Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN: 9781305652224
Author: Charles P. McKeague, Mark D. Turner
Publisher: Cengage Learning
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Question
Consider a wind velocity of 50 mi/h at an angle of 30° north of east.
North
30°
The magnitude of the vector is given: 50 mi/h
Pre-Lab Question #1: Find x and y components of this example using trigonometry
1-D velocity example. Bob is truck surfing. The truck is traveling at +20 m/s. Bob can throw a ball a
10m/s. If he throws it in the + direction, what is the speed of the ball as observed by a roadsid
observer?
This is a vector addition problem. Starting with
BallRelative ToEarthBallRelativeTo Truck T TruckRelaive ToEarth
-+10m/s +20m/s
=+30 m/s
Pre-Lab Question #2: What if he throws it in the'-'direction? Solve:
Three friends pull on a box in the directions shown below. What is the net force? Express
magnitude and angle direction relative to the x axis.
Solution: Again, first choose a suitable coordinate system.
120N the xy system shown.
Then write each force using x and y components
100N
60°
F3
20
F2
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Transcribed Image Text:Consider a wind velocity of 50 mi/h at an angle of 30° north of east. North 30° The magnitude of the vector is given: 50 mi/h Pre-Lab Question #1: Find x and y components of this example using trigonometry 1-D velocity example. Bob is truck surfing. The truck is traveling at +20 m/s. Bob can throw a ball a 10m/s. If he throws it in the + direction, what is the speed of the ball as observed by a roadsid observer? This is a vector addition problem. Starting with BallRelative ToEarthBallRelativeTo Truck T TruckRelaive ToEarth -+10m/s +20m/s =+30 m/s Pre-Lab Question #2: What if he throws it in the'-'direction? Solve: Three friends pull on a box in the directions shown below. What is the net force? Express magnitude and angle direction relative to the x axis. Solution: Again, first choose a suitable coordinate system. 120N the xy system shown. Then write each force using x and y components 100N 60° F3 20 F2
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