Torque and Rotational Inertia

Rotational Equilibrium

a state where an object has a net torque of zero, meaning there is no tendency for it to rotate and it is either at rest or spinning at a constant angular velocity

Translational equilibrium

an object is experiencing no net force acting on it, resulting in either a stationary state or a constant velocity motion

static equilibrium

a state where an object is completely at rest, meaning it has no motion, because all the forces acting on it are perfectly balanced, resulting in a net force of zero

Torque

a twisting force that causes an object to rotate around an axis

what is the basic equation for torque

τ = F r sin(θ)

Where should the fulcrum be placed on a seesaw that has two people with different weights to make it balanced

Closer to the heavier person

what is the general equation to find moment of inertia

I = ∑(m* r^2)

If the mass of the object stays the same and the radius is tripled, how is the moment of ineria affected?

the moment of inertia will increase by a factor of nine

If the radius of an object stays the same and the mass is tripled, how is the moment of inertia affected?

the moment of inertia of the object will also triple