Driven spring problem

[member 731016]

Homework Statement

Please see below

Relevant Equations

Please see below

For this problem,

For part(a), I am not sure if I am solving it correctly. I define the usual cartesian x-y coordinate system at the base of the wall. This gives $x = l_0 + q(t) + x_w(t) = l_0 + q(t) + d\sin(\gamma t)$ which implies that $\dot x = \dot q + d \gamma \cos (\gamma t)$

Therefore $L = T - V = \frac{1}{2}m(\dot q + d \gamma \cos (\gamma t))^2 - 0.5kq^2$.

Is this please correct?

Thanks!

 

[TSny]

For part(a), I am not sure if I am solving it correctly. I define the usual cartesian x-y coordinate system at the base of the wall. This gives $x = l_0 + q(t) + x_w(t) = l_0 + q(t) + d\sin(\gamma t)$ which implies that $\dot x = \dot q + d \gamma \cos (\gamma t)$

Therefore $L = T - V = \frac{1}{2}m(\dot q + d \gamma \cos (\gamma t))^2 - 0.5kq^2$.

Is this please correct?

Thanks!

Yes, it looks correct.