Question

A block weighing 4 kg is supported by a spring with a constant of k = 128 N/m and a dashpot with a coefficient of viscous damping of c = 0.6 N·s/m. The block is in equilibrium when it is struck from below by a hammer that imparts to the block an upward velocity of 0.4 m/s.

Determine the maximum upward displacement of the block from equilibrium after two cycles.

The maximum upward displacement is _ mm.

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Answer #1

Calculate the damping ratio. (0.6) = 0.01326 2.1km 2. (128)(4) Calculate the maximum upward displacement after two cycles.2πης х n =e x 21(2)(0.01326) V1-(0.01326) X2 =e x 0 = 0.8465 mg x2 = 0.8465xx, = 0.8465x k = 0.8465x 4x9.81 128 = = 0.2595 m

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