Q1) Which of the following quantities is a vector quantity?
a) Angular displacement
b) Angular velocity
c) Angular acceleration
d) Moment of inertia
Answer: b) Angular velocity
Q2) The rotational analog of force is:
a) Torque
b) Moment of inertia
c) Angular displacement
d) Angular velocity
Answer: a) Torque
Q3) Which of the following is true about angular velocity?
a) It is a scalar quantity.
b) It is measured in radians per second.
c) It depends on the radius of rotation.
d) It is independent of the axis of rotation.
Answer: b) It is measured in radians per second.
Q4) The rate of change of angular velocity with respect to time is called:
a) Angular acceleration
b) Angular velocity
c) Moment of inertia
d) Torque
Answer: a) Angular acceleration
Q5) Which of the following is the correct formula for torque (τ)?
a) τ = F/m
b) τ = mv
c) τ = rFsin(θ)
d) τ = Iα
Answer: c) τ = rFsin(θ)
Q6) The point where the entire mass of an object can be assumed to be concentrated for rotational motion calculations is called:
a) Center of gravity
b) Center of mass
c) Axis of rotation
d) Moment arm
Answer: b) Center of mass
Q7) The rotational analog of mass in translational motion is:
a) Torque
b) Moment of inertia
c) Angular velocity
d) Angular momentum
Answer: b) Moment of inertia
Q8) When a force is applied perpendicular to the moment arm, the torque is:
a) Maximum
b) Minimum
c) Zero
d) Indeterminate
Answer: a) Maximum
Q9) If a system is in rotational equilibrium, which of the following statements is true?
a) The net torque acting on the system is zero.
b) The net force acting on the system is zero.
c) The system is not moving.
d) Both a) and b)
Answer: d) Both a) and b)
Q10) Which of the following quantities is conserved in the absence of external torque?
a) Angular velocity
b) Angular acceleration
c) Angular momentum
d) Torque
Answer: c) Angular momentum
Q11) A disc and a ring, both of the same mass and radius, are rolling down an incline without slipping. Which one reaches the bottom first?
a) The disc
b) The ring
c) Both reach simultaneously
d) It depends on other factors
Answer: c) Both reach simultaneously
Q12) The moment of inertia of a solid sphere about its diameter is:
a) (2/5)MR²
b) (1/2)MR²
c) (3/5)MR²
d) (2/3)MR²
Answer: b) (1/2)MR²
Q13) The rotational kinetic energy of an object is given by the formula:
a) KE = (1/2)Iω
b) KE = (1/2)mv²
c) KE = (1/2)I²ω²
d) KE = (1/2)mv² + (1/2)Iω²
Answer: a) KE = (1/2)Iω²
Q14) The unit of moment of inertia is:
a) kg m/s
b) kg m²/s
c) kg m²
d) kg m²/s²
Answer: c) kg m²
Q15) Which of the following statements is true for an object in rotational equilibrium?
a) It must be rotating at a constant angular velocity.
b) The net torque acting on it is zero.
c) Its angular velocity is increasing.
d) Its angular acceleration is zero.
Answer: b) The net torque acting on it is zero.
Q16) A force is applied tangentially to a rotating object. What effect does this force have on the object's angular velocity?
a) It increases the angular velocity.
b) It decreases the angular velocity.
c) It changes the direction of the angular velocity.
d) It has no effect on the angular velocity.
Answer: a) It increases the angular velocity.
Q17) Which of the following factors does NOT affect the rotational inertia of an object?
a) Mass
b) Radius of gyration
c) Shape
d) Angular velocity
Answer: d) Angular velocity
Q18) When a rigid object is rotating about a fixed axis, every particle of the object:
a) Moves with the same linear velocity.
b) Moves with the same angular velocity.
c) Moves with the same linear acceleration.
d) Moves with the same angular acceleration.
Answer: b) Moves with the same angular velocity.
Q19) If the net torque acting on an object is zero, its angular momentum:
a) Remains constant.
b) Increases continuously.
c) Decreases continuously.
d) Becomes zero.
Answer: a) Remains constant.
Q20) Which of the following statements is NOT true about rotational motion?
a) An object can rotate without translating.
b) The linear velocity of all particles in a rotating object is the same.
c) Rotational motion is always accompanied by translational motion.
d) The moment of inertia depends only on the mass of the object.
Answer: d) The moment of inertia depends only on the mass of the object.