Question

The resulting oscillation composed by two parallel oscillations and the same amplitude is given by the...

The resulting oscillation composed by two parallel oscillations and the same amplitude is given by the equation:

x(t)=Acos(2t)cos(50t),

Determine:

a) the amplitude of component oscillations

b) pulsations of component oscillations( omega)

c)the period of beates resulting from the composition of the two oscillations

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The equation describing the position of a particle executing simple harmonic oscillation is x = 20...
The equation describing the position of a particle executing simple harmonic oscillation is x = 20 cos(30pi t), where x is in meters and t is in seconds. Find a) the period of the oscillation b) the amplitude of the oscillation c) the phase at times t1 = 1/180 s and t2 = 1/90 s, and d) the position, the velocity, and the acceleration at those times t1 and t2.
Two traveling waves with the same amplitude A, frequency f, and wavelength λ, but out of...
Two traveling waves with the same amplitude A, frequency f, and wavelength λ, but out of phase with each other by one quarter of a wavelength, are both traveling to the right and superpose in space. Find the amplitude, wavelength, and frequency of the resulting wave in terms of the given symbols. Write the equation of the resulting traveling wave y ( x , t ).
A mass is attached to the end of a spring and set into oscillation on a...
A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (6.6 cm)cos[2?t/(1.58 s)]. Determine the following. (a) period of the motion s (b) frequency of the oscillations Hz (c) first time the mass is at the position x = 0 (d) first time the mass is at the site of maximum...
*I NEED ALL THE QUESTIONS ANSWERS* 1.When the period of oscillation decreases, the (a) amplitude increases,...
*I NEED ALL THE QUESTIONS ANSWERS* 1.When the period of oscillation decreases, the (a) amplitude increases, (b) frequency    increases, (c) wavelength increases, (d) frequency decreases. 2.Sound is (a) transverse wave, (b) longitudinal wave, (c) standing wave, (d) magnetic wave. 3.When two waves interfere, which of the following add? (a) wavelength, (b) frequency, (c) phase, (d) amplitude. 4.The wave speed is equal to (a) the ratio of the frequency and wavelength, (b) the ratio of the frequency and the period, (c)...
A mass of 0.12 kg is attached to a spring and set into oscillation on a...
A mass of 0.12 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.42 m)cos[(14 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass (b) force constant for the spring (c) position of the mass after it has been oscillating for one half a period (d) position of the mass one-third of a period after it has been released...
A mass of 0.520 kg is attached to a spring and set into oscillation on a...
A mass of 0.520 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.780 m)cos[(18.0 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period (d) position of the mass one-third of a period after it has been...
A mass of 0.380 kg is attached to a spring and set into oscillation on a...
A mass of 0.380 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.800 m)cos[(10.0 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass ____m (b) force constant for the spring ____ N/m (c) position of the mass after it has been oscillating for one half a period ______ m (d) position of the mass one-sixth of a period...
(1A) A vertical spring with a spring constant of 8 N/m and damping constant of 0.05...
(1A) A vertical spring with a spring constant of 8 N/m and damping constant of 0.05 kg/s has a 2 kg mass suspended from it. A harmonic driving force given by F = 2 cos(1.5 t ) is applied to the mass. What is the natural angular frequency of oscillation of the mass? What is the amplitude of the oscillations at steady state? Does this amplitude decrease with time due to the damping? Why or why not? (1B) Two traveling...
he equation of motion of a simple harmonic oscillator is given by x(t) = (7.4 cm)cos(12πt)...
he equation of motion of a simple harmonic oscillator is given by x(t) = (7.4 cm)cos(12πt) − (4.2 cm)sin(12πt), where t is in seconds.Find the amplitude. m (b) Determine the period. s (c) Determine the initial phase. °
If the instantaneous value of a voltage in an AC circuit of the communication system (at...
If the instantaneous value of a voltage in an AC circuit of the communication system (at any time t seconds) is given by V= 142sin(8πt-0.125π) volts, determine: a. The amplitude, b. Periodic time (in ms) c. Frequency d. Phase angle in degrees e. Voltage at t=0 f. Voltage at t=10ms g.Time when voltage reaches 100volts h. Time when voltage is maximum i. Sketch one cycle of the waveform j. Given that the voltage waveform can also be represented as V=Rsin(ωt+θ),...