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.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

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Asked Oct 24, 2019
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Can you help me on both part a and b?

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. 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
help_outline

Image Transcriptionclose

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

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Expert Answer

Step 1

Given information about the scenario.

1, = 4.00 m
,6.00 m
W 500 N
W 100 N
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1, = 4.00 m ,6.00 m W 500 N W 100 N

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Step 2

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.

30
Tcoe
Fix
Tsing
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30 Tcoe Fix Tsing

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Step 3

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 ...

ΣΜ=0
-T cos 30°()+W, (1.) = 0
2
.....1)
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ΣΜ=0 -T cos 30°()+W, (1.) = 0 2 .....1)

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