$$ \text { Match List - I with List - II. } $$
| $$ \text { List - I } $$ |
$$ \text { List - II } $$ |
||
|---|---|---|---|
| A. | $$ \sin ^2 \omega t $$ |
I. | Periodic with time period $T=\frac{\pi}{\omega}$ but not simple harmonic motion (SHM) |
| B. | $$ \sin ^3(2 \omega t) $$ |
II. | Periodic with time period $T=\frac{2 \pi}{\omega}$ but Not SHM |
| C. | $$ \sin (\omega t)+\cos (\pi \omega t) $$ |
III. | Periodic with time period $T=\frac{\pi}{\omega}$ and SHM |
| D. | $$ \cos \omega t+\cos 2 \omega t $$ |
IV. | Non-periodic |
Choose the correct answer from the options given below :
A uniform disc of radius $R$ and mass $M$ is free to oscillate about the axis $A$ as shown in the figure. For small oscillations the time period is $\_\_\_\_$ .
(g is acceleration due to gravity)
The equation of motion of a particle is given by $x = a \sin(50t + \pi/3)$ cm. The particle will come to rest at time $t_1$ and it will have zero acceleration at time $t_2$. The $t_1$ and $t_2$ respectively are ________.
As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses $1 \text{ kg}$ and $0.2 \text{ kg}$ with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is :
JEE Main Subjects
Browse all chapters by subject