Problem $2$: $25$ Points

A seesaw is used in a playground setup, modeled as a stiff, uniform rod of mass $=50\mathrm{.}0$

and length $3\mathrm{.}00.$ At each end of the beam sits two individuals: one with mass $1=70$ and

another with mass $2=120\mathrm{.}0.$ The beam pivots on a frictionless horizontal axle located at

the center of the mass. The seesaw starts from rest in a horizontal orientation and consider it is at

height h$=0\mathrm{.}25$ m above the ground.

A$)$ Determine the net torque on the seesaw when it is released from the horizontal position.

B$)$ Find the angular acceleration of the seesaw when it is released.

C$)$ Determine the moment of inertia of the seesaw and two masses about the pivot point.

D$)$ Calculate the angular velocity of the seesaw when one of the two masses hits the ground.

E$)$ What is the linear velocity of the mass m$1$ when mass m$2$ hits the ground?