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

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

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

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

A

ω

B

ω.r

C

ω2.r

D

ω2/r

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 is __________ at the mean position.

A

Zero

B

Minimum

C

Maximum

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

In simple harmonic motion, acceleration of a particle is proportional to

A

Rate of change of velocity

B

Displacement

C

Velocity

D

Direction

সরল ছন্দিত গতিতে স্পন্দনরত দুটি কণার সরণ-X1=Acosωt এবং X2=Acosωt, যে কোন সময়ে এদের মধ্যে দশা পার্থক্য কত হবে? (Two particles are oscillating at simple harmonic motion. If their displacements are described by X1=Asinωt and X2 =Acosωt, what will be the phase difference between them at any instant?)

A

2π

B

π

C

π2

D

π4

সরল ছন্দিত গতিতে স্পন্দনরত দুটি কণার সরণ X1=Asinwt এবং X2=Acoswt, যে কোন সময়ে এদের মধ্যে দশা পার্থক্য কত হবে? (Two particles are oscillating at simple harmonic motion. If their displacements are described by x1 = Asinwt and x2 = Acostat, what will be the phase difference between them at any instant?)

A

2π

B

π

C

π/2

D

π/4

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

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

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