A beam with a length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board

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Chapter1: Units, Trigonometry. And Vectors
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A beam with a length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board

A. In order to find the tension in the string, which point should we
select to write Tmet = 0?
a. Top left end of the beam.
b. Point where wire is connected to the beam.
c. Middle of the beam (where mg acts).
d. Bottom right end of the beam.
B. Use the point you identified in A to calculate the tension in the
string.
c. Use the free body diagram above to write down Newton's 2nd law
for both x and y directions.
D. Use the equations you wrote in C|to find the horizontal and vertical components of the force that the hinge exerts on the
beam.
E. Suppose the maximum tension that the wire can withstand is 1500 N. What is the maximum load that the hinge can
support before the wire breaks?
Transcribed Image Text:A. In order to find the tension in the string, which point should we select to write Tmet = 0? a. Top left end of the beam. b. Point where wire is connected to the beam. c. Middle of the beam (where mg acts). d. Bottom right end of the beam. B. Use the point you identified in A to calculate the tension in the string. c. Use the free body diagram above to write down Newton's 2nd law for both x and y directions. D. Use the equations you wrote in C|to find the horizontal and vertical components of the force that the hinge exerts on the beam. E. Suppose the maximum tension that the wire can withstand is 1500 N. What is the maximum load that the hinge can support before the wire breaks?
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