Find mass of a rope pulled by a force

Jahnavi · May 23, 2018

Homework Statement

Diagram of a rope fixed to a vertical wall at its left end, hanging in a curve, with the lower end pulled horizontally to the right by a 20N force. A dashed line from the wall marks a 30 degree angle with the vertical; answer options 2 kg, 3 kg, 3.5 kg and 4.5 kg are listed below.

Homework Equations

The Attempt at a Solution

The force F exerted by the wall on the left end of the rope will make an angle 30° with the vertical . If we do the force balance ,

F sin30° = 20
Fcos30° = Mg

This gives M = 2√3 Kg . This gives 3.5 Kg . But answer given is option 4) . What is the mistake ?

Edit : There is a mistake in the answer key . Correct option is 3) .

Gene Naden · May 23, 2018

Your force balance is correct, as is your final result.

Find mass of a rope pulled by a force

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

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