MCQ
A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction.
The amplitude of oscillation is 3.92 × 10-3m. At what time the object is not detached from the platform?
  • A
    0.1256 sec.
  • B
    0.1356 sec.
  • C
    0.1456 sec.
  • D
    0.156 sec.

Answer

  1. 0.1256 sec.

Explanation:

The object is not detached from the platform if

$\text{mg = mr}\omega^2=\text{mr}\frac{4\pi\text{r}^2}{\text{T}^2}$

$\text{T}=2\pi\sqrt{\frac{\text{r}}{\text{g}}}=2\times\frac{22}{7}\sqrt{\frac{3.29\times10^{-3}}{9.8}}$

$=0.1256\text{ sec}$

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