Oscillations Te...

A body of mass $$5\times 10^{-3}\ kg$$ is making $$S.H.M.$$ with amplitude $$1\times10 ^{-1}m$$ with maximum velocity $$1ms^{-1}$$, its velocity will be half at displacement of

Which of the following equations do not represent a simple harmonic motion

A particle is performing simple harmonic motion having time period $$3s$$ is in phase with another particle which is also undergoing simple harmonic motion at $$t= 0$$ . The time period of second particle is T (less than 3s). If they are again in the same phase for the third time after $$45s$$, then the value of T is 

A particle is executing S.H.M. between  $$ x = \pm A. $$ The time taken to go from 0 to $$ \frac {A}{2} $$ is $$ T_1 $$ and to go from $$ \frac {A}{2} $$ to A is $$ T_2 $$ then:

A $$ 1.00 \times 10^{20} kg $$ particle is vibrating under simple harmonic motion with a period of $$  1.00 \times 10^5 s $$ and with a maximum speed of $$ 1.00 \times 10^3 m/s $$ . The maximum displacement of particle from mean position is

For a SHM with given angular frequency, two arbitrary initial conditions are necessary and sufficient to determine the motion completely.These initial conditions may be 

Springs of spring constants K, 2K, 4K, 8K, 2048 K are connected in series. A mass 'm' is attached to one end the system is allowed to oscillation. The time period is approximately :

Two simple harmonic motion a shown below are at right angles. They are combined to form Lissajous  figures. $$x ( t ) = A \sin ( a t + \delta )$$ $$y ( t ) = B \sin ( b t )$$ Identify the correct match below. Parameters curve          

The bob of a $$0.2 m$$ pendulum describes an arc of circle in a vertical plane. If the tension in the cord is $$\sqrt { 3 }$$ times the weight of the bob when the cord makes an angle $$30$$ with the vertical, the acceleration of the bob in that position is

A point mass oscillates along the $$x$$ -axis according to the law $$x = x _ { 0 } \cos ( \omega t - \pi / 4 )$$. If the acceleration of the particle is written as $$a = A \cos ( \omega t + \delta )$$ then: