# Rotational Kinematics MC Review

Quiz by Kate S, updated more than 1 year ago
 Created by Kate S over 3 years ago
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### Description

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

## Resource summary

### Question 1

Question
Which of the following is the rotational analog of velocity?
• α
• I
• ω
• τ

### Question 2

Question
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.

### Question 3

Question
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?
• It cannot be determined without knowing the radius

### Question 4

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

### Question 5

Question
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...
• 2 m/s²
• 4 m/s²
• 5 m/s²
• 7 m/s²
• 10 m/s²

### Question 6

Question
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?
• (GM) / (mv)
• (Gv) / (Mm)
• (GM) / (v²)
• (GmM) / (v)
• (GmM) / (v²)

### Question 7

Question
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...
• 0
• mva
• mvx₀
• mv √(x² + a²)
• mva / √(x² + a²)

### Question 8

Question
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?
• (r₁ v₁) / (r₂)
• (r₂ v₁) / (r₁)
• (v₂-m₂) v₁
• ((r₁+r₂) v₁) / 2
• ((r₁-r₂) v₁) / (r₁-r₂)

### Question 9

Question
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....
• I₀ + (1/4) ML²
• I₀ + (1/2) ML²
• I₀ + (1/3) ML²
• I₀ + ML²
• I₀ + (5/4) ML²

### Question 10

Question
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?
• 3M₀ℓ²
• 9M₀ℓ²
• 2M₀ℓ²
• 4M₀ℓ²
• 7M₀ℓ²

### Question 11

Question
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?
• 3M₀ℓ²
• 9M₀ℓ²
• 2M₀ℓ²
• 4M₀ℓ²
• 7M₀ℓ²

### Question 12

Question
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?
• gM₀ℓ
• 2gM₀ℓ
• 3gM₀ℓ
• 5gM₀ℓ
• 7gM₀ℓ

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