What is the effect of increasing the lever arm on torque, assuming force remains constant?

Increases the torque.

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What is the effect of increasing the lever arm on torque, assuming force remains constant?

Increases the torque.

What is the effect of applying a force directly through the axis of rotation?

Produces zero torque.

What is the effect of increasing the angle between the force vector and the position vector on the magnitude of the torque (up to 90 degrees)?

Increases the magnitude of the torque.

Cause: A net torque is applied to an object. Effect?

The object experiences angular acceleration.

Cause: A force is applied perpendicular to a wrench handle. Effect?

The wrench rotates, applying torque to the bolt.

How do you determine the direction of torque using the right-hand rule?

Point your fingers in the direction of $\vec{r}$ . 2. Curl your fingers towards the direction of $\vec{F}$ . 3. Your thumb points in the direction of the torque $\vec{\tau}$ .

What are the steps to calculating torque when the force is at an angle?

Break down the force into components. 2. Identify the perpendicular component to the lever arm. 3. Calculate torque using the perpendicular component and the lever arm length.

How do you calculate the magnitude of torque using the cross product?

Identify the magnitudes of $\vec{r}$ and $\vec{F}$ . 2. Determine the angle $\theta$ between $\vec{r}$ and $\vec{F}$ . 3. Calculate $|overrightarrow{\tau}| = rF \sin \theta$ .

What is the effect of increasing the lever arm on the torque?

Increasing the lever arm increases the torque, assuming the force remains constant.

What happens to the torque when the force is parallel to the position vector?

The torque is zero because $\sin(0°) = 0$ .

What is the effect of applying a force at a 90-degree angle to the lever arm?

It maximizes the torque, as all the force contributes to rotation.

What happens if the net torque on an object is zero?

The object is in rotational equilibrium (it's either not rotating or rotating at a constant angular velocity).

What is the effect of increasing the applied force on the torque?

Increasing the applied force increases the torque, assuming the lever arm and angle remain constant.