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Geremia
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Are fictitious forces and constraint forces the same thing?
Yes, but how can geometry cause forces? Isn't force a change in momentum? Doesn't force imply movement? If a force isn't doing work, how is it a force?cmmcnamara said:No, fictitious forces are forces which arise from analyzing within a non-inertial reference frame. Constraint forces are those which arise from a geometrical configuration.
Yes, but what causes the constraint force, if not inertial effects?cmmcnamara said:For example, a constraint force would be perhaps a normal force exerted by the surface an object rests on such as an inclined plane problem. As long as the object is on the inclined plane, the object's motion is constrained to be along the inclined plane.
Constraint forces self-adjust so that they are exactly equal and opposite to the force they are opposing. So they do not do work and they do not cause a change in momentum. They balance other forces that would otherwise do work/cause change in momentum.Geremia said:Yes, but how can geometry cause forces? Isn't force a change in momentum? Doesn't force imply movement? If a force isn't doing work, how is it a force?Yes, but what causes the constraint force, if not inertial effects?
Fictitious forces, also known as inertial forces, are apparent forces that appear to act on an object in a non-inertial frame of reference. They arise due to the acceleration of the reference frame and do not have a real physical origin.
D'Alembert's Principle, also known as the principle of virtual work, states that in a system in equilibrium, the net sum of all forces acting on the system is equal to zero. This principle is commonly used in mechanics to analyze the motion of objects subjected to constraint forces.
Fictitious forces and constraint forces are related through D'Alembert's Principle. Fictitious forces arise due to the acceleration of a non-inertial frame of reference, while constraint forces arise due to the constraints placed on an object in motion. Both types of forces can be accounted for using D'Alembert's Principle.
No, fictitious forces are not real forces and cannot be directly observed or measured. They are only apparent forces that arise due to the choice of a non-inertial frame of reference. However, their effects can be observed in the motion of objects in a non-inertial frame.
Fictitious forces do not actually affect the motion of objects. They only appear to do so when observed from a non-inertial frame of reference. In reality, the motion of an object is only affected by real forces such as gravity, friction, and normal forces.