Lully... U MyLaB & Mastering HYs 211-Spring17-STINNETT I Activities and Due Date
ID: 1563013 • Letter: L
Question
Lully... U MyLaB & Mastering HYs 211-Spring17-STINNETT I Activities and Due Dates I Hw: mics of Rotational Motion 4126/201706:00 PM o/100 Gradel e Print calculator Periodic Table 8 of 10 Sapling Learning A horizontal ci mass of 71.5 kg walk clockwise around the platform along its edge at the speed of 109 m/s with respoct atform's radius and poodle also walks around the tform, along a circle at half the at half linear speed with respect Your 18 other sits platform at a position that is the p radius the center. platform as a uniform radius the total momentum of the system kg m Previous Check Aniwer Next ExtExplanation / Answer
given
w = 0.985 rad/s
M = 92.5 kg
R = 1.89 m
m = 71.5 kg
m1 = 21.1 kg
m2 = 18.5 kg
linear speed of you with respect to ground, v = (R*w - v)
= (1.89*0.985 - 1.09)
= 0.7716 m/s
linear speed of poodle with respect to ground, v1 = ((R/2)*w - v/2)
= (1.89*0.985/2 - 1.09/2)
= 0.386 m/s
r2 = (3/4)*R
= (3/4)*1.89
= 1.42 m
Total angular momentum, = (0.5*M*R^2*w + m*v*R + m1*v'*r1 + m2*r2^2*w)
= (0.5*92.5*1.89^2*0.985 + 71.5*0.7716*1.89 + 21.1*0.386*(1.89/2) + 18.5*1.42^2*0.985)
= 311 kg.m^2/s
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