Use the figure for a rigid beam on a frictionless axle at the left end. Take counterclockwise as positive. If $I=1.8\text{kg}\cdot {\text{m}}^2$, what is the angular acceleration?

A force diagram shows two perpendicular forces on a beam pivoted at the left end. With counterclockwise positive and $I=3.0\text{kg}\cdot {\text{m}}^2$, what angular acceleration results?

For the beam in the diagram, upward forces at the shown distances turn it counterclockwise about the axle. If $I=0.80\text{kg}\cdot {\text{m}}^2$, find the angular acceleration.

The beam in the figure can rotate about the left-end axle. Take counterclockwise as positive. If $I=4.0\text{kg}\cdot {\text{m}}^2$, what is its angular acceleration?

A rigid bar is pivoted at its left end, and the diagram gives two perpendicular applied forces. With $I=1.2\text{kg}\cdot {\text{m}}^2$, what is alpha if counterclockwise is positive?

The diagram shows a beam free to rotate about a left-end pivot. If counterclockwise is positive and $I=2.4\text{kg}\cdot {\text{m}}^2$, what angular acceleration is produced?

For the beam shown, the left end is the axis of rotation and clockwise angular acceleration is negative. If $I=5.0\text{kg}\cdot {\text{m}}^2$, what is alpha?

The force diagram shows a short bar with two forces acting perpendicular to it. Taking counterclockwise as positive, what is alpha if $I=0.60\text{kg}\cdot {\text{m}}^2$?

A beam on a frictionless left-end axle has the three forces shown. If $I=1.5\text{kg}\cdot {\text{m}}^2$ and counterclockwise is positive, what angular acceleration occurs?

Use the diagram to calculate the net torque first. Take counterclockwise as positive. The beam's rotational inertia about the left-end axle is $3.2\text{kg}\cdot {\text{m}}^2$. What is alpha?

A net torque of $12\text{N}\cdot \text{m}$ acts on a wheel whose rotational inertia about its axle is $3.0\text{kg}\cdot {\text{m}}^2$. What is the wheel's angular acceleration?

A rigid body has rotational inertia $2.5\text{kg}\cdot {\text{m}}^2$, and the net torque on it is $-7.5\text{N}\cdot \text{m}$. What is its angular acceleration?

A turntable with $I=0.90\text{kg}\cdot {\text{m}}^2$ experiences a net torque of $18\text{N}\cdot \text{m}$. What angular acceleration does it have?

A balanced set of torques gives a wheel a net torque of $0\text{N}\cdot \text{m}$. If the wheel's rotational inertia is $4.4\text{kg}\cdot {\text{m}}^2$, what is its angular acceleration?

A small pulley has rotational inertia $0.30\text{kg}\cdot {\text{m}}^2$. A net torque of $2.4\text{N}\cdot \text{m}$ acts on it. What is its angular acceleration?

A flywheel with $I=4.0\text{kg}\cdot {\text{m}}^2$ has a net torque of $8.0\text{N}\cdot \text{m}$ applied about its central axle. What is its angular acceleration?

A net torque of $20\text{N}\cdot \text{m}$ gives a turntable an angular acceleration of $5.0{\text{rad/s}}^2$. What is the turntable's rotational inertia about its axis?

A disk has angular acceleration $-1.5{\text{rad/s}}^2$ when the net torque is $-9.0\text{N}\cdot \text{m}$. What is its rotational inertia?

A motor must give a rotor with $I=2.2\text{kg}\cdot {\text{m}}^2$ an angular acceleration of $4.0{\text{rad/s}}^2$. What net torque is required?

A wheel with $I=3.5\text{kg}\cdot {\text{m}}^2$ must have an angular acceleration of $-2.0{\text{rad/s}}^2$. What net torque must act on it?

A hoop has mass 4.0 kg and radius 0.50 m. For a hoop about its central axis, $I=M\cdot R^2$. What net torque is needed to produce $\alpha =6.0{\text{rad/s}}^2$?

The same net torque is applied to two turntables, but turntable B has twice the rotational inertia of turntable A. How does B's angular acceleration compare with A's?

A rigid wheel's rotational inertia stays constant while the net torque on it is doubled. What happens to its angular acceleration?

Two wheels have equal mass and equal radius. Wheel A has most of its mass near the rim, while wheel B has most of its mass near the axle. The same net torque acts on both. Which accelerates more?

A 10 N tangential force is applied at a wheel's rim, while a 20 N force is applied through the axle of an identical wheel. Which wheel has the greater angular acceleration?