Oscillations Te...

If the equation of an SHM is $$y =asin(4\pi t+\theta)$$,how much is its frequency?  

For a particle executing SHM along xx- axis force is given by: 

If a simple pendulum is taken to a place where g decreases by 2%, then the time period

A particle has displacement y given by y=3 sin $$(5 \pi t + \pi)$$ where y is in metre and t is in second. What are frequency and period of motion?

Two pendulums have time periods $$  T  $$ and 5 $$  T / 4 $$They start SHM at the same time from the mean position. After how many oscillations of the small pendulum they will be again in the same phase?

If the equation of an SHM is y=a sin $$(4 \pi t + \theta)$$, how much is its frequency?

The oscillation of a body on a smooth horizontal surface is represented by the equation, 
$$X=A\cos{(\omega t)}$$
where $$X=$$ displacement at time $$T,\omega=$$ frequency of oscillation
Which one of the following graphs shows correctly the variation $$a$$ with $$t$$?
Here $$a=$$ acceleration at time, $$T=$$ time period

A small spherical steel ball is placed a little away from the centre of a large concave mirror whose radius of curvature $$R=2.5cm$$. When the ball is released it begins to oscillate about the centre, the motion of the ball is is simple harmonic then the period of motion is Neglect friction, and take $$g=10m/{sec}^{2}$$.

The reading of a spring balance when a block is suspended from it in air is $$60 N$$. The reading is changed to $$40 N$$ when the block is submerged in water. The specific gravity of the block must be therefore.

The equation of a particle in $$S.H.M$$ is $$a+16{\pi}^2x=0$$. In the equation $$'a'$$ is the linear acceleration (in $$m/sec^2$$) of the particle at a displacement $$'x'$$ in meter. The time period of $$SHM$$ in seconds is :