Simple Harmonic Motion Problem(pendulum)

AI Thread Summary
A simple pendulum problem involves a 0.653 m string and a ball released from a small angle. The time for the pendulum to reach its greatest speed is not determined solely by the oscillation period equation, as it requires understanding the pendulum's motion dynamics. The maximum speed occurs at the lowest point of the swing, where kinetic energy is maximized. Conservation of mechanical energy principles are essential for solving this problem. Clarifying these concepts leads to a better understanding of the pendulum's motion.
JSmith89
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Homework Statement


A simple pendulum is made from a 0.653 m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?


Homework Equations



Tpend=2\pi\sqrt{}length/gravity

incase that didn't come out right using the symbols: Timeofpend=2pi*the square root of length divided by gravity

The Attempt at a Solution


I used this equation from notes in class and the answer was wrong... I'm not sure whether you need to factor in kinetic energy/potential energy because it's asking the time before it attains the greatest speed or not. I feel like this should be an easy question. Thanks ahead of time! :-)
 
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Remember your equation gives the time for one complete oscillation. Think of where the pendulum's speed will be a maximum (at which position) during it's swing? The law of conservation of mechanical energy will help you to determine this point.
 
ok got it thanks!
 
JSmith89 said:
ok got it thanks!

Glad to be of assistance :smile:
 

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