Explanation Given information: θ ˙ = ω The acceleration in radial and transverse components, a = a r e r + a θ e θ = ( r ¨ − r θ ˙ 2 ) e r + ( r θ ¨ + 2 r ˙ θ ˙ ) e θ The magnitude of acceleration is defined as, a 2 = a r 2 + a θ 2 Calculation: According to given information, r = b θ 2 θ ˙ = ω Differentiate, r ˙ = − 2 b θ ˙ θ 3 r ¨ = − 2 b θ ¨ θ 3 + 6 b θ ˙ 2 θ 4 θ ¨ = 0 Therefore, according to explanation, a r = r ¨ − r θ ˙ 2 = [ − 2 b θ ¨ θ 3 + 6 b θ ˙ 2 θ 4 ] − ( b θ 2 ) θ ˙ 2 = b θ 4 ( − 2 θ θ ¨ + 6 θ ˙ 2 − θ

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ISBN: 9781260265521

Author: BEER

Publisher: MCG

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Chapter 11.5, Problem 11.176P

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The magnitude of acceleration in terms of b,θ˙,θ.

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Chapter 11.5, Problem 11.175P

Chapter 11.5, Problem 11.177P

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The magnitude of acceleration in terms of b , θ ˙ , θ .

Solution Summary: The author explains the magnitude of acceleration in radial and transverse components.

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