A particle of mass m is constrained to move on $$x-axis$$. A fore F acts on the particle. F always points toward the position labeled E. For example, when the particle is to the left of E, F points to the right. The magnitude of F is a constant F except at point E where it is zero The system is horizontal. F is the net force acing on the particle. The particle is displaced a distance A towards left from the equilibrium position E and released from rest at t $$=$$ $$0$$.What is the period of the motion?Velocity–time graph of the particle is

Question

A particle of mass m is constrained to move on $$x-axis$$. A fore F acts on the particle. F always points toward the position labeled E. For example, when the particle is to the left of E, F points to the right. The magnitude of F is a constant F except at point E where it is zero The system is horizontal. F is the net force acing on the particle. The particle is displaced a  distance A towards left from the equilibrium position E and released from rest at t $$=$$ $$0$$.What is the period of the motion?Velocity–time graph of the particle is

Infinity Learn · Accepted Answer

Time taken to move from mean to $$extreme(t)=2A(F/m)=2AmF$$∴ Time period $$=4t=42AmFAcceleration$$ $$=$$ constant ⇒velocity time curve should be straight line.

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