here i am using displacement of simple harmonic motion when it passing through mean position , example is simple pendulum x(t) = A sin (wt)
Please show all steps 3 An object in simple harmonic motion has amplitude 3.0 cm and...
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.
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
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.
An object is undergoing simple harmonic motion in the -direction such that is equilibrium position is at z 0. At time t 0 the objects position, velocity, and acceleration are z = 0.448 m, u = 0.207 m/s, and a =-0.359 rn/82. respectively. For radians, enter 'rad" as the unit. For a full list of accepted units, use the "Units Help" link below. (a) What is the angular frequency of the object's motion? Number Units (b) What is the amplitude...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
A particle moves in simple harmonic motion with a frequency of 3.80 Hz and an amplitude of 5.50 cm. (a) Through what total distance does the particle move during one cycle of its motion? cm (b) What is its maximum speed? cm/s Where does this maximum speed occur? as the particle passes through equilibrium at maximum excursion from equilibrium exactly halfway between equilibrium and maximum excursion none of these (c) Find the maximum acceleration of the particle. m/s^2 Where in...
An object with mass 3.0 kg is executing simple harmonic motion, attached to a spring with spring constant 290 N/m . When the object is 0.016 m from its equilibrium position, it is moving with a speed of 0.50 m/s . a) Calculate the amplitude of the motion. Express your answer to two significant figures and include the appropriate units. b) Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate...
What I don’t understand is how to draw out the phase constant. Please clearly and legibly explain it. An object in simple harmonic motion has an amplitude of 4.0 cm, a frequency of 2.0 Hz, and a phase constant of π rads. a. Draw a position vs. time graph showing two cycles b Write a function x(0) that describes the object's position. 3.
1a. The function a=-2π^2 cm/s cos(πs^-1t) describes the simple harmonic motion of an object. Identify the amplitude, frequency, and period. 1b. What is the maximum speed of this oscillator?
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is2.50 cm, and the frequency is 1.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t, and ?.) x = (b) Determine the maximum speed of the particle. cm/s (c) Determine the earliest time (t...