Three identical 3.40kg masses are hung by three identical springs, as shown in t

Question

Three identical 3.40kg masses are hung by three identical springs, as shown in the figure. Each spring has a force constant of 5.10kN/m and was 12.0cm long before any masses were attached to it. How long is each spring when hanging as shown? (Hint: First isolate only the bottom mass. Then treat the bottom two masses as a system. Finally, treat all three masses as a system.)(Figure 1)

Three identical 3.40kg masses are hung by three identical springs, as shown in the figure. Each spring has a force constant of 5.10kN/m and was 12.0cm long before any masses were attached to it. How long is each spring when hanging as shown? (Hint: First isolate only the bottom mass. Then treat the bottom two masses as a system. Finally, treat all three masses as a system.)(Figure 1)

Explanation / Answer

top spring length=12+3mg/k=12+3*3.4*9.81/5.1/10=13.962cm

middle spring length=12+2mg/k=12+2*3.4*9.81/5.1/10=13.308cm

bottom spring length=12+mg/k=12+3.4*9.81/5.1/10=12.654cm

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