Super Position of SHM’s
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PHXI14:OSCILLATIONS

364516 The displacement of the particle varies with time according to the relation. \(y=a \sin \omega t+b \cos \omega t\), then

1 The motion is oscillating but not SHM
2 The motion is SHM with amplitude \(a + b\)
3 The motion is SHM with amplitude \(a^{2}+b^{2}\)
4 The motion is SHM with amplitude \(\sqrt{a^{2}+b^{2}}\)
NCERT Exemplar
PHXI14:OSCILLATIONS

364517 The displacement equation of the SHM obtained by combining the motions \(x_{1}=2 \sin \omega t\), \(x_{2}=4 \sin \left(\omega t+\dfrac{\pi}{6}\right)\) and \(x_{3}=6 \sin \left(\omega t+\dfrac{\pi}{3}\right)\) is.

1 \(x=11.10 \sin \left(\omega t+31.54^{\circ}\right)\)
2 \(x=9.24 \sin \left(\omega t+37.1^{\circ}\right)\)
3 \(x=8.20 \sin \left(\omega t+23.4^{\circ}\right)\)
4 \(x=12.10 \sin \left(\omega t+19.1^{\circ}\right)\)
PHXI14:OSCILLATIONS

364518 The motion of a particle varies with time according to the relation
\(y=a \sin \omega t+a \sin (\omega t+\pi / 3)\)

1 The motion is oscillatory but not SHM
2 The motion is SHM with amplitude \(\sqrt{2} a\)
3 The motion is SHM with amplitude \(2 a\)
4 The motion is SHM with amplitude \(\sqrt{3} a\)
PHXI14:OSCILLATIONS

364519 During the phenomenon of resonance

1 The amplitude of oscillation becomes large
2 The frequency of oscillation becomes large
3 The time period of oscillation becomes large
4 all of the above
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PHXI14:OSCILLATIONS

364516 The displacement of the particle varies with time according to the relation. \(y=a \sin \omega t+b \cos \omega t\), then

1 The motion is oscillating but not SHM
2 The motion is SHM with amplitude \(a + b\)
3 The motion is SHM with amplitude \(a^{2}+b^{2}\)
4 The motion is SHM with amplitude \(\sqrt{a^{2}+b^{2}}\)
NCERT Exemplar
PHXI14:OSCILLATIONS

364517 The displacement equation of the SHM obtained by combining the motions \(x_{1}=2 \sin \omega t\), \(x_{2}=4 \sin \left(\omega t+\dfrac{\pi}{6}\right)\) and \(x_{3}=6 \sin \left(\omega t+\dfrac{\pi}{3}\right)\) is.

1 \(x=11.10 \sin \left(\omega t+31.54^{\circ}\right)\)
2 \(x=9.24 \sin \left(\omega t+37.1^{\circ}\right)\)
3 \(x=8.20 \sin \left(\omega t+23.4^{\circ}\right)\)
4 \(x=12.10 \sin \left(\omega t+19.1^{\circ}\right)\)
PHXI14:OSCILLATIONS

364518 The motion of a particle varies with time according to the relation
\(y=a \sin \omega t+a \sin (\omega t+\pi / 3)\)

1 The motion is oscillatory but not SHM
2 The motion is SHM with amplitude \(\sqrt{2} a\)
3 The motion is SHM with amplitude \(2 a\)
4 The motion is SHM with amplitude \(\sqrt{3} a\)
PHXI14:OSCILLATIONS

364519 During the phenomenon of resonance

1 The amplitude of oscillation becomes large
2 The frequency of oscillation becomes large
3 The time period of oscillation becomes large
4 all of the above
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PHXI14:OSCILLATIONS

364516 The displacement of the particle varies with time according to the relation. \(y=a \sin \omega t+b \cos \omega t\), then

1 The motion is oscillating but not SHM
2 The motion is SHM with amplitude \(a + b\)
3 The motion is SHM with amplitude \(a^{2}+b^{2}\)
4 The motion is SHM with amplitude \(\sqrt{a^{2}+b^{2}}\)
NCERT Exemplar
PHXI14:OSCILLATIONS

364517 The displacement equation of the SHM obtained by combining the motions \(x_{1}=2 \sin \omega t\), \(x_{2}=4 \sin \left(\omega t+\dfrac{\pi}{6}\right)\) and \(x_{3}=6 \sin \left(\omega t+\dfrac{\pi}{3}\right)\) is.

1 \(x=11.10 \sin \left(\omega t+31.54^{\circ}\right)\)
2 \(x=9.24 \sin \left(\omega t+37.1^{\circ}\right)\)
3 \(x=8.20 \sin \left(\omega t+23.4^{\circ}\right)\)
4 \(x=12.10 \sin \left(\omega t+19.1^{\circ}\right)\)
PHXI14:OSCILLATIONS

364518 The motion of a particle varies with time according to the relation
\(y=a \sin \omega t+a \sin (\omega t+\pi / 3)\)

1 The motion is oscillatory but not SHM
2 The motion is SHM with amplitude \(\sqrt{2} a\)
3 The motion is SHM with amplitude \(2 a\)
4 The motion is SHM with amplitude \(\sqrt{3} a\)
PHXI14:OSCILLATIONS

364519 During the phenomenon of resonance

1 The amplitude of oscillation becomes large
2 The frequency of oscillation becomes large
3 The time period of oscillation becomes large
4 all of the above
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PHXI14:OSCILLATIONS

364516 The displacement of the particle varies with time according to the relation. \(y=a \sin \omega t+b \cos \omega t\), then

1 The motion is oscillating but not SHM
2 The motion is SHM with amplitude \(a + b\)
3 The motion is SHM with amplitude \(a^{2}+b^{2}\)
4 The motion is SHM with amplitude \(\sqrt{a^{2}+b^{2}}\)
NCERT Exemplar
PHXI14:OSCILLATIONS

364517 The displacement equation of the SHM obtained by combining the motions \(x_{1}=2 \sin \omega t\), \(x_{2}=4 \sin \left(\omega t+\dfrac{\pi}{6}\right)\) and \(x_{3}=6 \sin \left(\omega t+\dfrac{\pi}{3}\right)\) is.

1 \(x=11.10 \sin \left(\omega t+31.54^{\circ}\right)\)
2 \(x=9.24 \sin \left(\omega t+37.1^{\circ}\right)\)
3 \(x=8.20 \sin \left(\omega t+23.4^{\circ}\right)\)
4 \(x=12.10 \sin \left(\omega t+19.1^{\circ}\right)\)
PHXI14:OSCILLATIONS

364518 The motion of a particle varies with time according to the relation
\(y=a \sin \omega t+a \sin (\omega t+\pi / 3)\)

1 The motion is oscillatory but not SHM
2 The motion is SHM with amplitude \(\sqrt{2} a\)
3 The motion is SHM with amplitude \(2 a\)
4 The motion is SHM with amplitude \(\sqrt{3} a\)
PHXI14:OSCILLATIONS

364519 During the phenomenon of resonance

1 The amplitude of oscillation becomes large
2 The frequency of oscillation becomes large
3 The time period of oscillation becomes large
4 all of the above
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