- #1

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- 6

- Homework Statement
- Find ##x_c(t=0)## for which the frequency on the block a is ##\frac{(3+\sqrt{4})}{2}## and the amplitude is ##\frac{(cos(3-\sqrt{7}t))}{2}##

The block B oscillate in pure sine.

All the blocks are at rest, thus ##v_a = v_b = v_c = 0##

- Relevant Equations
- ##x_a(t=0) = 6, x_b(t=0) =-6, x_c(t=0) = ?##

Hi,

First of all, I'm not sure at all how to start this question. I found the eigenvectors in a previous question, but I'm not sure if I need it to solve this one.

I think I need to use the expression for the position and velocity.

##a_n = C_n cos (\omega_n t + \alpha_n)##

##v_n = -\omega_n C_n sin (\omega_n t + \alpha_n)##

However, I don't how this can help me to find ##x_c(t=0)## for which the movement of the block A matches a frequency of ##\frac{(3+\sqrt{4})}{2}## and an amplitude ##\frac{(cos(3-\sqrt{7}t))}{2}##

First of all, I'm not sure at all how to start this question. I found the eigenvectors in a previous question, but I'm not sure if I need it to solve this one.

I think I need to use the expression for the position and velocity.

##a_n = C_n cos (\omega_n t + \alpha_n)##

##v_n = -\omega_n C_n sin (\omega_n t + \alpha_n)##

However, I don't how this can help me to find ##x_c(t=0)## for which the movement of the block A matches a frequency of ##\frac{(3+\sqrt{4})}{2}## and an amplitude ##\frac{(cos(3-\sqrt{7}t))}{2}##

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