Question

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an object on a spring is oscillating in simple harmonic motion. suddenly friction appears and causes the energy of the system to be dissipated. the system now exhibits _.
damped harmonic motion
driven harmonic motion
hookes - law type of motion

Explanation:

• Damped harmonic motion occurs when there is a dissipative force (like friction) acting on a system in simple harmonic motion, causing the energy of the system to decrease over time.
• Driven harmonic motion is when an external force is applied to drive the oscillation, which is not the case here as the problem mentions friction (a dissipative force, not a driving force).
• Hooke's - law type of motion is just the basic simple harmonic motion without considering energy dissipation due to friction.

Answer:

damped harmonic motion