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45.0° 45.0060.0N60.0 N

Question

 

a. What is the resultant force exerted by the two cables supporting the traffic light in the figure? Magnitude and direction are needed. Options for direction are left, right, up, or down. 

b. What is the weight of the light? In N. 

45.0° 45.00
60.0N
60.0 N
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45.0° 45.00 60.0N 60.0 N

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check_circleAnswer
Step 1

Given

Force in right cable (T1) = 60.0 N

Force in left cable (T2) = 60.0 N

Angles

450
e, =
= 45°
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450 e, = = 45°

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Step 2

Resolution of forces

The horizontal components of forces
T cos in right direction
T, cose, in left direction
The vertical components of forces
Tsin in upward direction
T, sin , in upward direction
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The horizontal components of forces T cos in right direction T, cose, in left direction The vertical components of forces Tsin in upward direction T, sin , in upward direction

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Step 3

The horizontal components of forces exerted by the two cable cancel out, vertical components are...

T Tsin T sin 0
Putting the values
60 sin 45 60sin 45°
T
T 60 60
V2
120
Т-
(direction up
T 84.86 N
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T Tsin T sin 0 Putting the values 60 sin 45 60sin 45° T T 60 60 V2 120 Т- (direction up T 84.86 N

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