A uniform. hallaw, cylindrical spol has inside redius R/2, outside radius R, and mass M. It is mounted so that it rotates on a fixed, harizantal exle. The friction force between the axle and the spoal causes a torque A counterweight of mass m is connected to the end of a string wound eround the spool. The counterweight falls initially from rest to a position y at time M (a) Use the integretion method to find the mament of inertia of the spool as a function of Mand R. R/2 R/2 (b) Show thet y=4;". mg- m-5M
A uniform. hallaw, cylindrical spol has inside redius R/2, outside radius R, and mass M. It is mounted so that it rotates on a fixed, harizantal exle. The friction force between the axle and the spoal causes a torque A counterweight of mass m is connected to the end of a string wound eround the spool. The counterweight falls initially from rest to a position y at time M (a) Use the integretion method to find the mament of inertia of the spool as a function of Mand R. R/2 R/2 (b) Show thet y=4;". mg- m-5M
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Hi . I know the question is incomplete but I dont know why . Can you solve a and b ?
Transcribed Image Text:A uniform, hollow, cylindrical spool hes inside
redius R/2, outside redius R, end mass M. It is
mounted so that it rotetes on a fixed, horizontal
exle. The friction force between the axle and
the spool ceuses a torque A counterweight
of mess m is connected to the end of a string
wound eround the spool. The counterweight
falls initially from rest to a position y at time t.
M
(e) Use the integretion method to find the
moment of inertia of the spool es e function of
Mand R.
R/2
R/2
mg -
(b) Show thet y=4:;
8m-5M
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