Ball hanging from string, what is tension when at its lowest point?

AI Thread Summary
The discussion revolves around calculating the tension in a rope from which a heavy ball is suspended as a pendulum. At the lowest point of the swing, the forces acting on the ball include the tension in the rope and the weight of the ball. The tension must counteract the gravitational force while also providing the necessary centripetal force due to the ball's speed of 5.6. The participants confirm that frictional forces can be ignored for this calculation. Understanding these forces is crucial for determining the tension in the rope at the lowest point of the swing.
racer98jc
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Homework Statement



A heavy ball with a weight of 130 is hung from the ceiling of a lecture hall on a 4.6--long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 as it passes through the lowest point.

What is the tension in the rope?


Homework Equations





The Attempt at a Solution

 
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Hi racer98jc, welcome to PF.

What are the forces acting on the ball at the lowest point of the swing?
 
Last edited:
Hello,

at the bottom: tension and the balls own weight are acting on it. Correct?
 
racer98jc said:
Hello,

at the bottom: tension and the balls own weight are acting on it. Correct?

Correct(the question probably wants you to ignore frictional forces)
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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