The maximum load that can safely be supported by a rope in an overhead hoist is 430 N. What is the maximum acceleration that can safely be given to a 24 kg object being hoisted vertically upward?
The maximum load is also the maximum tension in the rope. The net forces on the mass are the upward force of tension and the downward force of the mass’s weight. From Newton’s 2nd law: ∑F = ma = T - mg a = (T - mg) / m = [430N - (24kg)(9.8m/s?)] / 24kg = 8.1m/s? Hope this helps.
