03mov_ref_frame_kinematics

# 03mov_ref_frame_kinematics - Moving Reference Frame...

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Moving Reference Frame Kinematics Homework Problems ME 274 Problem III-1 A particle P moves within a straight slot cut into a rotating disk with the x-position of P increasing at a constant rate of ! x . The disk is rotating with counter-clockwise sense at a speed of ! , with ! changing at a rate of ! ! . The xyz coordinate system is attached to the disk with its origin at the center O of the disk. a) Determine the velocity and acceleration of particle P. Express your answers as vectors in terms of their x-y components. b) Make a sketch of the velocity and acceleration vectors found in a) above. Use the following parameters in your analysis: x = 0.8 ft , h = 0.6 ft , ! x = 15 ft / s , ! = 10 rad / s and ! ! = " 5 rad / s 2 . O P x y h x !

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Moving Reference Frame Kinematics Homework Problems ME 274 Problem III-4 Arm OB is pinned to ground at end O. Rigid link AP is pinned to ground at A, with end P able to slide within a straight slot that is cut into arm OB. Arm AP is rotating in the clockwise sense with a constant rate of ! . The xyz coordinate system is attached to arm OB with its origin at pin O. For the position shown, link OB is perpendicular to the direction of OA, with arm AP at an angle of " measured from OB. For this position: a) Determine the angular velocity of arm OB. Write your answer as a vector. b) Determine the angular acceleration of arm OB. Write your answer as a vector. c) Determine the values of ! x P and !! x P . Use the following parameters in your analysis: ! = 8 rad / s , L = 2 m and = 53.13 ° . O L P A B x y x P
Moving Reference Frame Kinematics Homework Problems ME 274 Problem III-6 A disk and shaft OC are mounted in a clevis that is attached to a fixed vertical axis ( ! = 0 ). The shaft and disk rotate with respect to the clevis with a rate of # 0 in the direction shown below, with the angle " increasing at a constant rate of ! ! . The XYZ coordinate system is fixed with the Z-axis aligned with the fixed vertical direction. The xyz coordinate system is attached to the disk with the y-axis aligned with OC for all time. For the position shown below, the x- and X-axes are aligned. For the position shown: a) Determine the angular velocity of the disk. Write your answer as a vector in terms of its xyz components. b)

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03mov_ref_frame_kinematics - Moving Reference Frame...

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