- #1
meep82817
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Homework Statement
A block with mass m =7 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.23 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.7 m/s. The block oscillates on the spring without friction.
2. Questions
After t = 0.36 s what is the speed of the block?
What is the magnitude of the maximum acceleration of the block?
At t = 0.36 s what is the magnitude of the net force on the block?
3. Equations and the attempt at a solution
I calculated k by m*g/x
w by sqrt(k/m)
A by V*sqrt(m/k) (based on energy)
For speed, I used v(t) = -w*A*sin(w*t)
For acceleration, I used amax = wˆ2*A
For force, I used F(t) = k*A*sin(w*t)
I get the feeling my mistake is on my calculation for A. Help please? I've been working on this for a while and am starting to get frustrated.
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