please dont attempt unless you know 100% sure and please show steps clearly. Tha

Question

please dont attempt unless you know 100% sure and please show steps clearly. Thank you!

Two tiny masses are stuck to a disk originally rotating counter-clockwise at 34 rad/s about its center. Mass 1 is located a distance of 0.35 meters from the center and mass 2 is located at 0.74 meters from the center. A constant angular acceleration is applied to the disk and after a time of 1.7 seconds mass 1's tangential velocity is 6 m/s in the +x direction when it is below the disk's center (as in the example in class). What is the magnitude of the tangential velocity of mass 2, in m/s, after 2.6 seconds? m2 mi

Explanation / Answer

here,

for m1

intial angular speed ,w0 = 34 rad/s

final angular speed , w = 6 /0.35 = 17.1 rad/s

time taken , t1 = 1.7 s

let the angular accelration be alpha

w = w0 + alpha * t

17.1 = 34 + alpha * 1.7

alpha = - 9.92 rad/s^2

for mass m2,

intial angular speed ,w0 = 34 rad/s

time , t2 = 2.6 s

the angular speed , w2 = w0 + alpha * t2

w2 = 34 - 9.92 * 2.6 rad/s

w2 = 8.2 rad/s

the magnitude of tangetial velocity of 2 , v2 = w2 * 0.74 = 8.2 * 0.74 = 6.07 m/s

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