Torque and Angular Momentum MCQs with Answer

The torque acting on an object is the product of:
a) Force and the distance from the center of mass
b) Force and the radius of the object
c) Force and the perpendicular distance from the axis of rotation
d) Mass and acceleration

The unit of torque in the SI system is:
a) Newton
b) Joule
c) Newton-meter
d) Kilogram

Torque is a vector quantity that is directed:
a) In the direction of the applied force
b) In the direction of the rotational axis
c) Perpendicular to the plane formed by the force and radius
d) Toward the center of mass

If a force of 10 N is applied at a distance of 2 meters from the axis of rotation, the torque is:
a) 5 N·m
b) 10 N·m
c) 20 N·m
d) 100 N·m

The angular momentum of an object depends on:
a) The object’s velocity and mass
b) The object’s mass and its rotational velocity
c) The radius of rotation and the angular velocity
d) The object’s linear velocity and its radius of rotation

The formula for angular momentum (L) of a point mass is:
a)
𝐿
=
𝑚
𝑣
𝑟
L=mvr
b)
𝐿
=
1
2
𝑚
𝑣
2
L=
2
1
​
mv
2

c)
𝐿
=
𝑚
𝑣
𝑟
2
L=mvr
2

d)
𝐿
=
𝑚
𝑣
𝑟
sin
⁡
𝜃
L=mvrsinθ

Angular momentum is conserved in a system when:
a) No external torque acts on the system
b) The system is in equilibrium
c) The system has no external forces acting on it
d) The system is free to move in any direction

In the case of a rotating rigid body, angular momentum is given by:
a)
𝐿
=
𝐼
𝜔
L=Iω
b)
𝐿
=
𝑚
𝑟
𝑣
L=mrv
c)
𝐿
=
𝐼
𝛼
L=Iα
d)
𝐿
=
1
2
𝑚
𝑣
2
L=
2
1
​
mv
2

The moment of inertia (I) of an object is a measure of its:
a) Resistance to rotational motion
b) Rotational speed
c) Mass
d) Force applied to it

The angular velocity (
𝜔
ω) of an object is:
a) The rate at which it moves linearly
b) The rate at which the object rotates about its axis
c) The time it takes for the object to complete one full rotation
d) The speed at which force is applied to the object

The angular velocity is measured in:
a) Radians per second
b) Meters per second
c) Newtons per meter
d) Kilograms per meter

Torque is equal to the rate of change of:
a) Force
b) Angular velocity
c) Angular momentum
d) Moment of inertia

When a person spins on a rotating chair and pulls in their arms, their angular velocity:
a) Decreases
b) Increases
c) Remains constant
d) Becomes zero

If the torque acting on an object is zero, the object:
a) Is at rest
b) Has no angular momentum
c) Will rotate with constant angular velocity
d) Will rotate with increasing speed

The moment of inertia of a solid sphere about an axis passing through its center is:
a)
2
5
𝑚
𝑟
2
5
2
​
mr
2

b)
1
2
𝑚
𝑟
2
2
1
​
mr
2

c)
𝑚
𝑟
2
mr
2

d)
1
3
𝑚
𝑟
2
3
1
​
mr
2

Angular momentum is a conserved quantity in:
a) Elastic collisions
b) Inelastic collisions
c) Any type of collision
d) Systems with no external torque

In a system where no external torque is applied, the angular momentum of the system will:
a) Increase with time
b) Decrease with time
c) Remain constant
d) Be zero

The work done by a torque is equal to:
a) The product of torque and angular displacement
b) The product of angular velocity and moment of inertia
c) The change in angular velocity
d) The change in angular momentum

The torque required to maintain a constant angular velocity is:
a) Zero
b) Equal to the object’s moment of inertia
c) Directly proportional to the force
d) Equal to the work done

The rotational kinetic energy of an object is given by:
a)
1
2
𝑚
𝑣
2
2
1
​
mv
2

b)
1
2
𝐼
𝜔
2
2
1
​
Iω
2

c)
1
2
𝐹
𝑥
2
1
​
Fx
d)
𝐼
𝜔
Iω

If the moment of inertia of a rotating object increases, the angular velocity will:
a) Increase
b) Decrease
c) Stay constant
d) Become zero

The angular momentum of a rotating object is zero when:
a) The object is at rest
b) The object has no mass
c) The object has infinite mass
d) The object is moving linearly

The unit of angular momentum is:
a) Newton
b) Joule
c) kg·m²/s
d) kg·m/s

The relationship between torque and angular acceleration is given by:
a)
𝜏
=
𝐼
𝛼
τ=Iα
b)
𝜏
=
𝐼
𝜔
τ=Iω
c)
𝜏
=
𝑚
𝑎
τ=ma
d)
𝜏
=
𝑟
𝑣
τ=rv

The moment of inertia of a thin rod about an axis perpendicular to its length through its center is:
a)
1
12
𝑚
𝐿
2
12
1
​
mL
2

b)
1
2
𝑚
𝐿
2
2
1
​
mL
2

c)
𝑚
𝐿
2
mL
2

d)
1
3
𝑚
𝐿
2
3
1
​
mL
2

The force required to produce a torque on an object is:
a) Directly proportional to its angular momentum
b) Inversely proportional to the object’s moment of inertia
c) Inversely proportional to the distance from the center of rotation
d) Proportional to the perpendicular distance and force applied

When no external torque acts on a system, the system’s angular momentum is:
a) Conserved
b) Zero
c) Variable
d) Constant in magnitude only

The torque required to rotate an object is inversely proportional to:
a) The radius of the object
b) The moment of inertia
c) The force applied
d) The angular velocity

The rotational inertia of an object depends on:
a) The shape and mass distribution of the object
b) The mass of the object only
c) The speed of rotation
d) The direction of rotation