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In the situation shown in figure all contact surfaces are smooth. The force constant of the spring is K. Two forces F are applied as shown. The maximum elongation produced in the spring is how many times of F/K (initially the spring is relaxed)?

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answer is 2.

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Detailed Solution

Maximum elongation is given by xmax=2F1m2+F2m1Km1+m2Here F1=F2=F; m1=m and m2=MPut the values and solve to get xmax=2F/K

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In the situation shown in figure all contact surfaces are smooth. The force constant of the spring is K. Two forces F are applied as shown. The maximum elongation produced in the spring is how many times of F/K (initially the spring is relaxed)?