- #1

utkarshakash

Gold Member

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## Homework Statement

A rod of mass m and length l is hinged about its end A and is vertical initially. Now the end A is accelerated horizontally with acceleration a=g m/s^2. The hinge reaction when the rod becomes horizontal is ?

## Homework Equations

See the attached picture for relevant diagrams.

## The Attempt at a Solution

When viewed from the frame of the hinge, the rod experiences a pseudo force = ma. Since the rod undergoes circular motion about the hinge A,

[itex]R_x - ma = m \omega ^2 l [/itex]

where omega is the angular velocity of the rod when it becomes horizontal. Now I don't know what to write regarding the vertical forces. I'm sure they do not balance each other. Also how do I find omega at the instant?