After a thrilling plunge, bungee-jumpers bounce freely on the bungee cord throug

Question

After a thrilling plunge, bungee-jumpers bounce freely on the bungee cord through many cycles. After the first few cycles, the cord does not go slack. Your little brother can make a pest of himself by figuring out the mass of each person, using a proportion which you set up by solving this problem. An object of mass m is oscillating freely on a vertical spring with a period T. An object of unknown mass m' on the same spring oscillates with a period T '.

(a) Determine the spring constant. (Answer in terms of the mass m, and the period T.)


(b) Determine the unknown mass. (Answer using T2 for T ', as well as m and T.)

Explanation / Answer

a. T = 1/f f = 1/2p v(k/m) k = 4&*pi;^2 m / T^2 b. m' = 1/(4p^2) * k *( T2 )^2 m' = m (T2/T)^2

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