Answer to Question #271257 in Mechanical Engineering for jonathon

Question

A lift cage with mass 500 kg accelerates vertically upwards from rest to a velocity of 6 m s −1 in a distance of 12 m. The frictional resistance to motion is assumed to be constant throughout at 200 N. a) Calculate the work done raising the lift. b) Calculate the tension in the lifting cable. c) Calculate the power developed by the winch. A lorry with mass 3500 kg is parked at the top of a steep hill with a 1– in– 8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.

Answer 1

Diagram with the table is given below for all parts: