- #1
Datta108
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Homework Statement
Rotation of a small drum of mass moment of inertia 0.44kg.m^2 and with frictional resistance torque 0.3 N.m is initiated by a string wound around its 20 mm diameter shaft and attached to a stretched spring, as shown in the figure. If the spring, which has a stiffness 2N/mm is initially stretched by 120 mm before the drum is released from rest, determine the maximum angular velocity, in rpm, attained by the drum.
Homework Equations
Tnet = Iα
SE = 1/2 kx^2
KE of drum = 1/2Iw^2
The Attempt at a Solution
The spring energy provided by the stretched spring is given to the drum and converted to the kinetic energy of the drum. Equating these two gives w = 23.4 rad/s^2. I don't know how to proceed from here. I believe we have to find the T provided by the spring. Then, the first equation can be used to find the difference in T and therefore alpha can be found. From this v can also be found. However, I am stuck at finding T provided by spring.
Any help (ASAP) will be greatly appreciated.
Many Thanks!