Homework Help: Physics

Posted by Ben on Tuesday, October 9, 2012 at 3:08pm.

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.88 m. With the string hanging vertically, the object is given an initial velocity of 1.7 m/s parallel to the ground and swings upward on a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then swings back downward. Find the angle θ.

Physics - Elena, Wednesday, October 10, 2012 at 8:21am
mv²/2= mgh=mgL(1-cosθ)
cosθ= 1- (v²/gL)
θ=arccos[1- (v²/gL)]
θ=arccos[1- (1.7²/9.8•0.88)] = 34.6°

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