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Conical Pendulum A mass attached at the end of a massless string swings around in a...

Conical Pendulum

A mass attached at the end of a massless string swings around in a horizontal circle (the string sweeps out a cone). Let θ be the angle the string makes with the vertical, l be the length of the string, h is the vertical height of the string, and r is the radius of the circle. So, l is the hypotenuse of a right triangle with h and r as legs, and θ as the upper angle. The length of the string l is slowly increased (or decreased). (a) Assuming that θ is very small, how does r depend on l? (b) Assuming that θ is very close to π/2, how does h depend on l? Use newtonian mechanics and angular momentum to solve

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