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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency $\omega $. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time
  • A
    at the mean position of the platform
  • ✓
    for an amplitude of $\frac{g}{\omega ^2}$
  • C
    for an amplitude of $\frac{g^2}{\omega ^2}$
  • D
    at the highest position of the platform
✓

Answer

Correct option: B.
for an amplitude of $\frac{g}{\omega ^2}$
b
For block $A$ to move in $SHM.$

$\mathrm{mg}-\mathrm{N}=\mathrm{m} \omega^{2} \mathrm{x}$

where $x$ is the distance from mean position

For block to leave contact $\mathrm{N}=0$

$\Rightarrow m g=m \omega^{2} x \Rightarrow x=\frac{g}{\omega^{2}}$

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