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Q.

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

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a

42AmF

b

22AmF

c

2AmF

d

None of these

e

f

g

h

answer is , .

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Detailed Solution

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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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