1. A simple (massless string, point mass pendulum) pendulum swings down and hits a peg located at the equilibrium line halfway through the pendulum's swing. The pendulum's string has a length L when it's to the left of the peg, and length [tex]\frac{L}{2}[/tex] after it hits the peg.(adsbygoogle = window.adsbygoogle || []).push({});

(a)Is this simple harmonic motion? Even approximately simple harmonic?

(b) What is the period of the motion?

2. I say yes, when the pendulum is released, it will hit the peg, swing up to the right to the same height it was released from on the left side, swing back down to the the left, and repeat the cycle all over again with adefinite period. Thus, SHM... I guess.

As for (b), I know you have to use conservation of energy, but I'm not quite sure how to translate that type of work into the formulas for period. Any help/hints would be appreciated. Not looking for a direct answer, just a nudge in the right direction.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Pendulum Hitting Peg

**Physics Forums | Science Articles, Homework Help, Discussion**