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Consider a conical pendulum; that is a ball of mass m at the end of a string of length li moving in a horizontal circle and making an angle of θi with vertical. Imagine the string can be shortened or lengthened by pulling the string through a hole, as discussed in class. The variable r is the radius of the circle the ball moves in.
(a) Find equations for r(θ), period(θ), v(θ), tension(θ), ω(θ), and l(θ). These equations should contain only known quantities and θ as variables (plus of course the other variable, such as r, period, etc.).
(b) Which quantities are large as θ approaches 90°? Which quantities are large as θ approaches 0°?
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