Question

Consider the following statements:

I. The motion of a spring-mass system is a SHO

II. The motion of a pendulum whose amplitude is less than 15 degrees is a SHO

Which of the following is true?

a. Statement I is true but statement II is false.

b. Statement I is false but statement II is true.

c. both statements are true.

d. Both statements are false.

Is an oscillator whose restoring force is F = -kx^2 a simple harmonic oscillator?

A sping-mass system has k=345 N/m and m=0.020kg. What is the frequency of oscillation of this system? (answer in Hz)

A spring-mass system has k=345 N/m and m=0.020kg. The amplitude of its oscillation is A=0.12m.

1. what is the total energy of the system?

2. What is the maximum speed of the mass?

3. What is the displacement when the mass is moving at 2.5 m/s?

How long a string do you need to make a pendulum with a period of 1.00s?

Which kind of damped simple harmonic oscillator oscillates many times before coming to a stop?

When is a driven SHO in resonance?

a. when the driving frequency is larger than the natural frequency of the SHO.

b. When the driving frequency is smaller than the natural frequency of the SHO.

c. When the driving frquency is the same as the natural frequency of the SHO.

Which of the followings is a true statement about a wave?

a. frequency = wave speed x wavelenth

b. wave speed = frequency x wavelength

c.. wavelength = frequency x wave speed

A wave whose disturbance is perpendicular to the direction of propagation is a ____ wave.

A wave whose disturbance is parallel to the direction of propagation is a ____ wave.

A guitar string has a length of 0.540m with a tension such that the wave speed on the string is 126 m/s.

1. What is the wavelength of the fundamental frequency? (answer in m)

2. What is the frequency of the fundamental? (answer in Hz)

3.What is the wavelenth of the 3rd harmonics (second overtones)? (answer in m)

4. What is the frequency of the 3rd harmonic? (answer in Hz)

Answer 1

1.Spring force, F=-kx, acceleration of the mass is directly proportional to its displacement and opposite to it. For small angles, pendulum executes angular SHO. Hence, both the statements are true.

2. No, it would not be a Simple Harmonic oscillator but a complex one.