Equilibrium Of A Rigid Body Moments & Center Of Gravity

2019:

The initial angular acceleration of the rod is

$$\alpha = \frac{g}{l}$$

where $g$ is the acceleration due to gravity and $l$ is the length of the rod.

2018:

The speed of the end of the rod when it hits the vertical position is

$$v = \sqrt{2gl}$$

where $g$ is the acceleration due to gravity and $l$ is the length of the rod.

2017:

The angular velocity of the rod when it makes an angle $\theta$ with the vertical is

$$\omega = \sqrt{\frac{g}{l}(1 - \cos \theta)}$$

where $g$ is the acceleration due to gravity and $l$ is the length of the rod.

2016:

The maximum angular velocity of the rod is achieved when the centripetal force equals the gravitational force.

$$\omega = \sqrt{\frac{g}{l}}$$

where $g$ is the acceleration due to gravity and $l$ is the length of the rod.