PLEASE DO QUESTION 2 AND THE EXTRA CREDIT FOR FULL POINTS!! THANK YOU We show he

Question

PLEASE DO QUESTION 2 AND THE EXTRA CREDIT FOR FULL POINTS!! THANK YOU

We show here a board of unknown mass held up by a rope exerting a force of 220 N, as shown. The board pivots on a hinge which is fixed to the floor. Find the mass of the board. You do not need to know the length of the board. Start with a FBD, and assume that gravity acts at the center of mass, in the middle of the board. (Answer: 57.0 kg.) (EXTRA CREDIT, ). In the previous problem, find the horizontal and vertical components of the force exerted by the hinge.

Explanation / Answer

2) Taking moment about the hinge...

220 * L = mg * cos 38 * L/2

so, mg = 220 * 2 / cos 38

So, m = 56.91 kg = 57 kg

3) Ry + 220 * cos 38 - 56.91 * 9.81 = 0

So, Ry = 384.93 N

Rx = - 220 * sin 38 = -135.44 N

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