- #1
Fitz Watson
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Homework Statement
A block is suspended by an ideal spring of the force constant K. If the block is pulled down by applying a constant force F and if maximum displacement of the block from its initial position of rest is X then, find the value of X.
Homework Equations
mg + F = XK + K(mg/K)
The Attempt at a Solution
Let mass of block = m
Before applying F, the block is at rest. Let extension of spring here be a. So,
aK = mg
Hence, a = (mg/K) ... {1}
Now, after the block comes in equilibrium under F,
F + mg = (X+a) K ..... {2}
Solving {1} & {2} gives:
X = F/KBut, my book says that X = 2F/K