Find mass of a rope pulled by a force

In summary, the mass of a rope pulled by a force is calculated by dividing the force applied by the acceleration due to gravity. The mass of a rope remains constant regardless of the force applied to it and is typically measured in kilograms or grams. The length of a rope does not affect its mass when pulled by a force, but can affect the tension and force required. There is no maximum mass that a rope can have when pulled by a force, as long as the force applied is within the breaking strength of the rope.
  • #1
Jahnavi
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Homework Statement


rope.jpg


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) .
 

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  • #2
Your force balance is correct, as is your final result.
 

1) How is the mass of a rope pulled by a force calculated?

The mass of a rope pulled by a force is calculated by dividing the force applied by the acceleration due to gravity (9.8 m/s²). This equation is derived from Newton's second law of motion, which states that force equals mass times acceleration.

2) Can the mass of a rope change when it is pulled by a force?

The mass of a rope remains constant regardless of the force applied to it. This is because mass is an intrinsic property of an object and does not change unless the object is physically altered.

3) What units are used to measure the mass of a rope?

The mass of a rope is typically measured in kilograms (kg) or grams (g). These are units of mass commonly used in the metric system.

4) How does the length of a rope affect its mass when pulled by a force?

The length of a rope does not affect its mass when pulled by a force. Mass is independent of an object's size or shape. However, the length of the rope can affect the tension and force required to pull it.

5) Is there a maximum mass that a rope can have when pulled by a force?

There is no maximum mass that a rope can have when pulled by a force, as long as the force applied is within the breaking strength of the rope. However, the greater the mass of the rope, the stronger the force required to move it.

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