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Q.19

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 128

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Short Answer

Exercise 19 show two of the three forces acting on an object in equilibrium. Redraw the diagram, showing all three forces. Label the third force .

The net force of F3 should act on the object such that the object is at equilibrium.

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Step by Step Solution

Given information:

The forces F1 and F2 are at an angle with the horizontal axis as shown in the force diagram.

Calculating the net force F :

Apply the Newton's first law which states that the object is at rest will continue to remain at rest, or an object that is moving will continue to move in a straight line with constant velocity, if and only if the net force acting on the object is zero.

Here, there are two forces:

is acting towards the left with an angle above the horizontal and

is acting towards the left with an angle below the horizontal.

Both the forces have same magnitude and make an angle with the axis.

The resultant force or the net force F will act in the middle of the horizontal axis. It is shown in the below force diagram labelling F.

Drawing the force F3 in the diagram:

Since the object is at equilibrium, one must apply the force F3 opposite to the resultant force F with the same magnitude so that it nullify the net force.

Therefore, the force F3 must be applied towards the right and parallel to the horizontal axis as shown in the below force diagram:

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