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Find an amplitude of the motion of the block

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Q: A cantilever beam AB supports a block which causes a static deflection of 40 mm at B. Assuming that the support at A undergoes a vertical periodic displacement d = dm sin ?ft, where dm = 10mm, determine the range of values of f for which the amplitude of the motion of the block will be less than 20 mm. Neglect the mass of the beam and assume that the block does not leave the beam.

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Mechanical Engineering: Find an amplitude of the motion of the block

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