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Problem 1: A shop sign weighing 25 kg is supported by a uniform 15.82 kg beam, as shown in the figure above on the left. The beam is supported by a tension T provided by a cable that makes an angle of 35° with the beam. (a) What is the tension T in the cable? Answer: 708.1 N. (b) What is N, the horizontal component of the force the hinge (or pivot) exerts on the beam? Answer: 580.0 N. (c) What is N,, the vertical component of the force the hinge (or pivot) exerts on the beam? Answer: 6.1 N downwards.

Problem 1: A shop sign weighing 25 kg is supported by a uniform 15.82 kg beam, as shown in the figure above on the left. The beam is supported by a tension T provided by a cable that makes an angle of 35° with the beam. (a) What is the tension T in the cable? Answer: 708.1 N. (b) What is N, the horizontal component of the force the hinge (or pivot) exerts on the beam? Answer: 580.0 N. (c) What is N,, the vertical component of the force the hinge (or pivot) exerts on the beam? Answer: 6.1 N downwards.

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35.0 1.35 m 1.70 m Problem 1: A shop sign weighing 25 kg is supported by a uniform 15.82 kg beam, as shown in the figure above on the left. The beam is supported by a tension T provided by a cable that makes an angle of 35° with the beam. (a) What is the tension T in the cable? Answer: 708.1 N. (b) What is N,, the horizontal component of the force the hinge (or pivot) exerts on the beam? Answer: 580.0 N. (c) What is Ny, the vertical component of the force the hinge (or pivot) exerts on the beam? Answer: 6.1 N downwards. Problem 2: A traffic light hangs from a pole, as shown in the figure above on the right. The uniform aluminum pole AB is 7.5 m long and has a mass of 12 kg. The mass of the traffic light is 21.5 kg. (a) What is the tension T in the horizontal cable CD? Answer: 425.1 N. (b) What is N, the horizontal component of the force the hinge (or pivot) at point A exerts on the pole? Answer: 425.1 N. (c) What is Ny, the vertical component of the force the hinge (or pivot) at point A exerts on the pole? Answer: 328.3 N.
Transcribed Image Text:35.0 1.35 m 1.70 m Problem 1: A shop sign weighing 25 kg is supported by a uniform 15.82 kg beam, as shown in the figure above on the left. The beam is supported by a tension T provided by a cable that makes an angle of 35° with the beam. (a) What is the tension T in the cable? Answer: 708.1 N. (b) What is N,, the horizontal component of the force the hinge (or pivot) exerts on the beam? Answer: 580.0 N. (c) What is Ny, the vertical component of the force the hinge (or pivot) exerts on the beam? Answer: 6.1 N downwards. Problem 2: A traffic light hangs from a pole, as shown in the figure above on the right. The uniform aluminum pole AB is 7.5 m long and has a mass of 12 kg. The mass of the traffic light is 21.5 kg. (a) What is the tension T in the horizontal cable CD? Answer: 425.1 N. (b) What is N, the horizontal component of the force the hinge (or pivot) at point A exerts on the pole? Answer: 425.1 N. (c) What is Ny, the vertical component of the force the hinge (or pivot) at point A exerts on the pole? Answer: 328.3 N.
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