IIT-JEE questions.

An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstreched. Then the maximum extension in the spring is

Mg/2k 4 Mg/k 2 Mg/k Mg/k

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1 solution

Raj Rajput
May 5, 2015

for maximum extension work done = 0 (as initial K.E = final K.E ) . Hence Mgx - 1/2(k*xsquare) = 0. so value of x( maximum extension) comes out to be = 2Mg/k

But even the Forces balance as Mg=kx and so x=Mg/k.....

Alvin Cheriyan - 3 years, 3 months ago

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That's for the equilibrium position. We know that the maximum elongated position is double the equilibrium position. So x=2Mg/k

Lahari Basu - 3 years, 3 months ago

But maximum extension is 2Mg/k

Atharv Sharma - 3 years, 2 months ago

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