A system has potential energy

$U(x)=(10J)[1-sin((3\mathrm{.}14ra\frac{d}{m})x)]$

$as$ a particle moves over the range $0mx3m.$

$Isx=\frac{1}{2}m$ a point $of$ stable $or$ unstable equilibrium?

Stable, because $x=\frac{1}{2}mis$ a local minimum.

Unstable, because $x=\frac{1}{2}mis$ a local minimum.

Stable, because $x=\frac{1}{2}mis$ a local maximum.

Unstable, because $x=\frac{1}{2}mis$ a local maximum.

Request Answer

Part $C$

$Isx=\frac{3}{2}m$ a point $of$ stable $or$ unstable equilibrium?

Unstable, because $x=\frac{3}{2}mis$ a local maximum.

Stable, because $x=\frac{3}{2}mis$ a local minimum.

Unstable, because $x=\frac{3}{2}mis$ a local minimum.

Stable, because $x=\frac{3}{2}mis$ a local maximum.