A spring is hung vertically from a fixed support. When an object of mass m is at

Question

A spring is hung vertically from a fixed support. When an object of mass m is attached to the end of the spring, it stretches by a distance y. When an object of mass of 2m is hung from the spring, it stretches by a distance 2y. A second, identical spring is then attached to the fixed support as shown and a light rod is placed across the free ends of the springs. If the object of mass 2m is attached to the middle of the rod, how far will the rod move downward? Assume the masses of the springs and the rod are negligible when compared to m

Explanation / Answer

effective spring constant = k1 +k2

=2k

but mg=ky

so, let the displacement be x.so,

2k*x=2mg

or x= y

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