Does the angle of an inclined plane affect the period of a spring oscillator?

No. The period T = 2 pi sqrt(m/k) is the same at every angle. The angle only changes the equilibrium position by shifting it downhill by mg sin theta divided by k. The restoring force from the spring has the same spring constant regardless of angle.

How does friction affect a spring on an inclined plane?

Kinetic friction f = mu times mg cos theta opposes the motion and dissipates energy. The oscillation amplitude decreases over time. If static friction is strong enough the mass may stop before reaching the equilibrium position.

Spring on Inclined Plane — Does Angle Change the Period?

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Spring on Inclined Plane