How can you calculate the spring constant, K, of a mass-spring system given the amplitude is 13.5, the mass is 100 g, and the period is 8.1725?
How can you calculate the spring constant, K, of a mass-spring system given the amplitude is...
can you help me with this prblem?? Thanks 5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleratjon of the mass. c) Sketch a plot of the position of the mass vs time by labelling the...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleration of the mass. c) Sketch a plot of the position of the mass vs time by labelling the values for amplitude and period.
Write the general equation for finding the spring constant (k) when you have the Amplitude (A), period (B), phase (C), vertical shift (D), mass attached to spring.
(a) Find the period of oscillation for a spring-mass system where the spring constant (k) is 24 N/m and the mass (m) is 6 kg. (b) Write an equation for x(t) if the spring is stretched to an amplitude of 10 cm from its equilibrium position x = 0 at t = 0. (c) Write an equation for the following initial conditions: at t = 0, the mass is at x = 0 and has a velocity of +3 cm/s.
A mass-spring system oscillates with an amplitude of 3.60 cm. If the spring constant is 276 N/m and the mass is 499 g, determine the mechanical energy of the system. Tries 0/20 Determine the maximum speed of the object. Tries 0/20 Determine the maximum acceleration. Tries 0/20
A device is being designed that can be modeled as a mass-spring system. The mass-spring constant is k - 10 g/sec2 and the damping coefficient is μ 20 g/sec. a. Now the mass is pulled down 5 cm from rest and given an upward velocity of 10 cm/sec. Determine the IVP describing the motion of the mass b. Solve the resulting DE from part a Sketch the graph of the motion. d. Find the maximum displacement of the mass once...
An object of mass m attached to a spring with constant k oscillates with amplitude A. Assuming air resistance and the mass of the spring to be negligible, which of the following changes alone would cause the period of this oscillation to increase? I. Increasing m II. Increasing A III. Using a spring with greater k (A) I only Submit B ) Il only © 1or u only Il or Ill only E ) I, II or III 1. Norm
Differential Equations The mass m and Hooke’s constant k for a mass-and-spring system are given below. Determine whether or not pure resonance will occur under the influence of the given external periodic force ?(?). ? = 5, ? = 320; ?(?) is the odd function of period 2? with ?(?) = 3 for 0 < ? < pi