Q. A horizontal platform with an object placed on it is executing SHM in the vertical direction. The amplitude of oscillation is 30.92$\times 10^{- 3}m.$ What must be the least period of these oscillations, so that the object is not detached from the platform?
A) 0.1256 s
B) 0.1356 s
C) 0.1456 s
D) 0.1556 s
Explanation
(a) The object is not detached from the platform if
$mg = m\omega^{2}r = m\ \frac{4\pi^{2}}{T^{2}} \times r\ \ or\ \ \ T = 2\pi\sqrt{\frac{r}{g}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.