Umakant Kondapure, Collin Fernandes, Nipun Bhatia, Vikram Bathula and, Ketki Deshpande Solutions for Chapter: Oscillations, Exercise 1: Classical Thinking

The S.I. unit of damping constant is
 

Which of the following figure represents damped S.H.M.?

A mass $M$ is suspended from a light spring. An additional mass $m$ added displaces the spring further by a distance $x$. Now the combined mass will oscillate on the spring with period
 

In arrangement given in the figure, if the block of mass $m$ is displaced, the frequency is given by

Two strings $A$ and $B$ have force constants $k_1$ and $k_2$respectively. The ratio of the work done on $A$ to that done on $B$ when they are stretched by the same force is
 

A block resting on the horizontal surface executes S.H.M. in the horizontal plane with amplitude $A$. The frequency of oscillation for which the block just starts to slip is $(\mu =$ coefficient of friction, $g$= gravitational acceleration)
 

The oscillation of a body on a smooth horizontal surface is represented by the equation, $x=A\cos \left(\omega t\right)$
where  $x$= displacement at time $t$

$\omega =$ frequency of oscillation

Which one of the following graphs shows correctly the variation a with $t$?

The equation of a damped simple harmonic motion is $m\frac{{\mathit{d}}^{\mathit{2}}\mathit{x}}{\mathit{d}{\mathit{t}}^{\mathit{2}}}\mathit{+}p\frac{\mathit{d}\mathit{x}}{\mathit{d}\mathit{t}}\mathit{+}kx=0.$ Then the angular frequency of oscillation is