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

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

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

Periodic time of body moving with simple harmonic motion, is

A

Directly proportional to its angular velocity

B

Directly proportional to the square of its angular velocity

C

Inversely proportional to the square of its angular velocity

D

Inversely proportional to its angular velocity

The periodic time of a particle with simple harmonic motion is _________ proportional to the angular velocity.

A

Directly

B

Inversely

C

Square root

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

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

A

ω

B

ωr

C

ω2r

D

ω/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, 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 acceleration of a particle moving with simple harmonic motion is __________ at the mean position.

A

Zero

B

Minimum

C

Maximum

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

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

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