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Chapter 09, Problem 21 GO The drawing shows a uniform horizontal beam attached t

ID: 1864329 • Letter: C

Question

Chapter 09, Problem 21 GO The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 6 -43° by a brace that is attached to a pin. The beam has a weight of 334 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the rnight end of the beam that isdirected upward at the angle ? with respect to the horizontal. The hinge applies a force to the left end of the beam, that has a horizontal component ? and a vertical component V. Find the magnitudes of these three forces. Beam Pin Brace (a) V = (b)P (c) H- GO TUTORIAL LINK TO TEXT LINK TO TEXT SAVE FOR LATER Question Attempts: 0 of 10 used 8

Explanation / Answer

weight of beam=334 N

the vertical component of brace force will be equal to 334/2=167 N

Psin43=167

P=244.87 N

horizontal component of force by hinge on beam=Pcos43=H=179.08 N

vertical component of force by hinge on beam = 334/2=V=167 N

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