3. The input function f(t) in question 1 now has an "on" and "off" switch. The input function is turned "on" at t=2s. Hint: You would be using the Step function/Heaviside function. a. Write the resultant differential equation of the system. b. Determine the response to the force input.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?