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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 $\vec{\tau}$ .

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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 torque?

The rotational equivalent of force; what causes objects to spin.

Define lever arm.

The perpendicular distance from the axis of rotation to the point where the force is applied.

What is the position vector ( $\vec{r}$ ) in the context of torque?

A vector pointing from the axis of rotation to the point where the force is applied.

Define the cross product in relation to torque.

The mathematical operation used to calculate torque, given by $\vec{\tau} = \vec{r} \times \vec{F}$ .

What is the right-hand rule used for in the context of torque?

A method to determine the direction of the torque vector, which is perpendicular to both the position vector and the force vector.

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.

All Flashcards

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 torque?

The rotational equivalent of force; what causes objects to spin.

Define lever arm.

The perpendicular distance from the axis of rotation to the point where the force is applied.

What is the position vector ( $\vec{r}$ ) in the context of torque?

A vector pointing from the axis of rotation to the point where the force is applied.

Define the cross product in relation to torque.

The mathematical operation used to calculate torque, given by $\vec{\tau} = \vec{r} \times \vec{F}$ .

What is the right-hand rule used for in the context of torque?

A method to determine the direction of the torque vector, which is perpendicular to both the position vector and the force vector.

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.