Period of function is 2/5
amplitude is 7
therefore we have value of a = 7
Hence The function is d(t) = 7sin(5πt)
A mass attached to a spring is moving up and down in simple harmonic motion. The...
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...
An object with mass 3.7 kg is executing simple harmonic motion, attached to a spring with spring constant 260 N/m . When the object is 0.019 m from its equilibrium position, it is moving with a speed of 0.65 m/s . 1. Calculate the amplitude of the motion. 2. Calculate the maximum speed attained by the object.
Explain why the displacement of a weight moving up and down on a spring can be considered a form of simple harmonic motion that can be explained using a wave equation of the form y = a sin (bt + c) where t is the time. Explain the interpretation of y, a, b, c in this context.
7. An object attached with a spring undergoes simple harmonic motion, represented by the displacement = (1.0m) Cos (1.5m t) . Compare with the standard equation for simple harmonic equation: x = A cos (w t). (i) Find the amplitude of oscillation? ute ew m .s (ii) Calculate the displacement x at t 0, 1, 2, 3, 4 and 5 seconds and filled the table below (calculator should be in radian mode for finding x values ) Displacement x (m)...
A 0.8 kg mass attached to a vertical spring undergoes simple harmonic motion with a frequency of 0.5 Hz. a) What is the period of the motion and the spring constant? b) If the amplitude of oscillation is 10 cm and the mass starts at its lowest point at time zero, write the equation describing the displacement of the mass as a function of time and find the position of the mass at times 1, 2, 1.5 s, and 1.25...
An object with mass 3.9 kg is executing simple harmonic
motoon, attached to a spring with spring constant 250 N/m. When the
object is 0.018 m from its equilibrium position, it is moving with
a speed of 0.50 m/s.
A) Calculate the amplitude of the motion
B) Calculate the maximum speed attained by the object
Thank you!
An object with mass 3.9 kg is executing simple harmonic motion, attached to a spring with spring constant 250 N/m. When the object...
An object with mass 2.3 kg is executing simple harmonic motion, attached to a spring with spring constant 270 N/m . When the object is 0.015 mfrom its equilibrium position, it is moving with a speed of 0.65 m/s . A) Calculate the amplitude of the motion. B) Calculate the maximum speed attained by the object.
. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d a cos wt where d is distance from the rest position and the 0. A hand sketch may be helpful, but is not required. period is b. What is the...
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached to a spring. The other end of the spring is attached to a wall. The mass is pulled and released. The resultant simple harmonic motion has a period of 5 s and it is observed that the maximum velocity of the mass is 0.3 m/s. a) Calculate the spring constant of the spring. (b) Calculate the amplitude of the motion. Sometime later, when the...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at t=0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 3.00cm and the frequency is 1.50Hz. At what earliest time does the mass have the maximum positive acceleration (i.e. pointing in the positive x direction)? A. t=0.667 seconds B. t=1.50 seconds C. t=0.500 seconds D. t=0.167 seconds E....