Simple Harmonic Motion (S.H.M.)

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What is the phase difference between two particles executing S.H.M. of same amplitude and frequency along the same straight line?

90o

60o

30o

120o (correct)

What is the acceleration of a particle performing S.H.M. related to?

Amplitude of the motion

Time period of the motion

Distance from the mean position (correct)

Frequency of the motion

What is the equation of S.H.M.?

y = a sin(ωt + φ) (correct)

y = a cot(ωt + φ)

y = a cos(ωt + φ)

y = a tan(ωt + φ)

What is the maximum velocity of a particle performing S.H.M.?

ωA Signup and view all the answers

What is the time period of a particle performing S.H.M. related to?

Frequency of the motion Signup and view all the answers

What is the maximum acceleration of a particle in simple harmonic motion?

ω²a Signup and view all the answers

What is the phase of a particle executing simple harmonic motion when it has maximum velocity?

0 Signup and view all the answers

What is the equation of motion of a particle in simple harmonic motion?

y = a sin(ωt + φ) Signup and view all the answers

What is the amplitude of a particle in simple harmonic motion when its kinetic energy and potential energy are equal?

a/2 Signup and view all the answers

What is the time period of a particle in simple harmonic motion with angular frequency ω?

2π/ω Signup and view all the answers

What is the time period of the simple harmonic motion given by the equation x = 0.01 sin(100π(t + 0.05))?

0.02 sec Signup and view all the answers

What is the amplitude of the simple harmonic motion given by the equation x = 0.16 cos(πt + π)?

0.16 m Signup and view all the answers

If a mass is attached to a spring and oscillates with a time period of 2 sec, what is the phase of the motion at t = 0 if the displacement is x = –0.16 m?

π Signup and view all the answers

What is the maximum velocity of a simple harmonic motion given by the equation x = a cos(ωt)?

aω Signup and view all the answers

What is the acceleration of a simple harmonic motion given by the equation x = a cos(ωt)?

-aω^2 Signup and view all the answers

What is the significance of the time period in a periodic motion?

It is the least interval of time after which the periodic motion of a body repeats itself. Signup and view all the answers

What is the relationship between the angular frequency and the frequency of a body executing periodic motion?

ω = 2πn Signup and view all the answers

What is the physical quantity that undergoes a change with time in a periodic motion?

Displacement Signup and view all the answers

What is the characteristic of a harmonic oscillation?

It can be expressed in terms of a single harmonic function. Signup and view all the answers

What is the unit of angular frequency?

Radian per second (rad/sec) Signup and view all the answers

What is the frequency of the kinetic energy or potential energy of a particle in simple harmonic motion?

double the frequency of S.H.M. Signup and view all the answers

At which position is the kinetic energy of a particle in simple harmonic motion maximum?

at the mean position Signup and view all the answers

What is the relation between the total energy of a particle in simple harmonic motion and its angular frequency?

E ∝ ω^2 Signup and view all the answers

What is the phase difference between the kinetic energy and potential energy of a particle in simple harmonic motion?

π/2 Signup and view all the answers

What is the time period of the kinetic energy or potential energy of a particle in simple harmonic motion?

half the time period of S.H.M. Signup and view all the answers

What is the characteristic of the position of a body in simple harmonic motion, where the net force acting on it is zero?

It is always at the mean position Signup and view all the answers

What is the relationship between the velocity and acceleration of a body in simple harmonic motion?

The velocity is inversely proportional to the acceleration Signup and view all the answers

What is the effect of increasing the angular frequency of a simple harmonic motion on its amplitude?

The amplitude decreases Signup and view all the answers

What is the nature of the energy of a body in simple harmonic motion?

It is a combination of kinetic and potential energy Signup and view all the answers

What is the characteristic of the motion of a body in simple harmonic motion, in terms of its displacement and time?

The displacement is a sinusoidal function of time Signup and view all the answers