Consider three forces acting upon a ring as shown in the diagram at the right. The magnitudes of the three forces are: A = 148.0 N B = 148.0 N C = 74.0 N Resolve each force vector into its components; enter the result into the cells of the table below. (Use - signs for a negative direction.) Then sum the columns to determine the resultant's x- and y-components. Enter these values into the table with the appropriate + or - sign. Finally determine the magnitude and the direction of the resultant force. Note that in chis context, N stands for 'Newton' (which is a unit of force, like pound), not 'North'. Vector East-West Component North-South Component A = Ay = 0 B By = N By = Cy 0 Ry = Resultant Ry = N he resultant has a magnitude of N and a direction of degrees north of east.

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 9OQ
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A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and walk north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!

(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure along the line of the resultant?

Consider three forces acting upon a ring as shown in the diagram at the right. The magnitudes of the three forces are:
+y
A = 148.0 N
%3D
A
B = 148.0 N
300
%3D
C
C = 74.0 N
%3D
Resolve each force vector into its components; enter the result into the cells of the table below. (Use - signs for a negative direction.) Then sum the columns to
determine the resultant's x- and y-components. Enter these values into the table with the appropriate + or - sign. Finally determine the magnitude and the direction of the resultant force. Note that in
this context, N stands for 'Newton' (which is a unit of force, like pound), not 'North'.
Vector
East-West Component North-South Component
Ay
By =
Cy = [0
Ry =
A
Ax =
=10
Bx =
%3D
%3D
C
X N
%3D
Resultant
Rx =
%3D
%3D
The resultant has a magnitude of
N and a direction of
degrees north of east.
Transcribed Image Text:Consider three forces acting upon a ring as shown in the diagram at the right. The magnitudes of the three forces are: +y A = 148.0 N %3D A B = 148.0 N 300 %3D C C = 74.0 N %3D Resolve each force vector into its components; enter the result into the cells of the table below. (Use - signs for a negative direction.) Then sum the columns to determine the resultant's x- and y-components. Enter these values into the table with the appropriate + or - sign. Finally determine the magnitude and the direction of the resultant force. Note that in this context, N stands for 'Newton' (which is a unit of force, like pound), not 'North'. Vector East-West Component North-South Component Ay By = Cy = [0 Ry = A Ax = =10 Bx = %3D %3D C X N %3D Resultant Rx = %3D %3D The resultant has a magnitude of N and a direction of degrees north of east.
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