Question

A mass of 6 kg is hanging vertically from a rope. Someone pushes up vertically on...

A mass of 6 kg is hanging vertically from a rope. Someone pushes up vertically on the mass with a force of 8 Newtons. If the mass is in equilibrium, what is the tension in the rope in Newtons?

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Answer #1

Given is:-

mass of the rope = 6kg

Applied vertical force F=8 N

Now,

the free body diagram will be as shown below

According to the Newton's second law, at equilibrium  

therefore

or

by plugging all the values we get

which gives us

hence in equilibrium the tension in the rope is 50.8 N

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