Circular Motion, a swinging ball and tension in string

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SUMMARY

The discussion centers on calculating the tension in a string when a ball of mass 3.335 kg swings through an angle of 45 degrees. The user applied the formulas v = sqrt[2gL(sin alpha - sin alpha0)] and T = m(3 sin alpha - 2 sin alpha0), assuming alpha0 = 0 degrees. However, the user did not achieve the expected result and sought clarification on the derivation of these formulas. The consensus emphasizes the importance of adhering to fundamental principles such as conservation of energy and Newton's laws for accurate calculations.

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Sdarcy
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http://www.mech.uq.edu.au/courses/mech2210/yat/q/swinging_ball.jpg

The mass of the ball is m, as given below in kg. It is released from rest. What is the tension in the string (in N) when the ball has fallen through 45o as shown.

m[kg] = 3.335

I've used the formulae:

v = sqrt[2gL(sin alpha - sin alpha0)]
T = m(3 sin alpha - 2 sin alpha0)

and assumed that alpha0 = 0 degrees

I don't get the answer that the system is looking for (and it doesn't tell me what the right answer IS)

Any ideas where I've gone wrong?

Cheers...
 
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Sdarcy said:
v = sqrt[2gL(sin alpha - sin alpha0)]
T = m(3 sin alpha - 2 sin alpha0)
Where do these formulas come from?

Unless you've derived them yourself, stick to basic principles: Conservation of energy and Newton's laws.
 

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