The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of spring constant k. Answer the following questions.
1. Which of the following graphs is the correct velocity-time graph of the oscillation?
2. Which of the following graphs is the correct acceleration-time graph of the oscillation
3. If the mass of the object is m = 0.500 kg, what is the spring constant k of the ideal spring?
Hint: read o the period of the oscillation T from the graph and use the relations
4. What is the total mechanical energy of the mass-spring system?
The figure shows the position-time graph of an object of mass m oscillating on the end...
The figure shows the position-time graph of an object of mass m oscillating on the end of a massless ideal spring of spring constant k. Answer the following questions.1. Which of the following graphs is the correct velocity-time graph of the oscillation?2. Which of the following graphs is the correct acceleration-time graph of the oscillation?3. If the mass of the object is m = 0.500 kg, what is the spring constant k of the ideal spring?Hint: read o the period of...
In-Class Assignment 2. The figure shows a position-versus-time graph for an oscillating mass m = 0.5 kg. x (cm) 20 10 0 -10 -20 I(s) 4 a. Determine the period of the motion. b. Determnine the angular frecquemcy of the motion c. Determine the amplitude of the motion. d. Determine the phase constant of the motion. e. Determine the maximum speed of the mass. f. Determine the maximum acceleration of the mass. g. Determine the total energy of the system....
A 0.43 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. On a coordinate plane with a horizontal axis labeled t(s) and a vertical axis labeled x(m) there is one item, a curve that...
A mass is vibrating at the end of a spring with a spring constant 1.14 N/m. The figure shows a graph of its position x (in centimetres) as a function of time t (in seconds). A) At what time between t=0 s and the first maximum after t=0 s is the mass not moving? B) What is the magnitude of the acceleration of the object at the second maximum in the x-t curve after t = 0 s? C) What...
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=...
If a 10g mass is oscillating in simple harmonic motion with a spring constant of 2N/m, find the time for one full oscillation (period).
3. Make a plot of a vs. sin6 fon linear graph and draw a best fit line through the data. Extend the best fit line so that it intersects the point at sin@ = 1 . #1 Incline Angle 0-2° (m/s) 0.22 Time Interval (s) Displaceent (m) Average Velocity Average Acceleration 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 m/s/s 0.021 0.022 0.023 0.024 0.025 0.027 0.029 0.030 0.032 0.033 0.1 0.24 0.25 0.27 0.29 0.30 0.32 0.33...
A 0.81-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, x (m) 0.10 --- 04 16.0 -0.10 - - - - - - Determine the following. (a) amplitude A of the motion (b) angular...
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...
5) A damped simple harmonic oscillator consists of a.40 kg mass oscillating vertically on a spring with k- 15 N/m with a damping coefficient of .20 kg/s. The spring is initially stretched 17 cm downwards and the mass is released from rest. a) What is the angular frequency of the mass? b) What is the position of the mass at t-3 seconds? c) Sketch a position vs time graph for the mass, showing at least 5 full cycles of oscillation....