Two homogeneous spheres of mass M radius R joined by a bar of length L, negligible mass, and suspended from their geometric center by a string such that when rotated ϕ exerts torque −kϕ with k torsion coefficient of the wire. The air exerts dissipative effect F = −6πηv on each sphere, where η is the viscosity of the air and v is the linear velocity of each sphere. If I is the moment of inertia of a sphere with respect to the vertical axis that passes through the wire, determine the damping factor and natural frequency. (image 2)

Two homogeneous spheres of mass M radius R joined by a bar of length L, negligible mass, and suspended from their geometric center by a string such that when rotated ϕ exerts torque −kϕ with k torsion coefficient of the wire. The air exerts dissipative effect F = −6πηv on each sphere, where η is the viscosity of the air and v is the linear velocity of each sphere. If I is the moment of inertia of a sphere with respect to the vertical axis that passes through the wire, determine the damping factor and natural frequency. (image 2)

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter2: Matter And Energy

Section: Chapter Questions

Problem 12RQ: The specific volume of red brass is 0.001865 ft3/lb. Whatwould be its density?

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