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Get Full Access to Engineering Mechanics: Statics & Dynamics - 14 Edition - Chapter 12 - Problem 12-159
Get Full Access to Engineering Mechanics: Statics & Dynamics - 14 Edition - Chapter 12 - Problem 12-159

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The small washer is sliding down the cord OA. When it is

ISBN: 9780133951929 123

Solution for problem 12-159 Chapter 12

Engineering Mechanics: Statics & Dynamics | 14th Edition

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Problem 12-159

The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 28 m>s and its acceleration is 7 m>s2. Express the velocity and acceleration of the washer at this point in terms of its cylindrical components

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Step 1 of 3

⃗1⃗⃗2⃗⃗ ,⃗⃗⃗ ) 1 3 −1 − 2 ⃗⃗⃗⃗ = [ ⃗⃗⃗ = [ ],⃗⃗⃗ = [ ] ⃗⃗⃗⃗⃗⃗⃗⃗⃗⃗ ) 1 1 2 2 3 7 1 2 3 1 1 2 ⃗1⃗⃗ ⃗2⃗⃗ ⃗2⃗⃗ ⃗3⃗ ⃗1⃗⃗ ⃗⃗3⃗  = {⃗⃗1⃗⃗2⃗⃗ ,⃗⃗⃗ } ⃗⃗ ≠ 0,∀ 1⃗⃗⃗2⃗ ,…⃗⃗⃗ ) 3 −1 −1 2 {[1],[ 2 ],[ 2 ]} [ 1 ] 1 1 1 −1 = 1 1⃗ + 2 2⃗ + 3 3⃗⃗ 1 < < 3 ) .⃗⃗ = 2 | | 1,2 3 1 0 0 {[0],[1],[ 0} 0 0 1 1 1 √3 √2 1 = √3 0 1 1 [ − ] √3 √2 . = [ 1 0 ] 0 1 1 1 1 −1 = [√3 √ 3 √3 ] 1 0 − 1 √2 √2 = ̂ + ̂ ⊥ ⃗1⃗⃗2⃗⃗ ,⃗⃗ } .⃗1⃗ .⃗⃗2⃗ .⃗⃗ ̂ = 2⃗1⃗⃗ + 22⃗⃗ + ⋯+ 2 ⃗⃗ | ⃗1⃗ | | ⃗2⃗ | |⃗⃗ | = − ̂ = 1 [ 2 ] 3

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