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$(i).$ Find the horizontal component of the force on the mass $M$ exerted by rod $AB$ at $t=2s.$

M$=6kg,m=2kg$

$=12(\frac{\text{r}\text{a}\text{d}}{s}),e=2$

$Q=24$