Simple harmonic motion object problem

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SUMMARY

The discussion centers on calculating the time it takes for an object undergoing simple harmonic motion (SHM) to move from a position of 5.95 cm to -1.49 cm. The object has a period of 0.330 seconds and an amplitude of 5.95 cm. The user attempted to apply the equation x = A cos(wt + phase angle) but encountered difficulties. The solution requires determining the angular frequency and solving for time using the properties of SHM.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Knowledge of angular frequency calculation
  • Familiarity with trigonometric functions in physics
  • Ability to manipulate equations for SHM
NEXT STEPS
  • Calculate angular frequency using the formula ω = 2π/T, where T is the period.
  • Explore the phase angle concept in SHM to determine initial conditions.
  • Learn how to derive time from the position equation x = A cos(ωt + phase angle).
  • Practice solving SHM problems involving different initial positions and amplitudes.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and wave motion, as well as educators looking for examples of simple harmonic motion problems.

jaymode
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I have this problem:
An object is undergoing simple harmonic motion with period 0.330 s and amplitude 5.95 cm. At t=0 the object is instantaneously at rest at x= 5.95 cm.

i need to find :
the time it takes the object to go from x= 5.95 cm to x= −1.49 cm.

I have tried using x = A cos(wt + phase angle)

but get stuck.
 
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jaymode said:
I have this problem:
An object is undergoing simple harmonic motion with period 0.330 s and amplitude 5.95 cm. At t=0 the object is instantaneously at rest at x= 5.95 cm.

i need to find :
the time it takes the object to go from x= 5.95 cm to x= −1.49 cm.

I have tried using x = A cos(wt + phase angle)

but get stuck.
what effort have you put into this??
 
jaymode said:
I have this problem:
An object is undergoing simple harmonic motion with period 0.330 s and amplitude 5.95 cm. At t=0 the object is instantaneously at rest at x= 5.95 cm.

i need to find :
the time it takes the object to go from x= 5.95 cm to x= −1.49 cm.

I have tried using x = A cos(wt + phase angle)

but get stuck.

this is very easy. What equation will you use ?

marlon
 

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