Oscillations Te...

A simple harmonic motion having an amplitude $$A$$ and time period $$T$$ is represented by the equation: $$y=5\sin{\pi\left(t+4\right)}$$. Then the values of $$A$$ (in $$m$$) and $$T$$ (in $$s$$) are :

(b) When the block is at position $$B$$ on the graph. its

When the block is at position $$C$$ on the graph, its

 (b) Position of the block as a function of time can now be expressed as

A cork floating on the pond water executes a simple harmonic motion, moving up and down over a range of $$4\ cm$$. The time period of the motion is $$1\ s$$. At $$t=0$$, the cork is at its lowest position of oscillation, the position and velocity of the cork at $$t=10.5\ s$$, would be

 (b) Velocity of the block as a function of time can be expressed as

The displacement of a particle is represented by the equation
$$y = 3 \cos \left [ \dfrac{\pi }{4} - 2\omega t  \right ]$$ the motion of the particle is 

The displacement of a particle is represented by the equation $$y = \sin ^{3}\omega t$$ The motion is

The relation acceleration and displacement of four particles are given below.
Which one particle is executing simple harmonic motion?

Figure shows the circular motion of a particle. The radius of the circle, The period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P is