[3 points] Question: Consider a pendulum made from a uniform, solid rod of mass M and length L attached to a hoop of mass M and radius R. Find the moment of inertia I of the pendulum about the pivot depicted at the left end of the solid rod.

I=

Explanation:

We are given that

Mass of rod=M

Length of rod=L

Mass of hoop=M

Radius of hoop=R

We have to find the moment of inertia I of the pendulum about pivot depicted at the left end of the slid rod.

Moment of inertia of rod about center of mass=

Moment of inertia of hoop about center of mass=

Moment of inertia of the pendulum about the pivot left end,I=

Moment of inertia of the pendulum about the pivot left end,I=

Moment of inertia of the pendulum about the pivot left end,I=

Moment of inertia  of the pendulum about the pivot left end,I=

Moment of inertia of the pendulum about the pivot left end,I=

the force on the thing and the distance the force moves the thing