Question $1.$

$[20$ marks$]$

$($a$)$

$[10$ Marks$]$

A string $\backslash ($ A B C $\backslash )$ of length $50$ cm is tied to two points $\backslash ($ A $\backslash )$ and $\backslash ($ C $\backslash )$ at the same level. A smooth ring of weight $500$ N which can slide along the string is at $\backslash ($ B$,30\backslash$mathrm$\{$~cm$\}\backslash )$ away from $\backslash ($ A $\backslash )$ along the string and pulled by a horizontal force $\backslash ($ P $\backslash )$ as shown in Figure $\backslash ($ Q $1\backslash )$ a$.$ If point $\backslash ($ B $\backslash )$ is $15$ cm below the level of $\backslash ($ A C $\backslash ),$ determine the magnitude of force $\backslash ($ P $\backslash ).$ it may be presented that tensions in the string on both sides of $\backslash ($ B $\backslash )$ are same. Question $1.$

$[20$ marks$]$

$($a$)$

$[10$ Marks$]$

A string $\backslash ($ A B C $\backslash )$ of length $50$ cm is tied to two points $\backslash ($ A $\backslash )$ and $\backslash ($ C $\backslash )$ at the same level. A smooth ring of weight $500$ N which can slide along the string is at $\backslash ($ B$,30\backslash$mathrm$\{$~cm$\}\backslash )$ away from $\backslash ($ A $\backslash )$ along the string and pulled by a horizontal force $\backslash ($ P $\backslash )$ as shown in Figure $\backslash ($ Q $1\backslash )$ a$.$ If point $\backslash ($ B $\backslash )$ is $15$ cm below the level of $\backslash ($ A C $\backslash ),$ determine the magnitude of force $\backslash ($ P $\backslash ).$ it may be presented that tensions in the string on both sides of $\backslash ($ B $\backslash )$ are same.