The maximum allowable tension in the crane cable is 35 kN. It is used to lift a crate of weight G = 25 kN. If we want to accelerate the crate uniformly from rest to reach a velocity of 0.6 m/s in 0.25 s, is the lifting safe?

crane pulling up a crate

Answer:To determine if the lifting operation is safe, we need to analyze the forces acting on the crate during the acceleration process. Given: - Maximum allowable tension in the crane cable (T_max) = 35 kN- Weight of the crate (G) = 25 kN- Target velocity (v) = 0.6 m/s- Time taken to reach target velocity (t) = 0.25 s               The force required to accelerate the crate is 6 kN. Since this force is less than the maximum allowable tension (35 kN), the lifting operation is safe. The tension in the crane cable will not exceed the maximum limit during the acceleration process.

Answered by sarahreganon81 | 2024-09-06