Label the forces acting on the block in the diagram.

1: Tension (T) upwards, 2: Weight (mg) downwards

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Label the forces acting on the block in the diagram.

1: Tension (T) upwards, 2: Weight (mg) downwards

Label the forces acting on the disk in the diagram.

1: Tension (T) tangential, 2: Weight (Mg) downwards, 3: Normal force (N) upwards

In the diagram of a hollow vs. solid cylinder rolling down an incline, which has greater rotational inertia?

The hollow cylinder has a greater rotational inertia.

Define torque.

The rotational equivalent of force; what causes an object to start rotating or change its rotation.

Define rotational inertia.

A measure of how much an object resists changes in its rotational motion.

What is angular acceleration?

The rate of change of angular velocity.

Define Newton's Second Law for Rotation.

The net torque on an object is equal to the product of its rotational inertia and angular acceleration: $\sum \tau = I \alpha$ .

What is tangential speed?

The linear speed of a point on a rotating object, related to angular speed by $v = r\omega$ .

What is tangential acceleration?

The linear acceleration of a point on a rotating object, related to angular acceleration by $a = r\alpha$ .

Define torque.

Torque ( $au$ ) is a twisting force that causes rotation. It is the product of the force and the lever arm (the distance from the axis of rotation to the point where the force is applied).

Define rotational inertia.

Rotational inertia (I) is a measure of an object's resistance to changes in its rotational motion. It depends on the object's mass and how that mass is distributed relative to the axis of rotation.

Define angular acceleration.

Angular acceleration ( $alpha$ ) is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s²).

What is net torque?

Net torque ( $Sigma au$ ) is the sum of all torques acting on an object. It determines the angular acceleration of the object.

Define lever arm.

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. It is a critical component in calculating torque.

All Flashcards

Label the forces acting on the block in the diagram.

1: Tension (T) upwards, 2: Weight (mg) downwards

Label the forces acting on the disk in the diagram.

1: Tension (T) tangential, 2: Weight (Mg) downwards, 3: Normal force (N) upwards

In the diagram of a hollow vs. solid cylinder rolling down an incline, which has greater rotational inertia?

The hollow cylinder has a greater rotational inertia.

Define torque.

The rotational equivalent of force; what causes an object to start rotating or change its rotation.

Define rotational inertia.

A measure of how much an object resists changes in its rotational motion.

What is angular acceleration?

The rate of change of angular velocity.

Define Newton's Second Law for Rotation.

The net torque on an object is equal to the product of its rotational inertia and angular acceleration: $\sum \tau = I \alpha$ .

What is tangential speed?

The linear speed of a point on a rotating object, related to angular speed by $v = r\omega$ .

What is tangential acceleration?

The linear acceleration of a point on a rotating object, related to angular acceleration by $a = r\alpha$ .

Define torque.

Torque ( $au$ ) is a twisting force that causes rotation. It is the product of the force and the lever arm (the distance from the axis of rotation to the point where the force is applied).

Define rotational inertia.

Rotational inertia (I) is a measure of an object's resistance to changes in its rotational motion. It depends on the object's mass and how that mass is distributed relative to the axis of rotation.

Define angular acceleration.

Angular acceleration ( $alpha$ ) is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s²).

What is net torque?

Net torque ( $Sigma au$ ) is the sum of all torques acting on an object. It determines the angular acceleration of the object.

Define lever arm.

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. It is a critical component in calculating torque.