(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A small sphere of mass m is fastened to a weightless string of length 0.5m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 60 degrees with the vertical.

a) What is the velocity of the sphere when it passes through the vertical position?

b) What is the instantaneous acceleration when the pendulum is at its maximum deflection?

2. Relevant equations

3. The attempt at a solution

a) What is the velocity of the sphere when it passes through the vertical position?

I think that K should be = U because they only change is the pendulum's speed. Is that correct?

1/2mv2= mgh

So the m's cancel and you are left with:

1/2v2 = 9.8(0.43)

v = 2.9 m/s

Did I do that correctly?

b) What is the instantaneous acceleration when the pendulum is at its maximum deflection?

I am not sure where to begin for this part.

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# Homework Help: Pendulum and its acceleration

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