WileyPLUS: MxWilexPLUS I Hele I Contact Us WileyPLUS Halliday, Fundamentals of P

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WileyPLUS: MxWilexPLUS I Hele I Contact Us WileyPLUS Halliday, Fundamentals of Physics, 10e Calculus-based Physics I & II (PH 201-202) RION Downloadable eTextbook Home eb4, Study & Practice Assignment> open Assignment 201-16 Chapter 11, Problem 044 Your answer is partially correct. Try again. 048 A Texas cockroach of mass 0.175 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 18.3 cm, rotational inertia 3.74 x 103 kg-m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.82 m/s, and the lazy Susan turns clockwise with angular velocity 0 = 3.76 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? Review Renitsht Stuer (a) Number0.15384859 the tolerance is +/-296 Question Attempts: 2 of 6 used SAVE FOR LATER

Explanation / Answer

using law of conservation of angular momentum

angular momentum before stop = angular momentum after stop

-(0.5*I*wo^2)+(m*v*r)= (I_susan + I_cock)*w

-(0.5*3.74*10^-3*3.76^2)+(0.175*2.82*0.183) =((3.74*10^-3)+(0.175*0.183^2))*w

0.0638 = 0.0096*w

w = 0.0638/0.0096

w = 6.65 rad/sec

b) mechanical energy is not conserved

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