Explanation Given information: Angular velocity, ω A B = 12 r a d / s Angular acceleration, α A B = 80 r a d / s 2 Friction effect is neglecting. Acceleration normal component of point B, a B , n = r A B ω A B 2 Here, crank AB length, r A B = 3 i n a B , n = 3 × 12 2 = 432 i n . / s 2 = 432 i n . / s 2 × | 1 f t 12 i n . | = 36 f t / s 2 Acceleration tangential component of point B , a B , t = r A B α A B α A B = 80 r a d / s 2 a B , t = 3 × 80 = 240 i n . / s 2 = 240 i n . / s 2 × | 1 f t 12 i n . | = 20 f t / s 2 Point B velocity, v B = r A B ω A B v B = 3 × 12 = 36 i n . / s = 36 i n . / s × | 1 f t 12 i n . | = 3 f t / s Rod AB angular velocity, v B = r B C ω B D Here, r B C = Distance between B and C. r B C = 6 i n . ω B D = Rod BD angular velocity ∴ 3 f t / s = [ 6 i n . × | 1 f t 12 i n . | ] × ω B D ω B D = 6 r a d / s Rod BD length, r B D 2 = r B C 2 + r C D 2 Here, r B C = 6 i n . r C D = 8 i n . r B D 2 = 6 2 + 8 2 r B D = 100 = 10 i n . Point D acceleration, a D = a B + a D / B = a B + ( a D / B , n + a D / B , t ) Acceleration a D / B , n normal component a D / B , n = r B D ω B D 2 r B D = 10 i n . ω B D = 6 f t / s a D / B , n = 10 × 6 2 = 360 i n . / s 2 = 360 i n . / s 2 × | 1 f t 12 i n . | = 30 f t / s 2 Acceleration a D / B , t tangential component, a D / B , t = r B D α B D r B D = 10 i n . a D / B , t = ( 10 i n . × | 1 f t 12 i n . | ) α B D = 0.8333 α B D Applying X-direction equilibrium condition, − a B , t − ( 4 5 ) ( a D / B , n ) + ( 3 5 ) ( a D / B , t ) = 0 Here, a B , t = 20 f t / s 2 a D / B , n = 30 f t / s 2 a D / B , t = 0

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ISBN: 9781259977237

Author: BEER

Publisher: MCG

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When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Chapter 16.2, Problem 16.126P

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The reaction at point D.

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Chapter 16.2, Problem 16.125P

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The reaction at point D.

Solution Summary: The author explains that the reaction at point D is, R_D=7.1lb.

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The reaction at point D.

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