The figure shows a uniform beam of these m provided at its b

The figure shows a uniform beam of these m provided at its browser end, with a horizontal spring attached between it\'s between its top and a vertical wall. The beam makes an angle theta with the horizontal.

Solution

sum the moments about the hinge

sigma M = (k d L sin theta) - (m g * 1/2 * L * cos theta ) = 0

(k d sin theta) - (m g * 1/2 * cos theta ) = 0

(k d sin theta) = (m g * 1/2 * cos theta )

d = (m g cos theta) / (2 k sin theta)

d = m g / 2 k tan theta

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F_x = k d

F_y = m g