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Social ScienceP 8.19A 500 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,6.00 m long, uniform, 100 N rod as indicated in the following figure. The left end of the rod issupported by a hinge, and the right end is supported by a thin cable making a 30.0° angle withthe vertical. (a) Find the tension T in the cable. (b) Find the horizontal and vertical componentsof force exerted on the left end of the rod by the hinge.T30.00100N(e0omICE CREAMSHOPG0ON3.00m400m P 8.19A 500 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,6.00 m long, uniform, 100 N rod as indicated in the following figure. The left end of the rod issupported by a hinge, and the right end is supported by a thin cable making a 30.0° angle withthe vertical. (a) Find the tension T in the cable. (b) Find the horizontal and vertical componentsof force exerted on the left end of the rod by the hinge.Т30.00100NlOodICE CREAMSHOPG0ON3.00m400 m
Can you help me on both part a and b?
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P 8.19 A 500 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00 m long, uniform, 100 N rod as indicated in the following figure. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (a) Find the tension T in the cable. (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. T 30.00 100N (e0om ICE CREAM SHOP G0ON 3.00m 400m
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P 8.19 A 500 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00 m long, uniform, 100 N rod as indicated in the following figure. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (a) Find the tension T in the cable. (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. Т 30.00 100N lOod ICE CREAM SHOP G0ON 3.00m 400 m
Expert Answer
Given information about the scenario.
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1, = 4.00 m ,6.00 m W 500 N W 100 N
Here, ls and lr are the length of sign board and rod respectively and Ws and Wr are the weight of the sign board and rod respectively.
Consider the FBD given below.
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30 Tcoe Fix Tsing
Here, T is the tension in the cable and FH is the reaction force on the hinge.
a)
Take the moment about the hinge point by considering clockwise direction as ...
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ΣΜ=0 -T cos 30°()+W, (1.) = 0 2 .....1)
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