- #1

garethLovell

- 3

- 2

- Homework Statement
- University 3rd year mechanics problem

- Relevant Equations
- equations of motion (Sum of Moments = Inertia x angular acceleration)

ma + kx = 0 (a = x (double dot))

m * (theta double dot) + k * (theta) = 0

This is the problem I am working on at the moment. The question states that the bar is at rest in this state. At a 60 degree angle to the horizontal and supported by the vertical spring at B.

Small oscillations are introduced and I am required to find the equation of motion and the natural frequency.

omega(n) = squareroot(k/m)

I have a image of the progress I have made so far. I am a little muddled because I am not sure if, that by the bar being at rest at this angle, if the deflected angle (theta) is added to the 60 or if theta is treated as the whole angle.

am I close to the right track or way off?

regards,

gareth

Small oscillations are introduced and I am required to find the equation of motion and the natural frequency.

omega(n) = squareroot(k/m)

I have a image of the progress I have made so far. I am a little muddled because I am not sure if, that by the bar being at rest at this angle, if the deflected angle (theta) is added to the 60 or if theta is treated as the whole angle.

am I close to the right track or way off?

regards,

gareth