Oscillations

Q.

A particle executing simple harmonic motion has an amplitude of 6 cm. Its acceleration at a distance of 2 cm from the mean position is 8 cm/$s^2$. The maximum speed of the particle is

[EAMCET (Engg.) 2000]

1. 8 cm/s

2. 12 cm/s

3. 16 cm/s

4. 24 cm/s

Q. 10. Two particles executing SHM of same amplitude of 20 cm with same period along the same line about same equilibrium position. The maximum distance between the two is 20 cm. Their phase difference in radian is equal to 2T 3) (4) 5

Q. A boy drops a ball from rest which reaches the ground in 2.1 s. Find the maximum height from where theball is dropped to appropriate significant figures.\lbrack given g = 9.8 ms2

Q. 76.The power of a sound from the speaker of a radio is 20 milliwatt. By turning the knob of the volume control the power of the sound is increased to 400 milliwatt. The power increase in decibel as compared to the original power is (a)13 dB (b)10 dB (c)20 dB (d)800 dB

Q.

A particle executes simple harmonic motion (amplitude = A) between x = -A and x = +A. The time taken for it to go from 0 to $\frac{A}{2}$ is $T_1$ and to go from $\frac{A}{2}$ to A is $T_2$. Then

1. T₁<T₂

2. T₁>T₂

3. T₁=T₂

4. T₁=2T₂

Q.

The bob of a pendulum of length, I is pulled aside from its equilibrium position through an angle θ and then released. what will be the speed V of the bob when it pass through its equilibrium condition.

1. 

2. 

3. 

4. 

Q.

The equation y = 0.15 sin 5 x cos 300 t , describes a stationary wave. The

wavelength of the stationary wave is

[MP PMT 1995]

1. Zero

2. 2.512 metres

3. 1.256 metres

4. 0.628 metre

Q. the displacement of a harmonic oscillator is given by X equals to Alpha Sin Omega T + b cos Omega T them Period of the oscillator is given by

Q. if the frequency of an object in uniform circular motion is doubled, its acceleration becomes

Q.

A block of mass m, when attached to a uniform ideal spring with force constant k and free length L executes SHM. The spring is then cut in two pieces, one with free length nL and other with free length (1-n)L. The block is also divided in the same fraction. The smaller part of the block attached to longer part of the spring executes SHM with frequency $f_1$. The bigger part of the block attached to smaller part of the spring executes SHM with frequency $f_2$. The ratio $\frac{f_1}{f_2}$ is

1. 

2. 

3. 

4. 1

Q.

If the reference particle P moves in uniform circular motion, its projection along a diameter of the circle executes

1. circular motion

2. motion along y axis

3. motion along x axis

4. Simple Harmonic motion

Q.

What will be the phase difference between bigger pendulum (with time period 5T/4 )and smaller pendulum (with time period T) after one oscillation of bigger pendulum?

1. π/2

2. π

3. π/3

4. π/4

Q. Obtain the eqn of SHM of a particle whose amplitude is 0.02m , and whose frequency is 25hz. The initial phase is pi/4. Do it using both sin and cos . willee ve same in both the cases.s.

Q. A paticle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to -(k/r2), where k is cons†an t.what is the total energy of the particle

Q. Two particles are executing SHM with the same amplitude and frequency, but with a phase difference, and the maximum separation found is equal to amplitude. What is the phase difference?

Q. What is centripetal and centrifugal force. What is difference among centripetal and centrifugal?

Q. The density $\rho$ of a liquid varies with depth $h$ from the free surface as $\rho =kh$. A small body of density ${\rho }_1$ is released from the surface of the liquid. The body executes $SHM$ with amplitude

1. $\frac{2{\rho }_1}{k}$
2. $\frac{{\rho }_1}{k}$
3. $\frac{\sqrt{3}{\rho }_1}{k}$
4. $\frac{\sqrt{2}{\rho }_1}{k}$

Q. Which of these situations shown are in stable equilibrium?

1. 

2. 

3. 

4. 

Q.

A particle of mass 10 grams is executing simple harmonic motion with an amplitude of 0.5 m and periodic time of (π/5) seconds. The maximum value of the force acting on the particle is

[MP PET 1999; MP PMT 2000]

1. 25N

2. 5N

3. 2.5N

4. 0.5N

Q.

If a spring is cut into two identical pieces what change occur for the spring constant ?

Q. What is the difference between kinetic energy and potential energy? Explain in detail with their respective derivation.

Q. 15.Two particles are eecuting SHM of same amplitude and frequency along the same straight line path. They pass each other when going in opp. diretion each time thier displacement is \sqrt{}3/2times of thier amplitude. What is the phase difference between them

Q.
In which of the cases, the ball supposed to be in Equilibrium, if net force on ball in each case is zero. (Here we are only talking about translation equilibrium, not rotational)

1. Mountain
2. Plain
3. Valley
4. All

Q. the amplitude of a simple harmonic oscillator is doubled. How does this affect the maximum velocity, the total energy and the period of oscillator?

Q. Two particles P and Q describe SHM of same amplitude a and frequency v along the same straight line.The maximum dis†an ce between two particles is \sqrt{2a} , The initial phase difference between the paticles is :

Q. why is restoring force necessary for a body to execute S.H.M.

Q. If speed of light, acceleration due to gravity and pressure are taken as fundamental quantity, then what are the dimensions of gravitational constant

Q. Two particles are eecuting SHM of same amplitude and frequency along the same straight line path. They pass each other when going in opp. diretion each time thier displacement is 3/2times of thier amplitude. What is the phase difference between them

Q.

why are the passengers sitting in the vehicle thrown outwards , when the vehicle rounds a curve suddenly ?

Q. Two particles are executing SHM with the same amplitude and frequency, but with a phase difference, and the maximum separation found is equal to amplitude. What is the phase difference?