w= ?? MasteringEngineering MasteringComputerScience: Problem Assignment No. 8 -

Question

w= ??

MasteringEngineering MasteringComputerScience: Problem Assignment No. 8 - Google Chrome Secure https://session.masteringengineering.com/myct/itemView?assignmentProblemiD-7136150 Correct Part B As shown, a baseball of mass 145 g is thrown at the target. (Figure 2) The ball hits the target at a vertical distance h 26.0 cm from the pin at point O with a speed of (UA),-153 m/s perpendicular to the target.f the coefficient of restitution between the ball and the target is € = 0.590 what is w, the target's angular velocity immediately after the ball hits the target? Express your answer numerically to three significant figures with the appropriate units. View Available Hint(s) O Type here to search 4:32 PM 6/19/2018

Explanation / Answer

A. moment of inertia of disc that is passing through its center and parallel to its surface along diameter.

= (0.820)(0.0685^2)/ 3

= 1.28254833 x 10-3 kg m2   

now applying paralllel axis theorem,

I = Icm + m d2

I1 = (1.9238225 x 10-3) + (0.820)(0.21 + 0.0685)2

I1 = 0.648835 kg m2    

moment of inertia of rod, I2 = 0.590 x 0.212 / 3

= 8.673 x 10-3 kg m2

moment of inertia of system, I = I1 + I2

I = 0.07355 kg m2

(B)

e = velocity of separation / velocity of approach

0.590 = (v2 + wh) / vA1

0.590 x 15.3 = v2 + 0.26w

v2 = 9.027 - 0.26w

now applying angular momentum conservation,

(0.145 x 15.2 x 0.26) = I w - (0.145 x v2 x 0.26)

0.57304 = 0.07355 w - 0.0377(9.027 - 0.26w)

0.9133579 = 0.063748 w

w = 14.32 rad/s ..........Ans

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