## Parallel Axis Thereom to find angular velocity

1. The problem statement, all variables and given/known data
A meter stick is freely pivoted about a horizontal axis at the 94.7 cm mark. Find the (angular) frequency of small oscillations, in rad/s

2. Relevant equations
I=Icm+md^2
$\Sigma$ $\tau$=I $\alpha$
mg*sin($\Theta$)=-I(d^2$\Theta$/dt^2)
3. The attempt at a solution
 Hi, The torque equation you wrote should be: -mgd*sin$\theta$=Id^2$\theta$/dt^2 (you forgot the 'd' on the left-side.) For small angles, sin$\theta$$\approx$$\theta$ The torque equation can then be rewritten as: -(mgd*$\theta$)/I=d^2$\theta$/dt^2 This is a common differential equation that arises in physics, and it describes a type of oscillatory motion known as "simple harmonic motion". The period is: T=2$\pi$*$\sqrt{I/mgd}$ The angular frequency can be easily found from here.