Chapter 11, Problem 044 Your answer is partially correct. Try again A Texas cock

Question

Chapter 11, Problem 044 Your answer is partially correct. Try again A Texas cockroach of mass 0.146 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 12.6 cm, rotational inertia 4.75 x 103 kg-m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 1.91 m/s, and the lazy Susan turns clockwise with angular velocity 0 = 3.66 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved as it stops? (a) Number N7.43 (b)Tno the tolerance is +/-2% Units T rad/s

Explanation / Answer

Applying angular momentum conservation,

( L = I w Or m v r )

(0.146 x 0.126 x 1.91) - (4.75 x 10^-3 x 3.66) = ((0.146 x 0.126^2) + (4.75 x 10^-3)) w

w = 2.53 rad/s ......Ans

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