G physics units sheet Go x Homework: Angular Mo X urse/View Problem ?unitltemID
ID: 1568166 • Letter: G
Question
G physics units sheet Go x Homework: Angular Mo X urse/View Problem ?unitltemID 2398128&enrollmentID; 238319 Merry Go Round A memy go round with a a radius of R. 65 m and moment of inertia I. 217 ka m is spinning with an initial angular ockwise direection when viewed from above. A person with mass m S5 kg 48 m/s runs on a path tangent to the merry-go-round. Once at the the person Nmps on and holds on to the rim of the menygo round. of the merry-go-round? 1)What the magnitude of the initial angular momentum 2) what the magnitude of the angular momentum of the penon 2 meters before she jumps on the merrygo round? 3) what is the magnitude of the angular momentum of the person Just before she jumps on to the merryge-round? 4) what is the angular speed of the merrygo round after the penon Mmps on? sy once the merryto round travels atthis new angular ipeed, what force does the penon need to hold on? E sphere ng PuttExplanation / Answer
1) magnitude of initial angular momentum of the merry-go-round = I*w
= 217*1.55
= 336.35 kg.m^2/s
2) magnitude of initial angular momentum of the person = m*v*R
= 59*4.8*1.65
= 467.28 kg.m^2/s
3) same 467.28 kg.m/s^2
4) Apply conservation of angular momentum
final angular momentum initial angular momentum
(I + m*R^2)*wf = 467.28 - 336.35
wf = (467.28 - 336.35)/(I + m*R^2)
= (467.28 - 336.35)/(217 + 59*1.65^2)
= 0.347 rad/s
5) F = m*R*wf^2
= 59*1.65*0.347^2
= 11.7 N
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