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Fundamental principles of applied mechanics; rigid body

Short answer

The fundamental principles are Newton’s three laws of motion, the law of gravitation, the parallelogram law of forces, and the principle of transmissibility. A rigid body is an ideal body that does not deform; the distance between any two points remains constant under all forces.

Enlist the fundamental principles of Applied Mechanics. Define rigid body.

Fundamental principles of applied mechanics

  1. Newton's first law (law of inertia): a body remains at rest or in uniform motion along a straight line unless acted on by an external force.
  2. Newton's second law: the rate of change of momentum is proportional to the applied force and takes place in its direction, F = ma.
  3. Newton's third law: action and reaction are equal in magnitude, opposite in direction and collinear.
  4. Newton's law of gravitation: F = G m₁m₂/r², where G = 6.673 × 10⁻¹¹ N·m²/kg².
  5. Parallelogram law of forces: the resultant of two concurrent forces is the diagonal of the parallelogram drawn with the forces as adjacent sides.
  6. Principle of transmissibility: the external effect of a force on a rigid body is the same wherever the force is applied along its line of action.

Rigid body

A rigid body is an ideal body in which the distance between any two of its points remains constant under the action of forces, that is, it does not deform.

✓ Answer checked by Claude Opus 5.5 (high effort)

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