Problem $-$ Assignment

A simply supported beam of span I supports

a concentrated weight $\text{'}w\text{'}$ at it's midspan. Its

natural circular frequency is given as $27\mathrm{.}88$

$ra\frac{d}{sec}.$ If the midspan of the beam is

displaced downwards through a distance of $2$

units and suddenly released with an upward

velocity of $3\frac{m}{sec}.$

Determine Natural frequency in hertz and

time period

Maximum midspan displacement, velocity

and acceleration

Phase angle