#1
What is the formula for angular momentum?
L = Iω
ExplanationAngular momentum equals moment of inertia times angular velocity.
#2
Which of the following statements about torque is true?
Torque is the product of force and lever arm.
ExplanationTorque is the rotational equivalent of force.
#3
Which of the following factors affect the period of a simple pendulum?
Length of the pendulum
ExplanationPeriod of a pendulum is directly proportional to its length.
#4
What happens to the angular momentum of a system if no external torques act on it?
The angular momentum remains constant.
ExplanationConservation of angular momentum applies.
#5
Which of the following statements about rotational motion is true?
Rotational motion involves motion around an axis.
ExplanationObjects rotate around a fixed axis.
#6
What is the SI unit of angular momentum?
kg m^2/s
ExplanationAngular momentum is measured in kilogram meter squared per second.
#7
Which of the following is true about rotational inertia?
It depends on both mass and shape.
ExplanationRotational inertia varies with mass distribution and shape.
#8
A solid disk and a ring, both having the same mass and radius, start from rest and roll down a hill without slipping. Which reaches the bottom first?
The ring
ExplanationThe ring has less rotational inertia, so it accelerates faster.
#9
Which of the following statements about conservation of angular momentum is correct?
Angular momentum is always conserved in isolated systems.
ExplanationAngular momentum remains constant if no external torques act.
#10
What happens to the angular velocity of a rotating object if its moment of inertia decreases?
Angular velocity increases.
ExplanationAngular velocity is inversely proportional to moment of inertia.
#11
If an object's net torque is zero, which of the following statements is true?
The object may be rotating at a constant angular velocity.
ExplanationZero net torque implies no change in angular velocity.
#12
Which of the following quantities is a vector in rotational dynamics?
Angular momentum
ExplanationAngular momentum has both magnitude and direction.
#13
A solid sphere and a hollow sphere, both having the same mass and radius, start from rest and roll down an incline without slipping. Which has a greater linear acceleration?
The solid sphere
ExplanationSolid sphere has more mass near its center, leading to higher acceleration.
#14
What is the rotational equivalent of Newton's second law?
Στ = Iα
ExplanationSum of torques equals moment of inertia times angular acceleration.
#15
In which scenario would a rotating object experience the least rotational inertia?
A thin ring rotating about its axis
ExplanationConcentration of mass near axis reduces rotational inertia.