The circular disk rotates with a constant angular velocity 40 rad sec about its axis, which is inclined in the y z plane at the angle tan 1 3 4 Determine the vector expressions for the velocity and acceleration of point P, whose position vector at the instant shown is r 15i 16j 12k in (Check the ma...

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The circular disk rotates with a constant angular velocity = 40 rad /sec about its axis,

Question:

The circular disk rotates with a constant angular velocity ω = 40 rad /sec about its axis, which is inclined in the y-z plane at the angle θ = tan⁻¹3/4. Determine the vector expressions for the velocity and acceleration of point P, whose position vector at the instant shown is r = 15i + 16j − 12k in. (Check the magnitudes of your results from the scalar values v = rω and a_n = rω².)