Question #3219

Three springs of force constants, K1=10N/m, K2=12.5N/m, and K3=15N/m are connected together and attached to a mass of 0.50kg. The mass is then pulled to the right and released. Determine the period of the motion when the springs are combined in series and parallel.

Expert's answer

When the springs are combined in series
1/K=1/K1 +1/K2 +1/K3
thus
K=(K1 K2 K3)/(K1 K2 + K2 K3 + K1 K3 ).
When the springs are combined parallel

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