- #1
jisbon
- 476
- 30
- Homework Statement
- There are two identical, uniform rods each of length 𝐿 and mass 𝑚 forming a
symmetrical T-shaped pendulum as shown.
The pendulum is released at some angle 𝜃 (less than 90D). Derive the angular velocity of the pendulum when the 𝜃 = 0.
- Relevant Equations
- -
So this question has something probably due to the conservation of angular momentum. I am able to find the moment of inertia about the pivot, which is :
$$\dfrac {1}{3}mL^{2}+\left( \dfrac {1}{12}ML^{2}+mL^{2}\right) =\dfrac {17}{12}ml^{2} $$
Now to find angular velocity when angle =0, how am I able to apply the conservation of angular momentum law without knowing the initial angular speed and angle? (even though they tell me to release less than 90 --> what does this imply in this case?)
Thanks