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

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

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

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed must he cycles to get there at noon?

A

11 km/hr

B

12 km / hr

C

13 km / hr

D

14 km / hr

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

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

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

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

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

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 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

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

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

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