1. A horizontal force of 80 lb.acts on a 50-lb object suspended by a string. What are the magnitude and direction of the force the string must provide to keep the object at rest?

College Physics
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Chapter4: Newton's Laws Of Motion
Section: Chapter Questions
Problem 20P: A horizontal force of 95.0 N is applied to a 60.0-kg crate on a rough, level surface. If the crate...
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11. A horizontal force of 80 lb,acts on a 50-lb object suspended by a string. What are the magnitude and direction
of the force the string must provide to keep the object at rest?
Transcribed Image Text:11. A horizontal force of 80 lb,acts on a 50-lb object suspended by a string. What are the magnitude and direction of the force the string must provide to keep the object at rest?
Step 1: Represent the problem by making a sketch of the problem and by
gathering all pertinent data given.
Step 2: Draw the free body diagram of the object(s) labeling all external
forces acting on the object(s).
Step 3: Choose a convenient two coordinate system, resolve all forces into
their rectangular components.
Step 4: Apply the l" condition of equilibrium at each of the two axes.
Remember the sign convention. For forces along the x- axis; a force
to the right is positive while a force to the left is negative and for the
y- axis, an upward force is positive, a downward force is negative.
Bear in mind also that the signs indicate the direction of the forces.
(refer to the resolution and addition of vectors)
Step 5: Solve for your unknown forces. If you have more than one unknown
as you often will remember to derive as many independent equations
as the number of unknown forces you have. This will give you a set
of simultaneous equation wherein the unknowns can be solved in
terms of the given quantities. You use algebra as a mathematical tool
until you are able to solve for what is asked of you in the problem.
Transcribed Image Text:Step 1: Represent the problem by making a sketch of the problem and by gathering all pertinent data given. Step 2: Draw the free body diagram of the object(s) labeling all external forces acting on the object(s). Step 3: Choose a convenient two coordinate system, resolve all forces into their rectangular components. Step 4: Apply the l" condition of equilibrium at each of the two axes. Remember the sign convention. For forces along the x- axis; a force to the right is positive while a force to the left is negative and for the y- axis, an upward force is positive, a downward force is negative. Bear in mind also that the signs indicate the direction of the forces. (refer to the resolution and addition of vectors) Step 5: Solve for your unknown forces. If you have more than one unknown as you often will remember to derive as many independent equations as the number of unknown forces you have. This will give you a set of simultaneous equation wherein the unknowns can be solved in terms of the given quantities. You use algebra as a mathematical tool until you are able to solve for what is asked of you in the problem.
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