Friday, January 20, 2012

Circular motion. What happens to the speed of the force is not perpendicular to the velocity?

An object executes circular motion with a constant speed whenever a net force of constant magnitude acts perpendicular to the velocity. What happens to the speed if the force is ot perpendicular to the velocity.Circular motion. What happens to the speed of the force is not perpendicular to the velocity?The force is perpendicular implies that it is at 90 from the direction of the velocity of the particle.



Let the force F be inclined at angle 胃 to the direction of velocity.



We can resolve the forces into two components,

F sin 胃 is perpendicular to the velocity and F cos 胃 is parallel to the velocity.



Due to F sin 胃, it will have a circular motion given by F sin 胃 = m v^2 / r

And due to F cos 胃 it will have a translational motion given by F cos 胃 = ma.



Thus the particle will have a path which is the resultant of both circular and translational motion.Circular motion. What happens to the speed of the force is not perpendicular to the velocity?If the force is not perpendicular to the velocity it must be parallel to the velocity. If it is acting in the same direction as the velocity, the object is accelerating. If it is acting in the opposite direction of the velocity, it is slowing down. If this force continues to act it will eventually stop as in the case of brakes. The energy of the object will be dissipated in the form of heat. If the force is being applied by something like an engine which provides power rather than just dissipates energy as brakes do, eventually the object will reverse direction.Circular motion. What happens to the speed of the force is not perpendicular to the velocity?No circular motion

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