Question

A bead of mass m is fitted on a rod and can move on it without friction. Initially the bead is at the middle of the rod and the rod moves translationaly up in a vertical plane with an acceleration $a_0$ in a direction forming an angle $\alpha$ with the horizontal plane. The acceleration of bead with respect to rod is

• A. $gsin\alpha$
• B. $(g+a_0)sin\alpha$
• C. $gsin\alpha +a_{0}cos\alpha$
• D. $gsin\alpha -a_{0}cos\alpha$

Answer 1

The correct option is C $gsin\alpha +a_{0}cos\alpha$




$mgsin\alpha +m{a}_{0}cos\alpha =ma\Rightarrow a=gsin\alpha +a_{0}cos\alpha$