Problem: An object of mass M = 5.00 kg is attached to a spring with spring constant k = 220 N/m whose unstretched length is L = 0.180 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 2.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 2.00 radians/sAssume that, at a certain angular speed ω2, the R becomes twice L. find ω2 in radians/s

FREE Expert Solution

Spring force:

F=kx

Centripetal force:

F=mv2r=mrω2

ΣF = mRω2 - kx = 0

mRω2 = kx

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Problem Details

An object of mass M = 5.00 kg is attached to a spring with spring constant k = 220 N/m whose unstretched length is L = 0.180 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 2.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 2.00 radians/s

Assume that, at a certain angular speed ω2, the R becomes twice L. find ω2 in radians/s

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Uniform Circular Motion concept. You can view video lessons to learn Uniform Circular Motion. Or if you need more Uniform Circular Motion practice, you can also practice Uniform Circular Motion practice problems.