Concept explainers
Here a stone is suspended at rest by a string.
a. Draw force vectors for all the forces that act on the stone,
b. Should your vectors have a zero resultant?
c. Why, or why not?
(a)
To Sketch: The force vectors for the forces acting on the stone.
Explanation of Solution
Consider a stone is suspended by a string.
Consider the mass of the stone is denoted by
Consider the acceleration due to gravity of the Earth is denoted by
The gravitation force of the Earth applies a gravitational pull on the suspended stone.
For the stone to be in rest, the tension
Show the forces acting on the stone as shown in the Figure below:
Refer the Figure.
The stone’s weight
The tension
Hence, the sketch for the force vectors for the forces acting on the stone is shown.
Conclusion:
Thus, the sketch for the force vectors for the forces acting on the stone is shown.
(b)
Whether the force vectors should have zero resultant.
Answer to Problem 47A
The force vectors (stone weight and tension in the string) should have zero resultant.
Explanation of Solution
Refer Part (a).
The weight
The tension
For the stone in rest condition, the weight of the stone equals the tension in the string.
Conclusion:
Thus, the force vectors (stone weight and tension in the string) should have zero resultant.
(c)
The reason whether the force vectors should have zero resultant or not.
Answer to Problem 47A
The force vectors (stone weight and tension in the string) should have zero resultant as the stone is in rest condition.
Explanation of Solution
Refer Part (a) and Part (b).
The weight
The tension
For the stone in rest condition, the weight of the stone equals the tension in the string.
The resultant vector for these equal and opposite forces is zero.
Conclusion:
Thus, the force vectors (stone weight and tension in the string) should have zero resultant as the stone is in rest condition.
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