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Jon Drake
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Does centrifugal force (mv^2/r) act in any position of angular SHM? Please explain.
Jon Drake said:Does centrifugal force (mv^2/r) act in any position of angular SHM? Please explain.
Jon Drake said:Suppose that a bob is suspended by a light string, and the position of the bob is somewhere between its mean and extreme position. Then it does have a velocity and it moves in a circular arc, so (mv^2/r) should act outward. At the same time in angular SHM we take very small angular amplitude, where the object moves almost in a straight path. In that case there is no centrifugal force. So, in a general situation, should we consider the centrifugal force in the free body diagram or not?
The force of the string on the bob is centripetal and that is the tension. For a big displacement, the tension will increase noticeably. Remember the g forces on fairground rides? You are 'pulling 3g' at the bottom of a rigid swing that starts off vertical. However, the SHM approximation only applies to small displacements because it is only then that the restoring force is (near enough) proportional to the displacement (which is the definition of SHM).Jon Drake said:So, in a general situation, should we consider the centrifugal force in the free body diagram or not?
Centrifugal force in angular SHM refers to the outward force experienced by an object in circular motion, caused by the object's inertia and the centripetal force acting on it.
In angular SHM, centrifugal force causes the object to move away from the center of rotation during the outward part of the motion, and towards the center during the inward part of the motion.
Centrifugal force is the outward force experienced by an object in circular motion, while centripetal force is the inward force that keeps the object moving in a circular path.
Centrifugal force in angular SHM can be calculated using the equation Fc = mrω², where Fc is the centrifugal force, m is the mass of the object, r is the distance from the center of rotation, and ω is the angular velocity.
No, centrifugal force cannot be greater than centripetal force as they are equal in magnitude but opposite in direction. In order for an object to maintain circular motion, the centripetal force must be greater than or equal to the centrifugal force.