Simple Harmonic Motion - Mass on a spring

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SUMMARY

The discussion focuses on calculating the force constant of a helical spring with a mass of 0.2 kg that produces an extension of 0.05 m. The subsequent calculations involve determining the time period of oscillations after pulling the mass down an additional 0.02 m and finding the maximum acceleration during motion, assuming gravitational acceleration (g) is 10 m/s². Key formulas include Hooke's Law for the spring constant and the equations for simple harmonic motion to derive the time period and maximum acceleration.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of simple harmonic motion principles
  • Familiarity with basic physics equations for acceleration and time period
  • Ability to perform calculations involving mass, force, and gravitational acceleration
NEXT STEPS
  • Calculate the spring constant using Hooke's Law: k = F/x
  • Learn how to derive the time period of oscillation: T = 2π√(m/k)
  • Understand the relationship between amplitude and maximum acceleration: a_max = (ω²)A
  • Explore the effects of varying mass and spring constants on oscillation behavior
USEFUL FOR

Students and educators in physics, mechanical engineers, and anyone interested in the principles of oscillatory motion and spring dynamics.

nokia8650
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A mass 0.2kg attached to the lower end of a light helical spring produces an extension of 0.05m.

Calculate the force constant of the spring.

The mass is pulled down a further 0.02m and released. Calculate the time period of subseuent oscillations and the maximum value of the accelartion during motion. Assume g =10ms^-2.

I am struggling with all parts of the uestion - please can you outline a method for me to follow.

Thanks a lot.
 
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Would the acceleration be g?

Thanks
 
nokia8650 said:
A mass 0.2kg attached to the lower end of a light helical spring produces an extension of 0.05m.

Calculate the force constant of the spring.
Already you have enough information to calculate the spring constant, and then use it to calculate the period and frequency of the motion.

The mass is pulled down a further 0.02m and released. Calculate the time period of subseuent oscillations and the maximum value of the accelartion during motion.
So what's the amplitude of the motion? How does maximum acceleration depend on amplitude? (You can also find the acceleration by analyzing the forces on the mass.)
 

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