Simple harmonic motion question

AI Thread Summary
A mass in simple harmonic motion has a displacement of 0.5 m with a velocity of 4 m/s at one point, and a displacement of 0.25 m with a velocity of -8 m/s at another. The relevant equations for the motion are X(t) = Acos(wt + φ) and V(t) = -Awsin(wt + φ). Participants are encouraged to share their attempts and specific challenges to receive targeted assistance. The discussion emphasizes collaboration in solving the problem. Understanding the relationship between displacement, velocity, and period is crucial for finding the solution.
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Simple harmonic motion question!

Homework Statement


A mass undergoing simple harmonic motion has a displacement of X = 0.5 m and V = 4 m/s at one time and x=.25 and V = -8. what is the period of this oscillation?


Homework Equations


X(t) = Acos (wt + phi)
V(t) = -Awsin (wt + phi)


The Attempt at a Solution


 
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Hi i_heart_you! :smile:

(have a phi: φ and an omega: ω :wink:)

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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