At the instant shown in, ball B is rolling along the slot in the disk with a vel

Question

At the instant shown in, ball B is rolling along the slot in the disk with a velocity of 850 nm/s and an acceleration of 150 mm/s^2 both measured relative to the disk and directed away from O. At the same instant the disk has the angular velocity and angular acceleration shown (Figure 1) Determine the x, y and z components of the velocity of the ball at this instant using scalar notation. Express your answers using three significant figures separated by commas. Determine the x, y and z components of the acceleration of the ball at this instant using scalar notation. Express your answers using three significant figures separated by commas.

Explanation / Answer

velocity = 0.85 i + w*r j + 0 k

            = 0.85 i + 6 *0.4 j   = 0.85 i + 0.24 j + 0k m/s

acceleration = (0.15 - 0.4*6^2) i + (2*0.85*6 + 0.4 * 3) j + 0 k

                  =   -14.25 i + 11.4 j + 0 k m/s^2

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