Which of the following is the rotational analog of velocity?
α
I
ω
τ
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.
.05 rad/s²
1 rad/s²
2 rad/s²
4 rad/s²
5 rad/s²
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?
3 rad/s²
It cannot be determined without knowing the radius
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
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
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)
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)
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)
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
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
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?
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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