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

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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
Transcribed Image Text: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
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