The maximum velocity of a particle moving with simple harmonic motion is

The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion and y = Displacement of the particle from mean position.)

A

$$\omega \sqrt {{{\text{y}}^2} - {{\text{r}}^2}} $$

B

$$\omega \sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$

C

$${\omega ^2}\sqrt {{{\text{y}}^2} - {{\text{r}}^2}} $$

D

$${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{y}}^2}} $$

The velocity of a particle moving with simple harmonic motion, at any instant is given by (where $$\omega $$ = Displacement of the particle from mean position)

A

$$\omega \sqrt {{{\text{x}}^2} - {{\text{r}}^2}} $$

B

$$\omega \sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$

C

$${\omega ^2}\sqrt {{{\text{x}}^2} - {{\text{r}}^2}} $$

D

$${\omega ^2}\sqrt {{{\text{r}}^2} - {{\text{x}}^2}} $$

A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

A

The extreme point of the oscillation

B

Through the mean position

C

Through a point at half amplitude

D

None of these

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

A

Half oscillation

B

Quarter oscillation

C

Complete oscillation

D

None of these

The velocity of a particle moving with simple harmonic motion is _________ at the mean position.

A

Zero

B

Minimum

C

Maximum

D

None of these

The maximum acceleration of a particle moving with simple harmonic motion is

A

ω

B

ω.r

C

ω2.r

D

ω2/r

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

A

Proportional to A

B

Proportional to A²

C

Proportional to $$\frac{1}{{{{\text{A}}^2}}}$$

D

Independent of A

একটি কণা A বিস্তারে সরল ছন্দিত স্পন্দনে স্পন্দিত হচ্ছে। সাম্যাবস্থা থেকে কত দূরত্বে কণাটির বিভব শক্তি তার মোট শক্তির এক-চতুর্থাংশ হয়? (A particle is executing Simple Harmonic Motion with an amplitude A. At what displacement from the equilibrium position, is the potential energy of the particle one-fourth of its total energy?)

A

A/4

B

A/2

C

A/√2

D

A√2

The acceleration of the particle moving with simple harmonic motion is _________ at the mean position.

A

Zero

B

Minimum

C

Maximum

D

None of these

The acceleration of a particle moving with simple harmonic motion, at any instant is given by

A

$$\omega {\text{y}}$$

B

$${\omega ^2}{\text{y}}$$

C

$$\frac{{{\omega ^2}}}{{\text{y}}}$$

D

$${\omega ^3}{\text{y}}$$

The maximum velocity of a particle moving with simple harmonic motion is

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