Oscillations Te...

An elastic string of length $$\displaystyle l $$ supports a heavy particle of mass m and the system is in equilibrium with elongation produced being e as shown in the figure. The particle is now pulled down below the equilibrium position through a distance  $$\displaystyle d\left ( \leq e \right )$$ and released. The angular frequency and maximum amplitude for SHM is 

A practice is executing SHM. its time period is equal to the smallest time interval in which the particle acquires a particular velocity,$$\bar { v } $$, the magnitude of $$\bar { v } $$ may be:

A particle is performing SHM of amplitude "A" and time period "T". Find the time taken by the particle to go from 0 to A /$$\sqrt{2}$$.

Tow identical springs are connected to mass $$m$$ as shown ($$k=$$ spring constant). IF the period of the configuration in (a) is $$2s$$, the period of the configuration in (b) is

Two identical springs of spring constant $$k$$ are connected in series and paralIeI as shown in figure. $$A$$ mass $$M$$ is suspended from them. The ratio of their frequencies of vertical oscillation will be :

A particle is moving on a circular track with uniform speed. Its motion is

A simple harmonic oscillator consist of a block attached to a spring with k = 100 N/m. The block slides on a frictionless horizontal surface, with equilibrium point x = 0. A graph of block's velocity as a function of time is shown. correctly match the two column:- ($$\pi^2 = 10)$$
          List - I                                                                                    List - II   
(P) The block's mass in Kg                                                   (1) -0.20
(Q) The block's displacement at t = 0 in meters                   (2) -200   
(R) The block's acceleration at t =  0.1 s in $$m/s^2$$                (3) 0.20
(S) The block's maximum kinetic energy in joules                (4) 4.0     
                               

A particle is oscillating simple harmonically with angular frequency $$\omega$$ and amplitude $$A$$. It is at a point (A) at certain instant (shown in figure). At this instant it is moving towards mean positive (B). It takes time $$t$$ to reach position (B). If time period of oscillations is $$T$$, the average speed between $$A$$ and $$B$$ is :