What Are the Amplitude and Period of the Mass-Spring System?

AI Thread Summary
The discussion focuses on determining the amplitude and period of a mass-spring system with a spring constant of 74 N/m and a 490g mass. The equation F = -kx is referenced to analyze the system's motion, and the user seeks to solve for amplitude (A) while eliminating the time variable (t). It is suggested to find the angular frequency (ω) using the formula ω = sqrt(k/m) and to consider that at maximum displacement, the velocity is zero. This approach will help in calculating the amplitude and period of the oscillation. The conversation emphasizes the relationship between force, displacement, and motion in a mass-spring system.
teenholiday
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A massless sping of spring constant k=74 N/m is hanging from the ceiling. A 490g mass is hooked onto the unstretched spring and allowed to drop. Find the amplitude and the period of the resulting motion.

Attempt:
F= -kx

x= A cos (wt)
w = sqrt(k/m) t

I'm trying to solve for A, but how do I get rid of the t variable?


Thanks
 
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Find \omega and you could use the fact that at max displacement from the equilibrium posistion, velocty=0.
 
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