Laws Of Motion - Physics PYQ | Mechanics

Two blocks \(A\) and \(B\) of masses \(4 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are as shown in the figure. A horizontal force of \(12 \mathrm{~N}\) is required to make \(A\) slip over \(B\). Find the maximum horizontal force \(F_B\) that can be applied on $B$, so that both \(A\) and \(B\) move together (take, \(g=10 \mathrm{~ms}^{-2}\) )

An object dropped in a stationary lift takes time \(t_1\) to reach the floor. It takes time \(t_2\) when lift is moving up with constant acceleration. Then,

When a body is placed on a rough plane (coefficient of friction \(=~\propto\) ) inclined at an angle \(\theta\) to the horizontal, its acceleration is (acceleration due to gragvity \(=g\) )

A 30 kg slab B rests on a frictionless floor as shown in the figure. A 10 kg block A rests on top of the slab B. The coefficients of static and kinetic friction between the block A and the slab B are 0.60 and 0.40, respectively. When block A is acted upon by a horizontal force of 100 N, as shown, find the resulting acceleration of the slab B. (g = 9.8 ms\(^2\) )

Image

A book is lying on a table. What is the angle between the normal reaction acting on the book on the table and the weight of the book?

A cricket ball of mass 50 g having velocity \(50 \mathrm{~cm} \mathrm{~s}^{-1}\) to stopped in 0.5 s. The force applied to stop the ball is

Two masses \(M_1\) and \(M_2\) are arranged as shown in the figure. Let \(a\) be the magnitude of the acceleration of the mass \(M_1\). If the mass of \(M_1\) is doubled and that of \(M_2\) is halved, then the acceleration of the system is (Treat all surfaces as smooth; masses of pulley and rope are negligible)

Two rectangular blocks of masses 40 kg and 60 kg are connected by a string and kept on a frictionless horizontal table. If a force of 1000 N is applied on 60 kg block away from 40 kg block, then the tension in string is

A body is travelling with \(10 \mathrm{~ms}^{-1}\) on a rough horizontal surface. It's velocity after 2 s is \(4 \mathrm{~ms}^{-1}\). The coefficient of kinetic friction between the block and the plane is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\))

A person climbs up a conveyor belt with a constant acceleration. The speed of the belt is $\sqrt{\frac{g h}{6}}$ and coefficient of friction is $\frac{5}{3 \sqrt{3}}$. The time taken by the person to reach from $A$ to $B$ with maximum possible acceleration is

A body of 2 kg mass slides down with an acceleration of $4 \mathrm{~ms}^{-2}$ on an inclined plane having slope of $30^{\circ}$. The external force required to take the same body up the plane with same acceleration will be (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )