Exam 3 - Winter 2015.pdf - ME 230 Kinematics and Dynamics...

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ME 230 – Kinematics and Dynamics Winter Quarter 2015, Final Exam 3/19/15, 8:30 am – 10:20 am ( Please justify your work and demonstrate your understanding of the subject matter in order to receive the full credit.) 1 2 3 Total Name: __________________________ Student No.: _____________________ Section No.: _____________________
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1. (35%) At the instant shown, rod ࠵?࠵? has an angular velocity ࠵? !" = 3 rad/s and an angular acceleration ࠵? !" = 5 rad/ s 2 . For this problem, let us adopt a rotating coordinate system xy fixed to the rod ࠵?࠵? with unit vectors i and j . ( x axis is parallel to the rod ࠵?࠵? .) Answer the following questions. (a) Find the angular velocity ࠵? !" of the link CD and the velocity of slider ࠵? relative to the rod ࠵?࠵? . (10%) (b) Find the angular acceleration ࠵? !" of the link CD and the acceleration of slider ࠵? relative to the rod ࠵?࠵? . (20%) (c) Will presence of gravity change the results above? Why? Please justify your answer. (5%) x y
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2. (35%) The 30-kg slender rod ࠵?࠵? in the gravity field rests in the vertical position shown when the couple moment of ࠵? = 150 N∙m is applied.
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