If anyone could help me with this problem I would greatly appreciate it! I\'ve f
ID: 1373910 • Letter: I
Question
If anyone could help me with this problem I would greatly appreciate it! I've figured out parts A & B but have been unable to solve part C. For the original x(t) equation @ time of impact x(t)=Acos(wt+phi) I set t=0 and solved with phi=arctan(x/A) and subtracted 90 degrees. However, this doesn't get me the right answer. I'd appreciate any help with figuring out what I'm doing wrong! Thank you!
PROBLEM:
A 1.2 kg block rests on a frictionless surface and is attached to a horizontal spring of constant k = 24 N/m. The block is oscillating with amplitude 15 cm and with phase constant phi = -?/2. A block of mass 0.80 kg is moving from the right at 1.7 m/s. It strikes the first block when the latter is at the rightmost point in its oscillation. The collision is completely inelastic, and the two blocks stick together.
A) Determine the frequency of the resulting oscillation: .55HZ (done)
B) Determine the aplitude of the resulting motion: 24.7cm (done)
C) Determine the phase constant (relative to the original t = 0) of the resulting motion. _____ rad (need help with this piece!)
If anyone could help me with this problem I would greatly appreciate it! I've figured out parts A & B but have been unable to solve part C. For the original x(t) equation @ time of impact x(t)=Acos(wt+phi) I set t=0 and solved with phi=arctan(x/A) and subtracted 90 degrees. However, this doesn't get me the right answer. I'd appreciate any help with figuring out what I'm doing wrong! Thank you! PROBLEM: A 1.2 kg block rests on a frictionless surface and is attached to a horizontal spring of constant k = 24 N/m. The block is oscillating with amplitude 15 cm and with phase constant phi = -?/2. A block of mass 0.80 kg is moving from the right at 1.7 m/s. It strikes the first block when the latter is at the rightmost point in its oscillation. The collision is completely inelastic, and the two blocks stick together. A) Determine the frequency of the resulting oscillation: .55HZ (done) B) Determine the aplitude of the resulting motion: 24.7cm (done) C) Determine the phase constant (relative to the original t = 0) of the resulting motion. _____ rad (need help with this piece!)Explanation / Answer
Solving for
=tan 1 [v(t )/(x(t ))]t
=tan 1 [68/(3.39×10)]69.7 =6.20 =0.108radians.
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