A monkey has a Cart With a horizontal spring attached to it that she uses for di

Question

A monkey has a Cart With a horizontal spring attached to it that she uses for different tricks In one trick the monkey s,ts on the vibrating cart. When the cart reaches its maximum displacement from equilibrium, the monkey Picks up a 0.30-kg cantaloupe from a trainer. The mass of the monkey and the cart together is 3.0 kg. The spring constant is 660 N/m. The amplitude of horizontal vibrations is 0.24 m. Determine the ratio of the maximum speed of the monkey before and after she picks up the cantaloupe.

Explanation / Answer

angular frequency w = sqrt(k/m)

before picing up banana

w1 = sqrt(k/m) = sqrt(660/3) = 14.83 /s

after picking up banana

w2 = sqrt(k/M) = sqrt(660/3.3) = 14.14 /s

maximum speed of a particle in SHM = A*w

maximum speed of a particle before picking up = v1 = A*w1 = 0.24*14.83 = 3.56 m/s

maximum speed of a particle before picking up = v2 = A*w2 = 0.24*14.14 = 3.4 m/s

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