How do you calculate net torque?

Identify all individual torques acting on the object. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Sum all torques, considering counterclockwise torques as positive and clockwise torques as negative.

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How do you calculate net torque?

Identify all individual torques acting on the object. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Sum all torques, considering counterclockwise torques as positive and clockwise torques as negative.

What are the steps to apply Newton's Second Law for Rotation?

Calculate the net torque acting on the object. 2. Determine the moment of inertia (I) of the object. 3. Use the formula $\sum \vec{\tau} = I \vec{\alpha}$ to find the angular acceleration ( $\vec{\alpha}$ ).

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

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

Describe the steps to determine if a system is in rotational equilibrium.

Identify all torques acting on the system. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Calculate the net torque. 4. If the net torque is zero, the system is in rotational equilibrium.

How to solve problems involving rotational equilibrium?

Draw a free-body diagram. 2. Choose a rotation axis. 3. Calculate the individual torques. 4. Set the sum of torques to zero. 5. Solve for unknowns.

What is the effect of a net torque on an object?

A net torque causes angular acceleration, changing the object's angular velocity.

What is the effect of increasing the distance from the pivot point when applying a force?

Increasing the distance (r) increases the torque (τ = rFsinθ), assuming force and angle remain constant.

What happens when a spinning figure skater pulls their arms inward?

Their moment of inertia decreases, causing their angular velocity to increase to conserve angular momentum.

What is the effect of applying a force perpendicular to a rod at its end?

It creates a torque that causes the rod to rotate around the pivot point, resulting in angular acceleration.

What happens when the sum of all torques acting on a system is zero?

The system is in rotational equilibrium, meaning its angular velocity remains constant.

What happens in the absence of external torques?

Angular momentum is conserved.

What are the key differences between translational and rotational equilibrium?

Translational Equilibrium: Constant linear velocity, zero net force. | Rotational Equilibrium: Constant angular velocity, zero net torque.

Compare Newton's First Law for linear motion and rotational motion.

Linear Motion: An object maintains constant velocity unless acted upon by a net force. | Rotational Motion: An object maintains constant angular velocity unless acted upon by a net torque.

Compare Newton's Second Law for linear motion and rotational motion.

Linear Motion: Net force equals mass times acceleration ( $\vec{F} = m\vec{a}$ ). | Rotational Motion: Net torque equals moment of inertia times angular acceleration ( $\sum \vec{\tau} = I \vec{\alpha}$ ).

Compare force and torque.

Force: A linear push or pull. | Torque: A rotational 'twist' or turning force.

Compare linear and angular acceleration.

Linear Acceleration: The rate of change of linear velocity. | Angular Acceleration: The rate of change of angular velocity.