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hich of the following sets of concurrent forces may be in equilibrium?F1=3 N,F2=5 N,F3=10 NF1=3 N,F2=5 N,F3=9 NF1=3 N,F2=5 N,F3=6 NF1=3 N,F2=5 N,F3=15 N

Question

hich of the following sets of concurrent forces may be in equilibrium?F1=3 N,F2=5 N,F3=10 NF1=3 N,F2=5 N,F3=9 NF1=3 N,F2=5 N,F3=6 NF1=3 N,F2=5 N,F3=15 N

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Solution

For a set of forces to be in equilibrium, the vector sum of the forces must be zero. This means that the magnitudes of the forces must balance each other out.

Let's check each set:

  1. F1=3 N, F2=5 N, F3=10 N The sum of F1 and F2 (3 N + 5 N = 8 N) is less than F3 (10 N). So, these forces cannot be in equilibrium.

  2. F1=3 N, F2=5 N, F3=9 N The sum of F1 and F2 (3 N + 5 N = 8 N) is less than F3 (9 N). So, these forces cannot be in equilibrium.

  3. F1=3 N, F2=5 N, F3=6 N The sum of F1 and F2 (3 N + 5 N = 8 N) is greater than F3 (6 N). So, these forces cannot be in equilibrium.

  4. F1=3 N, F2=5 N, F3=15 N The sum of F1 and F2 (3 N + 5 N = 8 N) is less than F3 (15 N). So, these forces cannot be in equilibrium.

Therefore, none of the given sets of forces can be in equilibrium.

This problem has been solved

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