Aspire NEET 2020: Rotational Motion Class 1 (Fixed Axis Rotation) for NEET & AIIMS Exams

Question 1

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Question 2

The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc is :

Question 3

The moment of inertia of a circular loop of radius R, at a distance of R/2 around a rotating axis parallel to horizontal diameter of loop is

Question 4

A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 rad- s^-2 is produced in it due to the torque. Then, moment of inertia of the wheel is (g = 10 ms^-2)

Question 5

Two-point masses of mass m₁ = fM and m₂ = (1 - f)M(f < 1) are in outer space (far from gravitational influence of other objects) at a distance R from each other. They move in circular orbits about their centre of mass with angular velocities ω₁ for m₁ and ω₂ for m₂. In that case

Question 6

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

Question 7

Two balls are thrown simultaneously in air. The acceleration of the centre of mass of the two balls when in air,

Question 8

A rigid body of mass m rotates about an axis passing through its centre. If the anular velocity of the body is unity, the moment of inertia of the body will be equal to

Question 9

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively I_A and I_B such that Where d_A and d_B are their densities.

Question 10

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is