Reference no: EM13587382

Consider a conical pendulum; that is a ball of mass m at the end of a string of length l_i moving in a horizontal circle and making an angle of θ_i 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°?