Determine the amplitude A, angular frequency , and phase constant for each of the simple harmonic motions shown in Fig. 15-33. (The y axis is marked in increments of 25 cm and the x axis is marked in increments of 15 s.)
Determine the amplitude A, angular frequency , and phase constant for each of the simple harmonic...
4. A particle is subjected simultaneously to two simple harmonic motions of the same angular frequency 2Ts and in the same direction. If their amplitudes are 4 cm and 3 cm respectively and the phase of the second component relative to the first is 90, find the amplitude of the resultant displacement and its phase relative to the first component. Write down the equation of resultant oscillations
I. A mass oscillating on a spring has a phase constant φο- rad, an angular frequency w = π rad/s and an amplitude A-4.0 cm. (a) Draw a circle of radius 4.0 cm and indicate on the circle the phase constant, if the simple harmonic motion is well-described by the r-component of uniform circular motion with the same angular speed as this angular frequency. /4 (d) Sketch a graph of r versus t. Include two periods in your time axis...
I. A mass oscillating on a spring has a phase constant φο- rad, an angular frequency w = π rad/s and an amplitude A-4.0 cm. (a) Draw a circle of radius 4.0 cm and indicate on the circle the phase constant, if the simple harmonic motion is well-described by the r-component of uniform circular motion with the same angular speed as this angular frequency. /4 (d) Sketch a graph of r versus t. Include two periods in your time axis...
1. The amplitude of simple harmonic motion is 4 cm, a velocity at its equilibrium position is 2 m/s. Find the angular frequency of these oscillations and their period
The following function represents a mass undergoing simple harmonic motion. x(t)=5.0cos(0.40t+0.10) in SI Units A) Determine the amplitude B) Determine the angular frequency. C) Determine the frequency D) Determine the period E) Determine the phase constant. F) Determine the function which represents the velocity as a function of time.
A simple harmonic oscillator of mass 0.400 kg oscillates with frequency 1.50 Hz. At t0, the oscillator is at position x 4.00 cm and is moving right with speed 42.0 cm/s a) Find the amplitude and phase constant for the oscillator. b) Write the equation for displacement of the oscillator (with numbers) c) Find the position, velocity, and acceleration at t 3.00 s. di Find the first tw o times the oscillation has position x -2 .75 cm.
A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency 5.0 Hz. Assume that the cart is at x=−A when t=0. a. Determine the period of vibration. b. Write an expression for the cart's position as a function of time. c. Determine the position of the cart at 0.050 s. d. Determine the position of the cart at 0.100 s.
Can someone explain how time was solved? An object in simple harmonic motion has an amplitude of 4.0 cm, a frequency of 2.0 Hz, and a phase constant of 2pi/3 rad. Draw a position graph showing two cycles of the motion. The following table gives the position of the object at different times. x cm 2.0 0.083-4.0 0.3334.0 0.583-4.0 0.8.3334.0 1.083 -4.0
3 An object in simple harmonic motion has amplitude 3.0 cm and frequency 4.0 Hz, and t-0s it passes through the equilibrium point moving to the right. Write the function (x(t) that describes the object's position.
1) A 12.3 kg particle is undergoing simple harmonic motion with an amplitude of 1.86 mm. The maximum acceleration experienced by the particle is 7.93 km/s2. (a) Find the period of the motion. (b) What is the maximum speed of the particle? (c) Calculate the total mechanical energy of this simple harmonic oscillator. 2) The orbit of the Moon around the Earth as projected along a diameter can be viewed as simple harmonic motion. Calculate the effective force constant k...