DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 6, Problem 6.2P
A point is at a 6.5 in radius on a body in pure rotation with
a. Write an expression for the particle’s velocity vector in position A using complex number notation, in both polar and cartesian forms.
b. Write an expression for the particle’s velocity vector in position B using complex number notation, in both polar and cartesian forms.
c. Write a vector equation for the velocity difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.
d. Check the result of part c with a graphical method.
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Position of a particle in a rectangular coordinate system is (3, 2, 5). Then its
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O 3i + 5j + 2k
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iven vector A = 21 + 31, the angle between A and y-axis is then
O arctan (3/2)
arctan (2/3)
arcsin (2/3)
arccos (2/3)
The unit vector along i+jis
OLScClowHxaMVqbhPU.
O 10
Relative to the origin, point P has position vector 3i + j- 4k and Q has
position vector i -j+ 3k. What is QP? *
2i - 7k
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3i -j- 12k
O 21 + 21 - 7k
The vector projection of a vector 3i + 4k on y-axis is
Zero
Position ofa particle ina rectangular coom
nate system is (3. 2.51 Then
Calculate the acceleration of point A with respect to origin point 0.
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0,0, Ö
li = 25.0cm
%3D
01 = 45.0deg
w1 = 0.5rad/s
a1 = 1.0rad/s²
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02 = 30.0deg
w2 = 0.5rad/s
a2 = 0.0rad/s²
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