Select the correct statement of Lami’s theorem.

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SSC JE Mechanical 11 Oct 2023 Shift 2 Official Paper-I
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  1. If three forces acting on a body are said to be in equilibrium, then each force is directly dependent on sine of the angle between the other two forces.
  2. If three forces are non-coplanar, then each force is directly dependent on sine of the angle between the other two forces.
  3. If three forces are not in equilibrium, then each force is inversely proportional to sine of the angle between the other two forces.
  4. If two forces are in equilibrium, then each force is directly proportional to sine of the angle between them.

Answer (Detailed Solution Below)

Option 1 : If three forces acting on a body are said to be in equilibrium, then each force is directly dependent on sine of the angle between the other two forces.
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Detailed Solution

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Explanation:

LAMI’S Theorem states, “If three coplanar forces acting at a point be in equilibrium, then each force is proportional to the sine of the angle between the other two.

Consider three forces F1, F2, F3 acting on a particle or rigid body making angles α, β, and γ with each other.

RRB JE ME D5

Mathematically, \(\frac{{{F_1}}}{{\sin \alpha }} = \frac{{{F_2}}}{{\sin \beta }} = \frac{{{F_3}}}{{\sin \gamma }}\)

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