a-diving-board-of-uniform-density-has-a-mass-m-and-length-l-fixed-at-one-end-to-

Question

A diving board of uniform density has a mass M and length L, is fixed at one end to the pool deck. It is supported by a wire at the other end, which is attached to a point on the deck making an angle $θ$ with the horizontal. A diver of mass m walks to the end of the board, which is a distance x from the fixed end. Determine, as a function of x, the tension in the wire required to keep the board level.

Illustration of a diver on a beam at angle θ, showing forces and distances x and L.

Accepted Answer

$\frac{g}{\sin \ heta }\left(\frac{mx}{L}+\frac{M}{2} ight)$

Answer

$\frac{g}{\sin \ heta }\left(\frac{mx}{L}+\frac{M}{2} ight)$

Answer

$\frac{g}{\sin \ heta }\left(\frac{mx}{L}+\frac{M}{2} ight)$

Answer

$\frac{g}{\sin \ heta }\left(\frac{mx}{L}+\frac{M}{2} ight)$