18.37 The radius of the pulley is R100 mm and its momentstant is k -of inertia is I 0.1 kg-m². The mass m = 5 kg. The spring con-135 N/m. The system is released from rest with thespring unstretched. What maximum distance does the mass fallbefore rebounding?Strategy: Assume that the mass has fallen an arbitrarydistance x. Write the equations of motion for the mass and thepulley and use them to determine the acceleration a of the massas a function of x. Then apply the chain rule:dvdtdv dx dvdx dtdxkRmProblems 18.36/18.37

For given system consider moment about point O, at center ∑To=Iα(kx)R-TR=-Iα For mass m consider…

18.37 The radius of the pulley is R = 100 mm and its moment of inertia is I = 0.1 kg-m². The mass m = 5 kg. The spring con- stant is k = 135 N/m. The system is released from rest with the spring unstretched. What maximum distance does the mass fall before rebounding? S (EN MARINE DAUNEN

18.37 The radius of the pulley is R = 100 mm and its moment of inertia is I = 0.1 kg-m². The mass m = 5 kg. The spring con- stant is k = 135 N/m. The system is released from rest with the spring unstretched. What maximum distance does the mass fall before rebounding? S (EN MARINE DAUNEN

Elements Of Electromagnetics

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18.37 The radius of the pulley is R
100 mm and its moment
stant is k -
of inertia is I 0.1 kg-m². The mass m = 5 kg. The spring con-
135 N/m. The system is released from rest with the
spring unstretched. What maximum distance does the mass fall
before rebounding?
Strategy: Assume that the mass has fallen an arbitrary
distance x. Write the equations of motion for the mass and the
pulley and use them to determine the acceleration a of the mass
as a function of x. Then apply the chain rule:
dv
dt
dv dx dv
dx dt
dx
k
R
m
Problems 18.36/18.37

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