When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring.)

A

$$2\pi \sqrt {\frac{g}{\delta }} $$

B

$$\frac{1}{{2\pi }}\sqrt {\frac{g}{\delta }} $$

C

$$2\pi \sqrt {\frac{\delta }{g}} $$

D

$$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{g}} $$

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring)

A

$$2\pi \sqrt {\frac{{\text{g}}}{\delta }} $$

B

$$\frac{1}{{2\pi }}\sqrt {\frac{{\text{g}}}{\delta }} $$

C

$$2\pi \sqrt {\frac{\delta }{{\text{g}}}} $$

D

$$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{{\text{g}}}} $$

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

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 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 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

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

A body is said to move with Simple Harmonic Motion if its acceleration, is

A

Always directed away from the centre, the point of reference

B

Proportional to the square of the distance from the point of reference

C

Proportional to the distance from the point of reference and directed towards it

D

Inversely proportion to the distance from the point of reference

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

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

A

Zero

B

Minimum

C

Maximum

D

None of these

When the body is suspended at the point of suspension, its periodic time and frequency will be ________ as compared to the body suspended at the point of percussion.

A

Same

B

Two times

C

Four times

D

None of these

When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

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