A cantilever beam AB supports a block which causes a

Chapter 19, Problem 19.106

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A cantilever beam AB supports a block which causes a static deflection of 8 mm at B. Assuming that the support at A undergoes a vertical periodic displacement \(d=d_{m} \sin \mathrm{V}_{f} t\), where \(d_{m} = 2 \ mm\), determine the range of values of \(v_{f}\) for which the amplitude of the motion of the block will be less than 4 mm. Neglect the weight of the beam and assume that the block does not leave the beam.

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