Rotational Kinematics MC Review

Question 1 of 12

1

Which of the following is the rotational analog of velocity?

Select one of the following:

α
I
ω
τ

Explanation

Question 2 of 12

1

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the angular acceleration of the cylinder between t=0 and t=2.

Select one of the following:

.05 rad/s²
1 rad/s²
2 rad/s²
4 rad/s²
5 rad/s²

Explanation

Question 3 of 12

1

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the angular momentum of the cylinder at t=2?

Select one of the following:

1 rad/s²
2 rad/s²
3 rad/s²
4 rad/s²
It cannot be determined without knowing the radius

Explanation

Question 4 of 12

1

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the kinetic energy1 of the cylinder at t=2?

Select one of the following:

1J
2J
3J
4J
It cannot be determined without knowing the radius of the cylindar

Explanation

Question 5 of 12

1

The mass of Planet X is one-tenth that of the Earth, and its diameter is one-half that of the Earth. The acceleration due to gravity at the surface of Planet X is most nearly...

Select one of the following:

2 m/s²
4 m/s²
5 m/s²
7 m/s²
10 m/s²

Explanation

Question 6 of 12

1

A satellite of mass m and speed v moves in a stable, circular orbit around a planet of mass M. What is the radius of the satellie's orbit?

Select one of the following:

(GM) / (mv)
(Gv) / (Mm)
(GM) / (v²)
(GmM) / (v)
(GmM) / (v²)

Explanation

Question 7 of 12

1

A particle of mass m moves with a constant speed v along the dashed line y=a. When the x-cordinate of the particle is x₀, the magnitude of the angular momentum of the particle with respect to the orgin of the system is...

Select one of the following:

0
mva
mvx₀
mv √(x² + a²)
mva / √(x² + a²)

Explanation

Question 8 of 12

1

A satellite S is in an elliptical orbit around a planet P, as shown above, with r₁ being the closest distance and r₂ the furthest distance from the center of the planet. If the satellite has a speed v₁ at its closest distance, what speed does it have at its farthest distance?

Select one of the following:

(r₁ v₁) / (r₂)
(r₂ v₁) / (r₁)
(v₂-m₂) v₁
((r₁+r₂) v₁) / 2
((r₁-r₂) v₁) / (r₁-r₂)

Explanation

Question 9 of 12

1

A uniform stick has length L. The moment of inertia about the center of the stick is I₀. A particle of mass M is attached to one end of the stick. The moment of inertia of the combined system about the center of the stick is....

Select one of the following:

I₀ + (1/4) ML²
I₀ + (1/2) ML²
I₀ + (1/3) ML²
I₀ + ML²
I₀ + (5/4) ML²

Explanation

Question 10 of 12

1

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the rotational inertia of the 3M₀ mass around the pivot point?

Select one of the following:

3M₀ℓ²
9M₀ℓ²
2M₀ℓ²
4M₀ℓ²
7M₀ℓ²

Explanation

Question 11 of 12

1

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the rotational inertia of the system around the pivot point?

Select one of the following:

3M₀ℓ²
9M₀ℓ²
2M₀ℓ²
4M₀ℓ²
7M₀ℓ²

Explanation

Question 12 of 12

1

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the magnitude of the torque of the system around the pivot point?

Select one of the following:

gM₀ℓ
2gM₀ℓ
3gM₀ℓ
5gM₀ℓ
7gM₀ℓ

	Created by Kate S over 6 years ago

12th grade Physics Quiz on Rotational Kinematics MC Review, created by Kate S on 16/10/2017.

Rotational Kinematics MC Review

Question 1 of 12

Which of the following is the rotational analog of velocity?

Select one of the following:

Explanation

Question 2 of 12

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s. What is the angular acceleration of the cylinder between t=0 and t=2.

Select one of the following:

Explanation

Question 3 of 12

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s. What is the angular momentum of the cylinder at t=2?

Select one of the following:

Explanation

Question 4 of 12

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s. What is the kinetic energy1 of the cylinder at t=2?

Select one of the following:

Explanation

Question 5 of 12

The mass of Planet X is one-tenth that of the Earth, and its diameter is one-half that of the Earth. The acceleration due to gravity at the surface of Planet X is most nearly...

Select one of the following:

Explanation

Question 6 of 12

A satellite of mass m and speed v moves in a stable, circular orbit around a planet of mass M. What is the radius of the satellie's orbit?

Select one of the following:

Explanation

Question 7 of 12

A particle of mass m moves with a constant speed v along the dashed line y=a. When the x-cordinate of the particle is x₀, the magnitude of the angular momentum of the particle with respect to the orgin of the system is...

Select one of the following:

Explanation

Question 8 of 12

A satellite S is in an elliptical orbit around a planet P, as shown above, with r₁ being the closest distance and r₂ the furthest distance from the center of the planet. If the satellite has a speed v₁ at its closest distance, what speed does it have at its farthest distance?

Select one of the following:

Explanation

Question 9 of 12

A uniform stick has length L. The moment of inertia about the center of the stick is I₀. A particle of mass M is attached to one end of the stick. The moment of inertia of the combined system about the center of the stick is....

Select one of the following:

Explanation

Question 10 of 12

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the rotational inertia of the 3M₀ mass around the pivot point?

Select one of the following:

Explanation

Question 11 of 12

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the rotational inertia of the system around the pivot point?

Select one of the following:

Explanation

Question 12 of 12

A light rod with masses attached to its ends is pivoted around a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate. What it the magnitude of the torque of the system around the pivot point?

Select one of the following:

Explanation

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the angular acceleration of the cylinder between t=0 and t=2.

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the angular momentum of the cylinder at t=2?

A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder's moment of inertia about the axis is 4 kg m². At time t=0, the cylinder is at rest. At time t=2 its angular velocity is 1 rad/s.
What is the kinetic energy1 of the cylinder at t=2?