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Question

if an Undamped spring -mass system with weight 16 lb and spring constant 1/3 lb/in is suddenly set in motion at time t = 0 by an external force 4 cos 2 root 2t lb, determine the subsequent motion. Will pure resonance occur?

if an Undamped spring -mass system with weight 16 lb and spring constant 1/3 lb/in is suddenly set in motion at time t = 0 by an external force 4 cos 2 root 2t lb, determine the subsequent motion. Will pure resonance occur?

Solution

x = x/x xx/xx = 58.37 x/x

m = xx xx = xx.xx N

x = xxxx(x/x) = xxxx ( xx.xx/xx.xx) = x.xxxx

here xxxxx frequency = x * sqrt(2)

xx not xxxxxxxx xxxx xxx natural xxxxxxxxy.

Hence, xxxxxxxxx xxxx xxx be xxxxx.

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