Question

A uniform bar of mass mis pivoted at O and supported at the ends by two springs as shown in the

figure below. End P of the spring PQ is subjected to a sinusoidal displacement x(t) = x, sinwt.

Given: 1=1m, k=1000N/m, c=500N-s/m,m=10kg, x, = 1cm, and w= 10rad/s. In

addition,

5. What is the frequency of the steady-state output in rad/s?

6. What is the steady-state amplitude in radians?

7. Determine the steady-state amplitude if c = 0 and compare this value to the one determined

with damping.

8. For the case when there is damping, c ≠ 0, what is the phase angle ∅ if the displacement is

of the form A* sin(wt+∅)?

Question image 1