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Anna [14]
4 years ago
14

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 = 5

5° with the ceiling. What is M?

Physics
1 answer:
FromTheMoon [43]4 years ago
4 0

Answer:

5.3 kg

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.

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