An apple weighs . When you hang it from the end of a long spring of force constant and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (Because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)
What is the unstretched length of the spring (i.e., without the apple attached)?
Ive gone through it all 3 times with silghtly different approaches.
I got
L = 4w/k
every time, but that is not correct. I am not sure what I am doing wrong..
Omega_bounce = sqrt(k/m) = 2*pi*f_bounce….solved for frequency of bounce.
f_pendulum = (1/2) f_bounce …. Solved for f_pendulum
omega_pendulum = 2*pi*f_pendulum = sqrt(g / L)….solved for L
Any Suggestions?
2007-04-07
10:01:42
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2 answers
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asked by
Audrey B
1