Question

A block of mass M hangs in equilibrium. The rope which is fastened to the ceiling has a tension of 64 N and makes an angle Θ = 55° with the ceiling. What is M?

Answer 1

5.3 kg

Step-by-step explanation:

The rope attached to the ceiling has a tension 64 N.

The rope attached to the wall has a tension T.

The rope attached to the block has a tension Mg.

Sum of the forces at the junction in the y direction:

64 sin 55° − Mg = 0

Mg = 64 sin 55°

M = 64 sin 55° / g

M = 64 sin 55° / 9.8

M = 5.3

The mass of the block is 5.3 kg.