# Circular and Rotational Motions - MCQ Test Series solved questions for NEET-UG, IIT JEE, COMEDK, MBBS and BDS admission tests, Engineering Entrance Exams

### Physics: Circular Motion, Rotational Motion

Physics MCQ Test Series solved questions for NEET-ug, IIT JEE, COMEDK, MBBS and BDS admission tests, Engineering Entrance Exams and other such competitive exams.
Syllabus for NEET and IIT JEE:
Kinematics of Circular Motion; Dynamics of Uniform Circular Motion; Centripetal Force; Examples: vehicle on level circular road, vehicle on baked track; Angular Velocity and is relation with Linear Velocity; Torque or Moment of Force and Angular Momentum; Laws of Conservation of Angular Momentum; Theorems of perpendicular axes and parallel axes; Kinematics of Rotational Motion about a fixed axis; Rolling Motion; General relation among Position-Velocity-Acceleration for Motion in a plane and Uniform Circular Motion; Centrifugal Force; Motion in a vertical circle; Rotational Motion of a rigid body; Moment of Inertia; Angular Impulse.

Solved MCQ Test Series – Set 3 (Q. No. 21-30)
Question 21: The angular speed of a fly wheel making 120 rev/min is:

Question 22: A child is swinging a swing, minimum and maximum heights of swing from earth’s surface are 0.75 m and 2 m respectively. The maximum velocity of this swing is –
a. 5 m/s
b. 10 m/s
c. 15 m/s
d. 20 m/s

Question 23: An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. The angular speed of the aeroplane will be:

Question 24: A block of mass m slides down along the surface of the bowl from the rim to the bottom as shown in fig. The velocity of the block at the bottom will be –

Question 25: When a body moves with a constant speed along a circle:
a. Its velocity remains constant
b. No force acts on it
c. No work is done on it
d. No acceleration is produced on it

Question 26: A 1 kg ball is rotated in a vertical circle by using a string of length 0.1 m. If the tension in the string at the lowest point is 29.4 N, its angular velocity at that position is –

Question 27: A cyclist moves in a circular track of radius 100 m. If the coefficient of friction is 0.2. Then the maximum speed with which the cyclist take a turn without leaning inwards is:
a. 14.0 m/s
b. 140 m/s
c. 1.4 m/s
d. 9.8 m/s

Question 28: If all objects on the equator of earth feel weightless then the duration of the day will nearly become –
a. 6.2 hr
b. 4.4 hr
c. 2.2 hr
d. 1.41 hr

Question 29: Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same time t. The ratio of the angular speeds of the first to the second car is:
a. 1: 1
b. m1: m2
c. r1: r2
d. m1m2: r1r2

Question 30: A 2 kg stone is swung in a vertical circle by attaching it at the end of a string of length 2m. If the string can withstand a tension 140.6 N, the maximum speed with which the stone can be rotated is –
a. 22 ms-1
b. 44 ms-1
c. 33 ms-1
d. 11 ms-1