While visiting friends at Cal State Chico, you pay a visit tothe Crazy Horse Sal

Question

While visiting friends at Cal State Chico, you pay a visit tothe Crazy Horse Saloon. This fine establishment features a 200- kgmechanical bucking bull that has a mechanism that makes it movevertically in simple harmonic motion. Whether the“bull” has a rider or not, it moves with the sameamplitude 2.24 m and frequency 0.400 Hz. Being from Texas youdecide to ride it the “macho” way by NOT holding on. Tono ones surprise you go flying out of the saddle. While waiting foryour bruises and pride to heal, you decide to calculate how fastupward you were moving when you left the saddle.

Give your answer in m/s to the second decimal place.

The answer should be 4.06

Explanation / Answer

x = A cos t v = - A sin t a = - 2 A cos t When a = g on the upward motion the upward momentum ofthe rider will carry him from the saddle. cos = g / (2 A ) = 9.8 / [(2 *.4)2 * 2.24 = .693    = 46.2deg At that point the speed of the rider is v = (2.51 * 2.24 *.722) = 4.06 m / sec Note: Using x = A sin t (amplitude zero at t = 0) will give you the correct opposite signs for v and a

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