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Unformatted text preview: erms of to a x-y components.
face with a constant speed of vO . The angle of the arm, !, is increasing at a constant
• Make a sketch !
L The xyz coordinate system vectors found above.
of ! and is extending at a rate of of .the velocity and accelerationis attached to the
scoping arm with its origin at end O of the arm.
a) Determine the velocity and
acceleration of particle P.
Express your answers as vectors
in terms of their x-y
b) Make a sketch of the velocity
and acceleration vectors found
in a) above. P x L
Use the following parameters in your analysis: θ = !90◦ , vO = 6m/sec, θ = 5rad/sec, L = 2m,
the following ˙parameters in your analysis: ! = 0 , vO = 10 m / s , ! = "3 rad / s ,
¨ = 3m/sec2 .
L = 0 and L
4 m , L = !3 m / s and L = 0 . III-10 Chapter III: Moving Reference Frame Kinematics Homework Problem III.8
Given: Yoke A rotates about a ﬁxed axis with a constant rate of ω1 . A disk rotates about its
center C with a constant rate of p relative to yoke A. The XYZ coordinate system is ﬁxed with the
X-axis aligned with the ﬁxed rotation axis of yoke A. The xyz coordinate system is attached to the
disk with the z-axis aligned with the rotation axis of the disk for all time. For the position shown
below, the xyz axes are aligned with the XYZ axes. erence Frame Kinematics Homework Problems ME 274 Find: For the position shown: III-8
• Determine the angular velocity and angular acceleration of the disk. Write your answers as
rotates about a fixed vectors in a constant rate xyz!1. A disk rotates about its
axis with terms of their of components.
with a constant rate of p relative to yoke A. The XYZ coordinate system is fixed
• Determine the acceleration of A. The of the disk. Write your
X-axis aligned with the fixed rotation axis of yokepoint B xyz coordinate system answer as a vector in terms of
its xyz components.
d to the disk with the z-axis aligned with the rotation axis of the disk for all
the position shown below, the xyz axes are aligned with the XYZ axes.
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- Spring '09