The velocity of a body moving with simple harmonic motion is __________ at the mean position.

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

A

Zero

B

Minimum

C

Maximum

D

None of these

A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is

A

v

B

2v

C

4v

D

8v

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

A

ω

B

ωr

C

ω2r

D

ω/r

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

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A

Oscillation

B

Amplitude

C

Periodic time

D

Frequency

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 velocity of a body moving with simple harmonic motion is __________ at the mean position.

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