The motor of mass M is supported by a simply supported beam of negligible mass. If block

Chapter 22, Problem 22-62

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The motor of mass M is supported by a simply supported beam of negligible mass. If block A of mass m is clipped onto the rotor, which is turning at constant angular velocity of v, determine the amplitude of the steadystate vibration. Hint: When the beam is subjected to a concentrated force of P at its mid-span, it deflects d = PL3>48EI at this point. Here E is Youngs modulus of elasticity, a property of the material, and I is the moment of inertia of the beams cross-sectional area.

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