Question 1
Question
Which of the following is the rotational analog of velocity?
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.
Answer
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.05 rad/s²
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1 rad/s²
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2 rad/s²
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4 rad/s²
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5 rad/s²
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?
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?
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...
Answer
-
2 m/s²
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4 m/s²
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5 m/s²
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7 m/s²
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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?
Answer
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(GM) / (mv)
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(Gv) / (Mm)
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(GM) / (v²)
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(GmM) / (v)
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(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...
Answer
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0
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mva
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mvx₀
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mv √(x² + a²)
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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?
Answer
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(r₁ v₁) / (r₂)
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(r₂ v₁) / (r₁)
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(v₂-m₂) v₁
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((r₁+r₂) v₁) / 2
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((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....
Answer
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I₀ + (1/4) ML²
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I₀ + (1/2) ML²
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I₀ + (1/3) ML²
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I₀ + ML²
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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?
Answer
-
3M₀ℓ²
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9M₀ℓ²
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2M₀ℓ²
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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?
Answer
-
3M₀ℓ²
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9M₀ℓ²
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2M₀ℓ²
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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?
Answer
-
gM₀ℓ
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2gM₀ℓ
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3gM₀ℓ
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5gM₀ℓ
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7gM₀ℓ