Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 30P
In an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward and then also to the east, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an east–west vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a north–south vertical plane. Find (a) the magnitude of the total displacement of the object and (b) the angle the total displacement makes with the vertical.
Figure P3.30
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30. In an assembly operation illustrated in Figure P3.30, a
robot moves an object first straight upward and then also
to the cast, around an arc forming one-quarter of a circle
of radius 4.80 cm that lies in
an east-west vertical plane.
The robot then moves the
object upward and to the
north, through one-quarter
of a circle of radius 3.70 cm
that lies in a north-south
North
vertical plane. Find (a) the
magnitude of the total dis-
placement of the object
and (b) the angle the total
displacement makes with
the vertical.
East
Figure P3.30
Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper makes four jumps. The
displacement vectors are (1) 37.0 cm, due west; (2) 34.0 cm, 32.0° south of west; (3) 20.0 cm, 58.0° south of east; and (4) 17.0 cm,
79.0° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle
with respect to due west.
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(a) Number i
(b) Number i
72,
73
Units
Units
74
W
Start
N
S
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The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are e, = 32.0°,
e, = 49.0°, and0z = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and dz = 10.0 m. What are the (a) magnitude and (b) angle of
the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less
than 180°, measured from the +x direction.
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(a) Number
Units
(b) Number
Units
Chapter 3 Solutions
Physics for Scientists and Engineers
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