How Do You Calculate Amplitude and Period in Simple Harmonic Motion?

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SUMMARY

The discussion focuses on calculating the amplitude and period of simple harmonic motion (SHM) for a block attached to a spring with a force constant of k = 40 N/m. The amplitude can be determined using the equation for angular frequency, w = √(k/m), where m is the mass of the block (0.1 kg). The time period for the block to return to its initial position can be calculated using the formula T = 2π/w, derived from the properties of SHM.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Knowledge of Hooke's Law and spring constants
  • Familiarity with angular frequency and its calculations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the formulas for amplitude and period in SHM
  • Learn about the relationship between mass, spring constant, and frequency
  • Explore examples of SHM in real-world applications
  • Practice solving problems involving multiple springs and masses
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Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for problem-solving strategies in simple harmonic motion.

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hard physics question! help please

Homework Statement


How do I solve the 2 questions below?:

Questions 23 24
A 0.l kilogram block is attached to an initially unstretched spring of force constant k = 40 Newtons per meter as shown above. The block is released from rest at time t = 0. (the image is attached below).

23. What is the amplitude of the resulting simple harmonic motion of the block?
(A) m (B) (C) (D) (E) 1m

24. At what time after release will the block first return to its initial position?
(A) (B) (C) (D) (E)

Homework Equations



w^2= k/m
x = Asin(wt)
F=kx
dunno wat else??

The Attempt at a Solution



I tried plugging in those 3 equations together and manipulating equations. couldn't get anything though. Someone please help. I think I'm missing an important equation.
 

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bumped
 


can someone help pl0x
 


How far does the spring stretch when the net force on the block is zero? i.e. when k·|x-x0|=mg .

Describe the motion of the block (in words) over one complete period.
 

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