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

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SUMMARY

This discussion focuses on the application of Hooke's Law and Simple Harmonic Motion (SHM) involving a 4 kg mass on a spring with a spring constant (k) of 40 N/m. The maximum displacement of the mass is 30 cm. The key equations utilized include Fspring = -kx and net force = Fspring - mg. The participants aim to determine the spring's stretch and the period of oscillation when the mass is lowered by 20 cm.

PREREQUISITES
  • Understanding of Hooke's Law
  • Knowledge of Simple Harmonic Motion (SHM)
  • Familiarity with basic physics equations involving force and mass
  • Ability to perform unit conversions (e.g., cm to m)
NEXT STEPS
  • Calculate the spring stretch using the formula: Fspring = -kx
  • Determine the period of oscillation using the formula: T = 2π√(m/k)
  • Explore the implications of damping in SHM
  • Investigate the effects of varying spring constants on oscillation behavior
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the principles of oscillation and spring dynamics.

superaznnerd
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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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