PART A Calculate the magnitudes of the angular velocities, ? s and ? p , if the

Question

PART A

Calculate the magnitudes of the angular velocities, ?s and ?p, if the magnitude of the resulting angular velocity of the disk is ?=17.7 rad/s .

?s,?p=???

PART B

Find the velocity of A at the instant shown with respect to a fixed set of coordinate axes originating at O. Express your answer in component form.

PART C

Calculate the acceleration of A with respect to the origin, O at the instant shown. Recall that the angular velocities, ?s and ?p have constant magnitudes. Express your answer in component form.

Explanation / Answer

For no slip, wp*e=ws*d/2; Also, (wp^2+ws^2)^0.5=17.7; this gives, wp=2.64rad/s and ws=17.50rad/s. Velocity of A = ws*d/2 k + wp*e i = 166.25 k + 166.32 i cm/s. Acceleration = V x w = -2909.38 i -439.08 j + 2910.6 k.

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