Friday, January 22, 2021

Force systems

Resultant force

The total physical force exerted by a force system is single force  make same effect as the system.

 Parallelogram Law of adding 2 forces

When two forces are geometrically represented by two adjacent sides in parallelogram in terms of magnitude and direction, the sum of the two forces is obtained by the magnitude and direction of the diagonal of the parallelogram along the vertice where the two forces meet.

Let magnitude be the angle P with each of the magnitudes P and Q, the magnitude R of the sum of the two oblique vectors, and the angle a formed with the force P, the magnitude of the symmetry.

Draw the CL perpendicular to the extended AB base

From the ACL triangle



AC² = AL² + LC²

 = (P + Q cosθ )²+(Qsinθ

R²=P²+2PQcosθ+Q²cos²θ+Q²sinθ

R²=P²+2PQcosθ+Q²(cosθ²+sinθ²)




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