Laws of Motion PYQs - Last 10 Years

A car travels on a circular racetrack of radius 50 m , which is banked at an angle $\theta$. If the car travels at a speed $10 \mathrm{~ms}^{-1}$, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be ...

A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is 0.12 . Keeping the box in stationary state over the trolley, the maximum acceleration with which the tro...

The magnitude and direction of the acceleration produced in a body of mass 5 kg when two mutually perpendicular forces 8 N and 6 N act on it, are respectively:

There are two inclined surfaces of equal length $(L)$ and same angle of inclination $45^{\circ}$ with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on rough sur...

A box of mass \(5 \mathrm{~kg}\) is pulled by a cord, up along a frictionless plane inclined at \(30^{\circ}\) with the horizontal. The tension in the cord is \(30 \mathrm{~N}\). The acceleration of the box is (Take $$g=10 \mathrm{~m} \math...

A horizontal force \(10 \mathrm{~N}\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2 \mathrm{~kg}\) and 3 \(\mathrm{kg}\) respectively. The blocks slide over a frictionless surface. The force exer...

A particle moving with uniform speed in a circular path maintains:

A block of mass 2 kg is placed on inclined rough surface AC (as shown in figure) of coefficient of friction \(\mu\). If g = 10 m s\(^{-2}\), the net force (in N) on the block will be:

A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24 \mathrm{~cm}\) through the block along its length horizontally, velocity of bullet becomes \(\frac{u}{3}\). Then it further penetrates ...

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0.15
\(\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)\)...

A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :

In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth) :
(Given g = 10 ms\(-\)2)

If \(\overrightarrow F = 2\widehat i + \widehat j - \widehat k\) and \(\overrightarrow r = 3\widehat i + 2\widehat j - 2\widehat k\), then the scalar and vector products of \(\overrightarrow F\) and \(\overrightarrow r\) have the magnit...

Two bodies of mass 4 kg and 6 kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity (g) is :

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when :

A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cyli...

A block of mass m is placed on a smooth inclined
wedge ABC of inclination q as shown in the
figure. The wedge is given an acceleration ‘a’
towards the right. The relation between a and q
for the block to remain stationary on the wedge
is

Which one of the following statements is
incorrect?

One end of string of length \(l\) is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed '\(\upsilon\)', the net force on the particle ...

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 and B immediately after the s...