A sign (m. = 500 g) hangs from a horizontal beam (length L = 3m and mass mi, = 1.5 kg) as shown in the diagram. You are told the following angles: a = 45°, 8= 30° and 9 = 36.9⁰. (a) Draw free body diagrams for the sign and the beam. (b) Find the tension in each of the strings. Ans: 17.8 N. (c) Find the magnitude of the force of the beam on the hinge. Ans: Fbh = (-14.2î - 8.93) N. (d) In which direction is the force of the beam on the hinge directed? Ans: 212°. 22 T3 T₁ 0 Sign T₂
A sign (m. = 500 g) hangs from a horizontal beam (length L = 3m and mass mi, = 1.5 kg) as shown in the diagram. You are told the following angles: a = 45°, 8= 30° and 9 = 36.9⁰. (a) Draw free body diagrams for the sign and the beam. (b) Find the tension in each of the strings. Ans: 17.8 N. (c) Find the magnitude of the force of the beam on the hinge. Ans: Fbh = (-14.2î - 8.93) N. (d) In which direction is the force of the beam on the hinge directed? Ans: 212°. 22 T3 T₁ 0 Sign T₂
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Transcribed Image Text:A sign (m, 500 g) hangs from a
horizontal beam (length L = 3 m and mass mb
1.5 kg) as shown in the diagram. You are told the
following angles: a = 45°, 8= 30° and 9 = 36.9º.
(a) Draw free body diagrams for the sign and the
beam.
(b) Find the tension in each of the strings.
Ans: 17.8 N.
(c) Find the magnitude of the force of the beam on
the hinge.
Ans: Fbh=(-14.2î - 8.9ĵ) N.
(d) In which direction is the force of the beam on
the hinge directed?
Ans: 212°.
E2
T3
T₁
a
0
Sign
T₂
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