Problem $1(15$ points$)$: The sliders A and B are connected by a light rigid bar and move

with negligible friction in the slots, both of which lie in a horizontal plane. For the position

shown, the velocity of A is $0\mathrm{.}4$ m$/$s to the right. Show that, at this instant, the magnitudes

of the accelerations of the sliders are $|$

$$aA$|=7\mathrm{.}95$ m$/$s$2$ and $|$

$$a B$|=8\mathrm{.}03$ m$/$s$2.$ Also, show

that, at this instant, the magnitudes of the forces applied by the bar to the sliders are

$|$

$$F A$|=|$

$$F B$|=25\mathrm{.}0$ N$.$ Hint: The bar acts like a string in tension in this problem.