Question

A block of mass M is suspended from two identical springs of negligible mass, spring constant k, and unstretched length L. First one spring is attached to the end of the other spring. The block is then attached to the second spring and slowly lowered to its equilibrium position. The two springs stretched a total distance of X1. Next, the springs are hung side by side. The block is then attached to the end of springs and again slowly lowered to its equilibrium position. The springs each stretch a distance of X2. Which of the following correctly shows the relationship between X1 and X2.
(A)X1=X2
(B)X1=√2X2
(C)X1=2X2
(D)X1=4X2
(E)X1=8X2

Answer 1

Answer:

The answer is (C)X1=2X2

Explanation:

Answer 2

The equation or statement that best describes the relationship between X1 and X2 is

X1=2X2

What is an equilibrium position?

Generally, A system must be stable around an equilibrium point in order to vibrate around it.

Parameters

The two springs stretched a total distance of X1.

The springs each stretch a distance of X2

In conclusion, the relationship b/w x1 and x2 will be relative to where equilibrium position and is given as

X1=2X2

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