Unformatted text preview: erence Frame Kinematics Homework
ference Frame Kinematics Homework Problems m III-23 III-25
ME 274 Problem III.23 ˙
˙
A particle P travels in a tube P travels 6 ft /tube with R = The tube.isThe tube is being raised at a constant
Given: Particle with R = in a sec = constant . constant being
˙rate of ! = 3 rad / sec . In addition, the a vertical shaft which is rotating about the fixed Y
˙
raised at a crate of θ. In addition, the tube is attached to tube is attached to a
onstant
axis withis rotating aboutof ω .fixed observer is attached to the tube with the xyz axes also attached
a constant rate the An Y axis with a constant rate of
vertical shaft which
to . An observer is origin at point O.
! = 4 rad / secthe tube with its attached to the tube with the xyz axes also
attached to the tube with its origin at point O.
Find: For the position shown, determine: You are asked • the angular velocity vector of the observer.= 5 feet and ! =
to find the acceleration of particle P when R
36.87°. In doing so, answer the following questions.
a)
b)
c)
d)
e) Find the • ngular velocity vector of vector of the. observer.
a the angular acceleration the observer
Find the • ngular acceleration vectorseen byobserver.
a the velocity of point P as of the the observer.
What is the velocity of point P as seenas seen observer?
• the acceleration of point P by the by the observer.
What is the acceleration of point P as seen by the observer?
• the acceleration of point P using the above results.
Using the results from a)-d) above, find the acceleration of point P.
Y x
P y R
! O X " ˙
˙
Use the following parameters in your analysis: R = 5f t, θ = 36.87◦ , R = 6f t/sec, θ = 3rad/sec
and ω = 4rad/sec. Moving Reference Frame Kinematics Homework Problems ME 274 III-26 Chapter III: Moving Reference Frame Kinematics Homework Problem III-24
Given: Arm AB is pinned to ground at point A. A block that is pinned to AB
Problem III.24
at B is constrained to slide within a slot on a disk. The disk is rotating
clockwise about a shaft at O a constant rate of 10 rad/sec. At the instan...
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- Spring '09
- Cartesian Coordinate System, Acceleration, Angular velocity, Velocity
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