Simple Harmonic Motion of a mass hanger

AI Thread Summary
The problem involves a 50 g mass hanger that becomes motionless when a 91 g mass is added, causing a 7 cm increase in spring stretch. The goal is to determine the spring constant (k) using the equations of motion for springs. The relevant formulas include F = k(delta)L - mg, k(delta)L(sub_e) = mg, and (delta)L = (delta)L(sub_e) - y. The challenge arises from the unknown equilibrium position, which complicates the calculation of displacement (y). The discussion highlights the need to establish equilibrium to accurately solve for the spring constant.
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Homework Statement


A 50 g mass hanger hangs moitionless from a partially stretched spring. When a 91 gram mass is added to the hanger, the spring stretch increases by 7 cm. What is the spring constant of the spring (in N/m)? (Assume g = 9.79 m/s2.)


Homework Equations


F=k(delta)L-mg
k(delta)L(sub_e)=mg
(delta)L=(delta)L(sub_e)-y

The Attempt at a Solution


I tried to use the three formulas above to solve for k, however; since I don't know the equilibrium position, I can't find y, which is the displacement of the mass from the equilibrium position.
 
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