As shown in the figure above, a thin horizontal bar AB of negligible weight and length L = 6.4 m is pinned to a vertical wall at A and supported at B by a thin wire BC that makes an angle θ = 32^o with the horizontal. A weight W = 300 N can be moved anywhere along the bar; its position is defined by the distance x from the wall to its center of mass.

As a function of x, find the tension in the wire, and the horizontal and vertical components of the force exerted on the bar by the pin at A.

If x = 2.98 m, what is the tension?

If x = 2.98 m, what is the magnitude of the horizontal component of the force exerted by the pin?

If x = 2.98 m, what is the magnitude of the vertical component of the force exerted by the pin?