A block of mass $M$ is constrained by rollers to motion in the $x$ direction. A small mass $m$ is

attached at point $B$ to the end of massless rigid arm. The other end of the arm is attached at a

point A which is fixed to the cart. Together the arm and mass make up a rotor which rotates about

an axis fixed at $A$ to the cart. The angle the arm makes with a horizontal reference passing through

A is given by $=t.$ The length of the arm is $"e",$ the distance from A to B$.$ The position of the

cart in the inertial frame is given by the coordinate xvec$().$ Find the horizontal component of the force

on the mass $M$ exerted by rod $AB$ at $t=2s.(M=2,m=2(kg),=4(\frac{\text{r}\text{a}\text{d}}{s}),e=2)$