Question

In: Physics

Assume that the speed of the ball is what you found the in previous question. What...

Assume that the speed of the ball is what you found the in previous question. What is the tension force in the rope when the ball is the bottom of its circular path? Enter you answer in multiples of (mg).

For example, if you find the tension force is  you should enter 3.75 as you answer.

My speed was 3.13 m/s - marked correct. the Radius is 1m.

The answer is not 1.32 - as previously answered on another question.

Solutions

Expert Solution

Given,

Radius is

Speed at the top,

Let    be the velocity at the bottom

By conservation of energy,

Potential energy + kinetic energy at the top = Kinetic energy at the bottom

At the bottom of the circular motion, the tension acts in the upward direction(towards the center of the circular path) and weight acts in the downward direction as always. Thus the necessary centripetal force ,towards the center of the circular path is given by,

taking    common from both the terms, we get

Thus, the tension is found in multiples of  

Answer is  


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