Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 3.47P
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
While exploring a cave, a spelunker starts at the
entrance and moves the following distances in a hori-
zontal plane. She goes 75.0 m north, 250 m east, 125 m
at an angle u 5 30.0° north of east, and 150 m south.
Find her resultant displacement from the cave
entrance. Figure P3.21 suggests the situation but is not
drawn to scale.
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.
7₁
(a) Number i
(b) Number i
72,
73
Units
Units
74
W
Start
N
S
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Chapter 3 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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