Work Energy And Power Question 302

Question: The force acting on a body moving along x-axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at:

Options:

A) $ x=x_1 $

B) $ x=x_2 $

C) both $ x_1 $ and $ x_2 $

D) neither $ {x_1} $ nor $ x_2 $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] If a particle at $ x_1 $ is displaced slightly towards left or right the force is in the same direction.

Hence the equilibrium is unstable.

Whereas at $ x_2 $ the force is directed opposite to displacement.



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