The answer gives me this error: "Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error."
dy/dt=cos(t), d2y/dt2=-sin(t)?
Thank you for your help thus far, but it's 4AM over here in the EST timezone, so I must go to bed. I will check back on this thread in five hours or so.
Homework Statement
A 250 gram mass is connected to a spring and executes simple harmonic motion. The period of motion is 0.5 seconds and the total mechanical energy is 0.50J. What is the amplitude of motion?
Homework Equations
ΔU = 1/2kx2
The Attempt at a Solution
I get
1/2kx2 =...
Okay, I've tried part B of the question and this is what I've done so far.
Kfinal = 1/2Iω2
Kinitial = 1/2mv2
I divided both of those to get (Iω2)/(mvinitial)
Calculating that further, and I get this:
I'm guessing that it's not Kfinal/Kinitial, but (Kinitial - Kfinal)/Kfinal?
EDIT: Okay, I...
Oh okay, I thought r was supposed to be the distance between the rotation point and the end of the rod.
I got the right answer of ω = (mvi)/(1/6Md+1/2md)
Thanks for your help!
[SOVLED] Angular speed of rod after projectile collides into it
Homework Statement
Homework Equations
L = r x p
Iparallel = ICM + md2
The Attempt at a Solution
L = r x p = mvir = mvid/2
mvi(d/2) = (Iparallel + md2)ω
mvi(d/2) = (1/12M(d/2)^2 + m(d/2)^2)ω
Plugging and solving...