BROURSActivities and Due Dates Chapter 11: Angular Momentum 10/16/2017 1 1:00 PM

Question

BROURSActivities and Due Dates Chapter 11: Angular Momentum 10/16/2017 1 1:00 PM O 77.8/100 O 10/10/2017 05:05 PM Gradeb Print Question 9 of 9 Map do Sapling Learning A 94.9-kg horizontal circular platform rotates freely with no friction about its center at an initial velocity of 1.51 rad/s. A the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.79 m. Number radi s

Explanation / Answer

here,

mass of plateform , m1 = 94.9 kg

mass of bananas , m2 = 8.07 kg

radius , r = 1.79 m

r1 = 4/5 * r

mass of monkey , m3 = 20.1 kg

initial angular speed , w = 1.51 rad/s

let the final angular speed of plateform be w'

using conservation of angular momentum

0.5 * m1 * r^2 * w = ( 0.5 * m1 * r^2 + m2 * r1^2 + m3 * r^2)

0.5 * 94.9 * 1.79^2 * 1.51 = ( 0.5 * 94.9 * 1.79^2 + 8.07 * (0.8 * 1.79)^2 + 20.1 * 1.79^2 ) * w'

solving for w'

w' = 1 rad/s

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