List of top Physics Questions on Mechanics asked in IPU CET

A cylinder rolls up an inclined plane at an angle of 30°. At the bottom of the inclined plane, the centre of mass of the cylinder has speed of 5 m/s. How long will it take to return to the bottom?
A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 m long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the tension.
At high altitude, a body at rest explodes into two equal fragments with one fragment receiving horizontal velocity of 10 m/s. Time taken by the two radius vectors connecting point of explosion of fragments to make 90° is

A ball of mass \( m \) moving at a speed \( v \) makes a head-on collision with an identical ball at rest. The kinetic energy at the balls after the collision is \( \frac{3}{4} \) of the original. What is the coefficient of restitution?

If torques of equal magnitudes are applied to a hollow cylinder and a solid sphere both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry and the sphere is free to rotate about an axis passing through its center. Which of the two will acquire a greater angular speed after a given time?
A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 m/s, what is the recoil speed of the gun?

A block of mass \( m \) is in contact with the cart C as shown in the figure. The coefficient of static friction between the block and the cart is \( \mu \). The acceleration \( a \) of the cart that will prevent the block from falling satisfies:

Ball A moving at 12 m/s collides elastically with ball B, initially at rest as shown. If both balls have the same mass, then what is the final velocity of ball A?

The maximum and minimum distances of a comet from the Sun are $8 \times 10^{12} \, \text{m}$ and $1.6 \times 10^{12} \, \text{m}$. If its velocity when nearest to the Sun is $60 \, \text{m/s}$, what will be its velocity in m/s when it is farthest?
Each of the above three springs are identical (they have the same equilibrium length and spring constant $k$). They are fixed together as shown in the figure. What is the effective spring constant of the assembly?
Four forces, 5 N North, 6 N 20° S of E, 9 N 20°N of W and 10 N South, act on an object. The equilibrium force equals
A smooth inclined plane of length $L$ having inclination $\theta$ with the horizontal inside a lift which is moving down with retardation $\alpha$. The time taken by a body to slide down the inclined plane, from rest, will be: