Q. A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. if a mass of 10 kg (which is placed on the surface) id to remain continuously is in contact with it. The maximum frequency of SHM will be
A) 5 Hz
B) 0.5 Hz
C) 1.5 Hz
D) 10 Hz
Explanation
(a) Here, $a = 1$ cm =0.01 m; The mass will remain in contact with surface, if
$mg = m\omega^{2}a\ \ or\ \ \ \omega\sqrt{g/a}$
or $2\pi v = \sqrt{g/a}$ or $v = \frac{1}{2\pi}\sqrt{\frac{g}{a}}$
$= \frac{7}{2 \times 22}\sqrt{\frac{980}{1}} = 4.9\ Hz = 5\ Hz$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.