Solving SHM Kinematics: Find the Period!

AI Thread Summary
The discussion focuses on solving a problem related to simple harmonic motion (SHM) kinematics, specifically finding the period of a 1 kg block oscillating on a spring with a spring constant of 20 N/m. The user initially struggles with the problem but correctly calculates the period using the formula T = 2π√(m/k), arriving at a value of 1.40 seconds. They express confusion about other variables but ultimately realize they were not clear on what they were solving for. The thread highlights the importance of understanding SHM concepts and formulas in solving related problems effectively. The user’s eventual realization emphasizes the need for clarity in problem-solving approaches.
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Hi there I'm having a little trouble doing problems with SHM kinematics. I think its because I have yet to find a good method of solving them. I'll post one and show what I can do. Them I hope somone can help me find a good method to solving it.A 1 kg block oscillates on a spring with k= 20 N/m. At t= 0s the block is 20cm to the right of equilibrium. and moving to the left with v= -100cm/s.
What is the Period?All I can figure out is that \phi_0 = \cos^{-1} (\frac{x_0}{A})

And that T= 2\pi \sqrt{\frac{m}{k}} = 1.40s

Any hints at all? I can't seem to find any expression for the other variables that'll help, but maybe I'm forgetting some. Any help?
 
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WAIIIIIIIIIT A MINUTE I SOLVED THIS I forgot what i was solveing for sry!
 

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