In: Physics
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.
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