A ruler stands vertically against a wall. It is given a tiny impulse at θ=0∘ such that it starts falling down under the influence of gravity. You can consider that the initial angular velocity is very small so that ω(θ=0∘)=0. The ruler has mass m= 250 g and length l= 25 cm. Use g=10 m/s2 for the gravitational acceleration, and the ruler has a uniform mass distribution. Note that there is no friction whatsoever in this problem.
(a) What is the angular speed of the ruler ω when it is at an angle θ=30∘? (in radians/sec)
The angle is from the vertical.
I'm not sure on which method to use. I was thinking either conservation of energy or using the centre of mass equations.
The Attempt at a Solution
Various attempts that have not yielded correct answers.