Oscillations Te...

A simple harmonic wave in a medium is given by,(y is in centimeters) $$ y=\frac { 10 }{ \pi  } sin (2000{ \pi  }t- \frac { \pi x }{ 17 } )$$
The maximum velcocity of a particle executing tha wave is

A particle starts simple harmonic motion from the mean position. Its amplitude is a and total energy E. At one instant its kinetic energy is 3E/4. Its displacement at the instat is-

A mass is suspended from a wire and is pulled along the length of wire, resulting in oscillations of time period $$T_{1}$$. The same mass is next attached to wire of the same material and length but double the cross-sectional area. The time period this time $$T_{2}$$. Then $$T_{1}/T_{2}$$ is equal to

Oscillatory or vibrating motion means to and fro motion

Two particles $$P$$ and $$Q$$ start from origin and execute simple harmonic motion along $$X-$$ axis with same amplitude but with periods $$3\  s$$ and $$6\  s$$ respectively. The ratio of the velocities of $$P$$ and $$Q$$ when they meet is 

The time period of a particle executing $$SHM$$ is $$8\ s$$. At $$t = 0$$ it is at the mean position. The ratio of distance covered by the particle in $${ 1 }^{ st }$$ second to the $${ 2 }^{ nd }$$ second is

Initially the spring is undeformed. Now the force $$F$$ is applied to $$B$$ as shown. When the displacement of $$B$$ w.r.t $$A$$ is $$x$$ towards right in some time then the relative acceleration of $$B$$ w.r.t $$A$$ at the moment is:

Two charges each $$+5\mu C$$ are at $$(0, \pm 3)$$. A third charge of $$1\mu C$$ and of mass $$2g$$ is at $$(4, 0)$$. What is the minimum velocity to be given to the $$1\mu C$$ charge such that it just reaches the origin (in $$ms^{-1}$$)?

A particle is executing SHM about $$\gamma =0$$ along y- axis.Its position at an instant is given by $$\gamma =(7m)$$ sin(πt) its average velcocity for a time interval 0 to 0.5 s  is

Two springs of force constants $${k}_{1}$$ and $${k}_{2}$$ are connected to a mass $$m$$ as shown. The frequency of oscillation of the mass is $$f$$. If both $${k}_{1}$$ and $${k}_{2}$$ are made four times their original values, the frequency of oscillation becomes: