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« previous |1 of 9 next » Problem 2.46 Part A If the magnitude of the resultant force acting on the bracket is 550 N, directed along the positive u axis, determine the magnitude of F1.(Figure 1) Express your answer to two significant figures and include the appropriate units. FiValue Units Submit My Answers Give Up Part B Determine the direction of F1 Express your answer to two significant figures and include the appropriate units. Figure 1 of 1 F2 = 650 N Value Units Submit My Answers Give Up 45° ide Feedba Continue 45° F3-500N

Explanation / Answer

Here,

for the net force Fnet

Fnet = F1 + F2 + F3

550 * (cos(45) i + sin(45) j) = F1 + 650 *(-0.6 i + 0.8 j) + 500 * (cos(45) i - j * sin(45))

solving for F1

F1 = 425.4 i + j 187.1

magnitude of F1 = sqrt(425.4^2 + 187.1^2)

magnitude of F1 = 464.7 N

the magnitude of F1 is 464.7 N

part B)

direction of F1 = arctan(187.1/425.4)

direction of F1 = 23.7 degree

the direction phi of F1 is 23.7 degree

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