The phase difference between the acceleration of a particle executing simple harmonic motion and the instantaneous velocity is?

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is ___________

A

0.5π

B

π

C

0.707 π

D

0.61 π

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

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

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

A

True

B

False

A particle executing simple harmonic motion has amplitude 0.01 and frequency 60Hz. The maximum acceleration of the particle is ___________

A

144 π2 m/s2

B

80 π2 m/s2

C

120 π2 m/s2

D

60 π2 m/s2

A particle is executing simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true?

A

It is always in the opposite direction to velocity

B

It is proportional to the frequency of oscillation

C

It is minimum when the speed is maximum

D

It decreases as the potential energy increases

If the equation of motion of a particle moving along the y-axis is y = P + Q sin ωt, the particle must be executing simple harmonic motion with amplitude

A

P

B

Q

C

P + Q

D

\(\sqrt {{P^2} + {Q^2}} \)

When a stone thrown directly upwards reaches the top, it: A. Velocity and acceleration are zero. B. The velocity is zero and the acceleration is about 10 m/s2. C. Velocity is about 10 m/s and acceleration is zero. D. The velocity is about 10 m/s and the acceleration remains the same.

A

C

B

D

C

B

D

A

A particle is executing simple harmonic motion of amplitude 10cm. Its time period of oscillation is π seconds. The velocity of the particle when it is 2 cm from extreme position is ___________

A

10 cm/s

B

12 cm/s

C

16√16 cm/s

D

16 cm/s

A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

A

1.00 m/sec

B

1.57 m/sec

C

3.14 m/sec

D

6.28 m/sec

The phase difference between the acceleration of a particle executing simple harmonic motion and the instantaneous velocity is?

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