The diagram shows a ratchet with a handle length of 6 inches. The socket is .75 inches in diameter. If the 63 lbs of force is applied at the end of the ratchet handle, and the resistance force on the edge of the socket is 405 lbs, what is the efficiency of this wheel and axle.

Acircular aluminum shaft mounted in a journal is shown. the symmetric clearance gap between the shaft and journal is filled with sae 10w-30 oil at t 30°c. the shaft is caused to turn by the attached mass and cord. develop and solve a differential equation for the angular speed of the shaft as a function of time.