# squared property of parabola

## Rotation - Rotating Vessel

When at rest, the surface of mass of liquid is horizontal at PQ as shown in the figure. When this mass of liquid is rotated about a vertical axis at constant angular velocity ω radian per second, it will assume the surface ABC which is parabolic. Every particle is subjected to centripetal force or centrifugal force CF = mω^{2}x which produces centripetal acceleration towards the center of rotation. Other forces that acts are gravity force W = mg and normal force N.

## Problem 706 | Solution of Propped Beam with Decreasing Load

## Problem 705 | Solution of Propped Beam with Increasing Load

**Problem 705**

Find the reaction at the simple support of the propped beam shown in Fig. P-705 and sketch the shear and moment diagrams.