What is the effect of applying a torque to an object?
The object experiences angular acceleration.
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What is the effect of applying a torque to an object?
The object experiences angular acceleration.
What is the effect of increasing the distance from the axis of rotation when applying a force?
It increases the magnitude of the torque.
What happens when the net torque on an object is zero?
The object is in rotational equilibrium, meaning it has no angular acceleration.
What is the effect of shifting the axis of rotation away from the center of mass?
It increases the moment of inertia, as described by the parallel axis theorem.
What are the steps to calculate torque?
1: Identify the force vector ($\vec{F}$) and the position vector ($\vec{r}$). 2: Determine the angle ($\theta$) between $\vec{r}$ and $\vec{F}$. 3: Calculate the magnitude of the torque using $\tau = rF\sin(\theta)$. 4: Use the right-hand rule to find the direction of the torque.
What are the steps to use the Parallel Axis Theorem?
1: Identify the object and the new axis of rotation. 2: Find the moment of inertia about the center of mass ($I_{cm}$). 3: Determine the distance ($h$) between the two axes. 4: Plug the values into the formula $I = I_{cm} + Mh^2$ and solve for $I$.
What are the steps to solve equilibrium problems?
1: Draw a free-body diagram, including all forces and their points of application. 2: Choose a convenient pivot point. 3: Apply the first condition of equilibrium: $\sum \vec{F} = 0$. 4: Apply the second condition of equilibrium: $\sum \vec{\tau} = 0$. 5: Solve the resulting equations for the unknowns.
What are the differences between translational and rotational equilibrium?
Translational Equilibrium: Net force is zero, no linear acceleration. | Rotational Equilibrium: Net torque is zero, no angular acceleration.
What are the differences between force and torque?
Force: Linear push or pull, causes linear acceleration. | Torque: Rotational force, causes angular acceleration.
What are the differences between mass and moment of inertia?
Mass: Resistance to linear acceleration, scalar quantity. | Moment of Inertia: Resistance to angular acceleration, depends on mass distribution, scalar quantity.