Question

A thin uniform rod mass $m$ and length $L$ rotates with the constant angular velocity $\omega$ about the vertical axis passing through the rod's suspension point $O$. It describe a carried surface, Them:

• A. Centrifugal force acting on rod is $m\frac{L}{2}\sin \theta {\omega }^2$ and will pass through centre of mass
• B. Concritual force acting on rod is $m\frac{L}{2}\sin \theta {\omega }^2$ and will not pass through centre of mass
• C. $\theta ={\cos }^1\left(\frac{3g}{{2\omega }^{2}L}\right)$
• D. $\theta ={\cos }^1\left(\frac{g}{{\omega }^{2}L}\right)$

Answer 1

Answer: (B), (C)

The correct options are
B Concritual force acting on rod is $m\frac{L}{2}\sin \theta {\omega }^2$ and will not pass through centre of mass
C $\theta ={\cos }^1\left(\frac{3g}{{2\omega }^{2}L}\right)$