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Four forces are acting on a body. If the body doesn’t change its position or shape, the forces:(A) must be of equal magnitude(B) must be parallel & opposite(C) must add up to zero when taken as vectors(D) must be in a single line

Question

Four forces are acting on a body. If the body doesn’t change its position or shape, the forces:(A) must be of equal magnitude(B) must be parallel & opposite(C) must add up to zero when taken as vectors(D) must be in a single line

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Solution

The correct answer is (C) must add up to zero when taken as vectors.

Here's why:

When a body doesn't change its position or shape despite forces acting on it, it means the body is in equilibrium. According to the first condition of equilibrium, the vector sum of all forces acting on the body must be zero. This means that the forces must balance each other out in all directions, not necessarily be of equal magnitude, parallel & opposite, or in a single line. Therefore, the forces must add up to zero when taken as vectors.

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