In damped SHM, the amplitude decreases:

Resonance occurs in a forced oscillation when:

The quality factor $Q$ of an oscillator is high when:

In a forced oscillator at steady state, the oscillation frequency is:

Two SHMs of amplitudes 3 and 4 with phase difference $\pi/2$ are added. The resultant amplitude is: <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 200 160" style="max-width:200px;margin:0.5em auto;display:block;"> <title>Phasor addition — 3 and 4 at 90 degrees give resultant 5</title> <rect width="200" height="160" fill="#faf9f5" rx="6"/> <defs> <marker id="ah-jw01q-2" markerWidth="6" markerHeight="4" refX="5" refY="2" orient="auto"> <path d="M0,0 L6,2 L0,4Z" fill="#14140f"/> </marker> </defs> <line x1="40" y1="120" x2="145" y2="120" stroke="#c6613f" stroke-width="2" marker-end="url(#ah-jw01q-2)"/> <line x1="40" y1="120" x2="40" y2="25" stroke="#788c5d" stroke-width="2" marker-end="url(#ah-jw01q-2)"/> <line x1="40" y1="120" x2="145" y2="25" stroke="#14140f" stroke-width="2" stroke-dasharray="4,2" marker-end="url(#ah-jw01q-2)"/> <text x="95" y="138" text-anchor="middle" font-size="9" fill="#c6613f">$A_{1}$ = 3</text> <text x="28" y="75" font-size="9" fill="#788c5d">$A_{2}$ = 4</text> <text x="105" y="65" font-size="10" fill="#14140f" font-weight="600">5</text> <path d="M65,120 A25,25 0 0,0 40,95" fill="none" stroke="#14140f" stroke-width="0.8"/> <text x="55" y="108" font-size="7" fill="#14140f">π/2</text> <text x="100" y="155" text-anchor="middle" font-size="8" fill="#14140f">A = √(9+16) = 5</text> </svg>