In a simple harmonic motion, the velocity vector with respect to displacement vector

Statement: In simple harmonic motion, the velocity is maximum, when the acceleration is minimum. Reason: Displacement and velocity in simple harmonic motion is differ in phase by π/2.

A

Both statement and reason are true and the reason is the correct explanation of the statement

B

Both statement and reason are true but the reason is not the correct explanation of the statement

C

Statement is true, but the reason is false

D

Statement and reason are false

Every simple harmonic motion is periodic motion, but every periodic motion need not be simple harmonic motion.

A

True

B

False

Match the following Types of mechanism Motion achieved P. Scott Russel mechanism 1. Intermittent motion Q. Geneva mechanism 2. Quick return motion R. Off set slider crank mechanism 3. Simple harmonic motion S. scotch Yoke mechanism 4. Straight line motion

A

P-2,Q-3,R-1,S-4

B

P-3,Q-2,R-4,S-1

C

P-4,Q-1,R-2,S-3

D

P-4,Q-3,R-1,S-2

Wave has simple harmonic motion whose period is 4seconds while another wave which also possesses simple harmonic motion has its period 3sec. If both are combined, then the resultant wave will have the period equal to ___________

A

4sec

B

5sec

C

12sec

D

3sec

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

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

Statement: In simple harmonic motion, the motion is to and fro and periodic. Reason: Velocity of the particle, v=ω√(a2-x2) Where x is displacement.

A

Both statement and reason are true and the reason is the correct explanation of the statement

B

Both statement and reason are true but the reason is not the correct explanation of the statement

C

Statement is true, but the reason is false

D

Statement and reason are false

A body is executing the simple harmonic motion with an angular frequency of 2rad/sec. Velocity of the body at 20m displacement, when amplitude of motion is 60m, is ___________

A

90 m/s

B

118 m/s

C

113 m/s

D

131 m/s

If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion from one extreme to other extreme is?

A

2V/π

B

4V/π

C

V/2π

D

2V/3π

If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion?

A

2V/π

B

4V/π

C

V/2π

D

2V/3π

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

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

In a simple harmonic motion, the velocity vector with respect to displacement vector

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