Oscillations (SHM) · JEE Main previous year questions

2006 3 questions

1. Q452006 · 29 Apr 2006 · Shift 1

   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

   1. A.at the mean position of the platform
   2. B.for an amplitude of $\frac{g}{{\omega }^2}$
   3. C.for an amplitude of $\frac{g^2}{{\omega }^2}$
   4. D.at the highest position of the platform
   Show answer

   Answer: B, D

2. Q582006 · 29 Apr 2006 · Shift 1

   The maximum velocity of a particle, executing simple harmonic motion with an amplitude $7mm$, is $4.4m/s$. The period of oscillation is

   1. A.$0.01s$
   2. B.$10s$
   3. C.$0.1s$
   4. D.$100s$
   Show answer

   Answer: A

3. Q592006 · 29 Apr 2006 · Shift 1

   Starting from the origin a body oscillates simple harmonically with a period of $2s$. After what time will its kinetic energy be $75\%$ of the total energy?

   1. A.$\frac{1}{6}s$
   2. B.$\frac{1}{4}s$
   3. C.$\frac{1}{3}s$
   4. D.$\frac{1}{12}s$
   Show answer

   Answer: A