95. If 11 forces each equal to 10N act on a
particle and each force makes 30° with the
next one, the resultant of all the forces is
(1) 110 N
(2) 20 N
(3) 10/3N
(4) 10 N
Answers
Answer:
b. 20 N
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Answer:
The resultant of all the forces is equal to 10N.
Therefore, the option (4) is correct.
Explanation:
Given that the eleven force acting on the same particle .
The magnitude of each force is 10N.
The angle of each force with next force is 30°.
As shown in the attached figure, give each force a number to indicate as 1, 2, 3,......, 11.
Now, the two forces such as force 1 and force 2, they are equal in magnitude but acting in opposite direction. Therefore they cancel each other.
Similarly, the forces cancel each other:
Force 2 & force 8, Force 3 & force 9, Force 4 & force 10 and Force 6 & force 11.
In the end force 5 left to act on the particle, which is not cancelled by any other force.
Therefore the resultant of all forces = Force5 = 10N
