of motion in the inertial frame. b. not among any of the four fundamental forces. c. are…

If a road is banked at an angle $\theta$, and the cyclist is leaning inward at an angle $\theta'$ to the vertical, for an ideal turn at the optimum speed, what is the relationship between the angles?

Two blocks $A$ and $B$ of masses $3m$ and $m$ respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of…

A block $\text{A}$ of mass $m_{1}$ rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block $\text{B}$ of mass $m_{2}$ is…