Oscillations Te...

A man of mass 60 kg, standing on a platform, is executing SHM in a vertical plane. The displacement from mean position is $$y = 0.5 sin (2\pi t)$$. The minimum value of frequency ($$f$$) for which the man will feel weightlessness at the highest point is :

$$ T _{1}$$, $$ T _{2}$$ are time periods of oscillation of a block individually suspended to spring of force constants $$ K _{1}$$ ,$$ K _{2}$$ respectively. If same block is suspended to parallel combination of same two springs, its time period is

An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is $$15 cm/sec$$ and the period is $$628$$ milliseconds. The amplitude of the motion in centimeters is:                           

The time period of oscillation of a particle that executes S.H.M. is $$1.2 sec$$. The time starting from extreme position, its velocity will be half of its velocity at mean position is 

A simple harmonic oscillation is represented by the equation $$ y = 0.4 \sin(440t/7+0.61) $$ where $$y$$ and $$t$$ are in meters and seconds respectively, the value of time period is :

The equation for the displacement of a particle executing SHM is y = {5 sin 2$$ \pi $$ t }cm. Then the velocity at 3 cm from the mean position is 

A particle executing SHM has velocities $$20$$ cm/s and $$16$$ cm/s at displacements $$4$$ cm and $$5$$ cm from its mean position respectively. Its time period is

The velocity of a particle in SHM at the instant when it is $$0.6$$ cm away from the mean position is $$4$$ cm /sec. If the amplitude of vibration is $$1$$ cm then its velocity at the instant when it is $$0.8$$cm away from the mean position is:

Two S.H.M.'s are represented by the relations $$ x=4sin(80t+\pi /2) $$ and $$ y=2cos(60t+\pi/3) $$.

The displacement of a particle executing S.H.M. is given by $$ y = 10 \sin (6t+\pi/3) $$ in metre and time in seconds. The initial displacement and velocity of the particle are respectively :