Problem 9.18 Express your answer to three significant figures and include the ap

Question

Problem 9.18 Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left. A shop sign weighing 215 N hangs from the end of a uniform 165-N beam as shown in (Figure 1) FH535 N Submit My Answers Give Up Correct Part C Figure 1 Find the vertical force exerted by the hinge on the beam at the wall Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. 35.0 y9.26 N 1.35 m - 1.70 m Submit My Answers Give Up Paul's Incorrect; Try Again; 2 attempts remaining Auto Repair rovide Feedback Continue

Explanation / Answer

Let tension in the string be T
Let the force exerted by the hinge on the beam at the wall be F

Sigma Fx = 0
Fx - T cos35 = 0
Fx = Tcos35

Sigma Fy =0
Fy + Tsin35 -165 - 215 = 0

Fy = 380 - Tsin35

Clockwise torque = 165*0.85 + 215*1.7 = 505.75 Nm

Anticlockwise torque = Ty*1.35 = Tsin35*1.35

505.75 - Tsin35*1.35 = 0
T = 653.147 N

Fy = 380 - Tsin35
Fy = 380 - 653.147*sin35
Fy = 5.37 N

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