A 945-kg velocity of 1.69 rad/s. A the platform at 4/5 of its radius from the ce

Question

A 945-kg velocity of 1.69 rad/s. A the platform at 4/5 of its radius from the center monkey with a mass of 21.7 kg, drops verticaliy to the edge of the platform, grs latform rotates freely with no friction about its center at an initial angular drops a 8.59-kg bunch of bananas vertically onto the platform. to it there, and continue to rotate with it. Then the e with the platformm. Find the angular velocify of the plätform with its load. Model the platform as a disk hit grasps it, and continues to of radius 1.87 m. Number rad/s Tools 102

Explanation / Answer

Here,

let the final angular speed of the circular platform is wf

wi = 1.69 rad/s

Using conservation of angular momentum

initial angular momentum = final angular momentum

0.50 * 94.5 * R^2 * 1.69 = (0.50 * 94.5 * R^2 + 8.59 * (0.80 * R)^2 + 21.7 * R^2) * wf

0.50 * 94.5 * 1.69 = (0.50 * 94.5 + 8.59 * (0.80)^2 + 21.7) * wf

solving for wf

wf = 1.07 rad/s

the final angular speed is 1.07 rad/s

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