Question

3919. If F = 2x2 – 3x - 2, then select the correctstatement(1) X =is the position of stable equilibrium2(2) x = 2 is the position of stable equilibrium(3)X=is the position of unstable equilibrium(4) x = 2 is the position of neutral equilibrium​

Answer 1

Answer:

F=2x

2

−3x−2

dx

dF

=4x−3<0

x<3/4 for stable equilibrium

x>3/4 for unstable equilibrium

For stable F=0

2x

2

−3x−2=0

2x

2

−4x+x−2=0

2x(x−2)+1(x−2)=0

(2x+1)(x−2)=0

x=−

2

1

,x=+2

Explanation:

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