A uniform rod has mass

m_(r)

and rests on a cart, which has mass

m_(c)

and is being pulled to the rig as shown. The rod is hinged at one end (hinge is frictionless) and has no friction at the point of rod/cart contact. The cart is rolling on wheels that are modeled as having no mass and no bear friction (ideal massless wheels). Derive expressions for the force on the rod from the cart at poi

B

, and for the force on the rod from the cart at point A. Answer in terms of

g,m_(r),m_(c),\\\\theta

and

F

.

1) A uniform rod has mass mr and rests on a cart, which has mass mc and is being pulled to the rig as shown. The rod is hinged at one end (hinge is frictionless) and has no friction at the point of rod/cart contact. The cart is rolling on wheels that are modeled as having no mass and no bear friction (ideal massless wheels). Derive expressions for the force on the rod from the cart at poi B, and for the force on the rod from the cart at point A. Answer in terms of g,mr,mc, and F