Question

You've been called in to investigate a construction accidentin

which the cable broke while a crane was lifting a 5300 kg
container. The steel cable is 2.0 cm indiameter and has a safety
rating of 50,000 N. The crane is designednot to exceed speeds of
3.0 m/s or accelerations of 1.0m/s2, and your tests find
that the crane is notdefective. What is the maximum tension the
cable?

Answer 1

57300 N

Step-by-step explanation:

The container has a mass of 5300 kg, the weight of the container is:

f = m * a

w = m * g

w = 5300 * 9.81 = 52000 N

However this container was moving with more acceleration, so dynamic loads appear.

w' = m * (g + a)

w' = 5300 * (9.81 + 1) = 57300 N

The rating for the cable was 50000 N

The maximum load was exceeded by:

57300 / 50000 - 1 = 14.6%