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 m sin ft, where m 10mm, determine the range of values of f for which the amplitude of the motion of the block will be less than 20 mm Neglec...

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A cantilever beam AB supports a block which causes a static deflection of 40 mm at B.

Question:

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 δ = δm sin ωft, where δm = 10mm, determine the range of values of f ω 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.