$($text H$5)$: A simple pendulum is made by tying a block to a string and pulling the block sideways by a horizontal force, vec$(P),$ as in the diagram shown. The block has a weight of $2\mathrm{.}40N.$ vec$(P)$ pulls the block until the string makes an angle $=53\mathrm{.}1$ with the horizontal. The block is in static equilibrium. $($hint: you will need a FBD and there are three forces acting on a$)$

a$)$ Calculate the magnitude of the tension force in the string.

b$)$ Calculate the magnitude of force $P$

c$)$ Confirm your answers with a diagram to scale $($i$.$e$.$ tip$-$to$-$tail$).$

$($Ans: $3\mathrm{.}00N,1\mathrm{.}80N)$