Need help with physics Q – on the forces in a mechanism:?

Question

A hammer action (in a horizontal plane) acts as a propulsion force to a turntable.

The hammer weighing 1Kg depresses a push rod through 1 cms in 0.144 secs, which in turn is attached to a gear “A”. Gear A has a 1” radius and the push rod is attached to gear A at a radius of 0.9”. Gear A is mounted on the same shaft as gear “B” which has a 0.5” radius that in turn engages another gear “C”, which has a 3.5” radius attached to a turntable. (Assume a frictionless environment.)

Questions:
How much work does the hammer do per impulse?
What force is exerted on the push rod?
What force is exerted on gear C?

Many thanks

Answer 1

Assuming a frictionless environment, if the hammer weighing 1Kg depresses a push rod through 1 cms in 0.144 secs, which in turn is attached to a gear “A”. Gear A has a 1” radius and the push rod is attached to gear A at a radius of 0.9”. Gear A is mounted on the same shaft as gear “B” which has a 0.5” radius that in turn engages another gear “C”, which has a 3.5” radius attached to a turntable.

Answer 2

Consider linear and rotational momentums
also
Force and torque equation as a system.

I'll look at it tomorrow.