What Are the Tensions in the Cables When a Crane Lifts a Load?

[iluvschool699]

A crane is used to hoist a load of mass m1=500 kilograms. The Load is suspended by a cable from a hook of mass m2=50 kilograms, as shown in the diagram above. The load is lifted upward at a constant acceleration of 2 m/s^2.

a) On the diagrams below draw and label the forces acting on the hook and the forces on the load as they accelerate upward.


b)Determine the Tension T1 in the lower cable and the tension T2 in the upper cable as the hook and load are accelerated upward at 2 m/s^2. Use g=10 m/s^2.

 

[member 553083]

T1 = m1 * g + (m1 + m2) * a = 500 * 10 + (500 + 50) * 2 = 10500 NT2 = m2 * g + (m1 + m2) * a = 50 * 10 + (500 + 50) * 2 = 1050 N