A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg·m/s, and the mass is 0.050 kg. If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the particle’s position at t = 5.0 s?
-1.5 m
-0.73 m
0 m
0.73 m
1.5 m
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is...
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg∙m/s, and the mass is 0.050 kg. If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?
(1 point) This problem is an example of critically damped harmonic motion. A mass m = 6 kg is attached to both a spring with spring constant k = 150 N/m and a dash-pot with damping constant c = 60 N· s/m . The ball is started in motion with initial position Xo = 8 m and initial velocity vo = -42 m/s. Determine the position function x(t) in meters. x(t) = Graph the function x(t). Now assume the mass...
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.
Please Show steps (1 point) This problem is an example of over-damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 36 N/m and a dash-pot with damping constant c= 24 N · s/m. The ball is started in motion with initial position xo = -4 m and initial velocity vo = 2 m/s. Determine the position function x(t) in meters. X(t) = Graph the function x(t).
This problem is an example of over-damped harmonic motion. A mass ?=4kgm=4kg is attached to both a spring with spring constant ?=84N/mk=84N/m and a dash-pot with damping constant ?=40N⋅s/mc=40N⋅s/m . The ball is started in motion with initial position ?0=−5mx0=−5m and initial velocity ?0=3m/sv0=3m/s. Determine the position function ?(?)x(t) in meters. ?(?) = ?
Solve it with matlab 25.16 The motion of a damped spring-mass system (Fig. P25.16) is described by the following ordinary differential equation: d’x dx ++ kx = 0 m dr dt where x = displacement from equilibrium position (m), t = time (s), m 20-kg mass, and c = the damping coefficient (N · s/m). The damping coefficient c takes on three values of 5 (under- damped), 40 (critically damped), and 200 (overdamped). The spring constant k = 20 N/m....
A particle attached to a spring with k = 54 N/m is undergoing simple harmonic motion, and its position is described by the equation x = (5.5 m)cos(7.1t), with t measured in seconds (a) What is the mass of the particle? kg (b) What is the perlod of the motion? (c) What is the maximum speed of the particle? m/s (d) What Is the maximum potentlal energy? (e) What is the total energy?
I want matlab code. 585 i1 FIGURE P22.15 22.15 The motion of a damped spring-mass system (Fig. P22.15) is described by the following ordinary differ- ential equation: dx dx in dt2 dt where x displacement from equilibrium position (m), t time (s), m 20-kg mass, and c the damping coefficient (N s/m). The damping coefficient c takes on three values of 5 (underdamped), 40 (critically damped), and 200 (over- damped). The spring constant k-20 N/m. The initial ve- locity is...
Can you please answer both questions, Y=0 Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
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...