Explanation Given: The angular velocity and position vector of link C B are shown in Figure (1). The velocity of rod A B is υ B = 60 ft/s . Angle θ = 30 ° . The radius of the link C B is r C B = 2.5 ft . Refer Figure (1): Write the expression in Cartesian vector form for velocity of C relative to B to calculate angular velocity ω B C . v C = v B + ω B C × r C / B (I). Write the equation for absolute velocity v B in Cartesian vector form for point B . v B = { − υ B i } ft/s (II). Write the equation for absolute velocity v C in Cartesian vector form for point C . v C = ( υ C j ) ft/s Write the angular velocity ω B C in Cartesian vector form. ω B C = − ω B C k Write the expression for relative position vector form C to B . r C / B = { − 2.5 cos 30 ° i + 2.5 sin 30 ° j } ft Conclusion: Substitute 60 ft/s for υ B in Equation (II)

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 16.5, Problem 11FP

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The angular velocity of link $BC$ .

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Chapter 16 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

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