As seen in the figure, a thin horizontal bar AB of negligible weight and length

Question

As seen in the figure, a thin horizontal bar AB of negligible weight and length L = 10.5 m is pinned to a vertical wall at A and supported at B by a thin wire BC that makes an angle θ = 36 ° with the horizontal. A weight W =390 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.

A)What are the values for x = 4.73 m? Tension?

B)Horizontal component by pin?

C)Vertical component by pin?

Explanation / Answer

Tsin(theta)*L=mg*x

so

T=63.2x Newton

Nx=Tcos(theta)=51.13x Newton

Ny=mg-Tsin(theta)=390-37.15x Newton

at x=4.73,

T=298.9N,

Nx=241.85N,

Ny=214.28N

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