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Please provide Steps and explanations! Thank you! The angular position of a rota

ID: 1902999 • Letter: P

Question

Please provide Steps and explanations! Thank you!

The angular position of a rotating wheel is described by theta=0.8+2t-0.5t2. Find the angular displacement from t=0 to t=3 s. At what time would the wheel be at rest? The four masses are connected by rigid rods of negligible mass and are symmetric about the x- and y-axes. If the system rotates in the xy plane about the z-axis with an angular speed of 6 rad/s, calculate the moment of inertia of the system and the rotational kinetic energy of the system.

Explanation / Answer

4.> = 0.8 +2t - 0.5t2

at t=0 , 1 = 0.8

at t=3s 2 = 2.3

req angular displacement = 2.3 - 0.8 = 1.5

for rest velocity should be zero

so d/dt =0 => 2-t = 0 => t=2 sec is the time when wheel will come to rest.

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