An object of mass 0.1 kg is attached to a spring of negligible mass and is executing simple harmonic oscillation with an angular frequency of 3 rad/s. If vx(0) = +0.5 m/s and x(0) = −0.1 m, what is the phase φ? The general solution for such an oscillator is x(t) = A cos(ω t + φ).
An object of mass 0.1 kg is attached to a spring of negligible mass and is...
(c) A mass-spring oscillator consisting of a 250 g mass attached to a spring (assumed to be ideal) has a period of oscillation of 0.20 s. Calculate the spring constant for the spring. [5 marks] (d) An object executing simple harmonic motion passes through the equilibrium (zero displacement) position with a velocity of + 2.00 ms. The next time it passes through the equilibrium position is 1.25 seconds later. What is the amplitude of the oscillation? [5 marks] (e) A...
A mass of 0.24 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 7. x()(0.46 m)cos (12 rad/s)r]. Determine the following. (a) Amplirude of oscillation for the oscillating mass. (b) Period of the oscillation for the oscillating mass. 523 (c) Force constant (spring constant) for the spring. (d) Position of the mass after it has been oscillating for one half a period. 1.Gon NG...
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) = (0.22 m)cos[(14 rad/s)t]. Determine the following. Figured out all parts except: (e) time it takes the mass to get to the position x = −0.10 m after it has been released
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(wt - φ). The positive y-axis...
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 3.5 kg is attached to a spring with spring stiffness constant k = 250 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. _______________________________ m (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.] _______________________________ m/s
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.
A 0.82 kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing. Determine the following. amplitude A of the motion m angular frequency omega rad/s spring constant k N/m speed of the object at t=...
a mass of 0.5 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)= (0.5m)cos[(18 rad/s) t]. Determine the following: a. position of the mass after it has been oscillating for one half a period b. position of the mass one-third of a period after it has been released c. the time it takes to get to the position x= -0.1m after it has...
A mass of 0.28 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) = (0.34 m) cos((20 rad/st]. 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...