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.

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

A

True

B

False

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

The maximum velocity and maximum acceleration of a body moving in a simple harmonic motion are 2m/s and 4m/s2 respectively. What will be the angular velocity?

A

4 rad/sec

B

3 rad/sec

C

2 rad/sec

D

8 rad/sec

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

The magnitude of acceleration of particle executing simple harmonic motion at the position of maximum displacement is?

A

Zero

B

Minimum

C

Maximum

D

Infinity

A particle executes simple harmonic motion with an angular velocity of 3.5 rad/sec and maximum velocity acceleration 7.5 m/s2 respectively. What is the amplitude of oscillations?

A

0.28m

B

0.36m

C

0.707m

D

Zero

Consider the following statements.
1. Negative acceleration means velocity increasing with time.
2. A body is said to have non-uniform acceleration, if either magnitude or direction or both of them change during motion.
3. Zero acceleration means, velocity is uniform.
Which of the statements given above is/are correct?

A

1 and 2

B

2 and 3

C

1 and 3

D

Only 2

A particle in uniform circular motion is projected on its diameter. The motion of projection will be simple harmonic. Select the correct option regarding speed and acceleration of the particle in circular motion.

A

Speed is constant, acceleration is zero

B

Speed is constant, acceleration is non-zero

C

Speed changes, acceleration is non-zero

D

Speed changes, acceleration is zero

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 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

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.

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