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Lecture_1-Scalar_and_Vector

# Lecture_1-Scalar_and_Vector - 100 2 2 = R 213 N Solution...

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Force Vectors (Review) Lecture 1-Scalar and Vector (Sections 2.1-2.3)

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Learning Objectives Be able to differentiate between Scalar and Vector  quantities. Be able to list examples of Scalar and Vector  quantities. Be able to perform vector operations (e.g.  addition, subtraction…) Be able to resolve forces into their respective  components using the sine and cosine law .
Pre-requisite Knowledge Units of measurements. Sine and Cosine Rule. Definitions of sine, cosine and tangent. Trigonometry concepts

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Practice Problem 1-Resolution of Vectors Determine the resultant vector?
Solution 1 10 o 15 o 100 N   150 N 90-(10+15) = 65 o 180-65 = 115 o R A B C D Θ Determine R and  Θ

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Solution 1– Contd. 10 o 15 o 100 N   150 N 90-(10+15) = 65 o 180-65 = 115 o R A B C D Focus on  ADC R Θ 115 o 150 N 100 N
Solution 1– Contd. A C D R Θ 115 o 150 N 100 N   ( 29 ( 29 ( 29 115 cos 150 100 2 150

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Unformatted text preview: ) 100 ( 2 2-+ = R 213 N Solution 1– Contd. A C D Θ 115 o 150 N 100 N 213 N R = 213 N AD = 100 N DC = 150 N o 66 . 39 ) 63824 . ( sin 63824 . 115 sin 213 150 sin ; 115 sin 213 sin 150 1 = = Θ = • = Θ = Θ-How do you determine Θ ? Practice Problem 2 Assume θ = 15 o Determine magnitude of the towing forces F A and F B F R = 10kN Solution 2 A B C D F A F B F R = 10 kN 30 o 15 o β α What is the magnitude of α ? 15 o What is the magnitude of β ? 180-(30+15) = 135 o Solution 2-Contd. A B C D F A F B F R = 10 kN 30 o 15 o β α Focus on ∆ ABC F B F R = 10 kN 15 o 115 o Solution 2-Contd. A B C F A 30 o F B F R = 10 kN 15 o 135 o kN F F A A 66 . 3 135 sin 10 15 sin = ∴ = kN F F B B 07 . 7 135 sin 10 30 sin = ∴ =...
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Lecture_1-Scalar_and_Vector - 100 2 2 = R 213 N Solution...

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