Question

A horizontal platform with an object placed on it is executing SHM in the vertical direction. The amplitude of oscillation is 2.5 cm. What must be the least period of these oscillations so that the object is not detached -

• A. π sec
• B. π/5 sec
• C. π/10 sec
• D. π/15 sec

Answer 1

Answer: (C)

π/10 sec

Answer 2

mω²a = mg, ω = $\sqrt{\frac{g}{a}}$,

T = 2π$\sqrt{\frac{a}{g}}$

T = 2π$\sqrt{\frac{2.5}{1000}} = \frac{\pi}{10}$sec.