Understanding Hooke's Law and SHM: A 4kg Mass on a Spring with k = 40n/m

AI Thread Summary
The discussion revolves around a 4 kg mass on a spring with a spring constant of 40 N/m, oscillating in simple harmonic motion (SHM) with a maximum displacement of 30 cm. The user attempts to calculate the spring force using Hooke's Law but initially arrives at an incorrect value. The key questions posed include determining the stretch of the spring and calculating the period of oscillation when the mass is lowered by 20 cm and released. The correct application of the formulas for spring force and oscillation period is essential for solving the problem. Understanding Hooke's Law and its implications in SHM is crucial for accurate calculations.
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hooke's law and shm help please

Homework Statement


a 4 kg mass is placed on a spring (k = 40n/m) which hangs vertically. the mass is allowed to oscillate in shm. the maximum distance the mass travels in anyone direciton is 30cm


Homework Equations


k = 40 n/m
distance = 30 cm
mass = 4 kg
Fspring = -kx
net force = Fspring-mg



The Attempt at a Solution


Fspring = -kx
Fspring = -(40) (.3) = -12 (wrong answer)
 
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What are you asked to find?
 


o lol you're asked to find :
a) how many meters is the spring streched?
b) if the mass is lowered 20cm and released, what will be its period of oscillation?
 

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