A 0.5 kg block is attached to a string (k = 12.5 N/m), the damped frequency is 0.2 % lower than the natural frequency. What is the critical damping constant? OA. 20 kg/s в. 25 kg/s Oc.3 kg/s O D.5 kg/s OE. 15 kg/s

A 0.5 kg block is attached to a string (k = 12.5 N/m), the damped frequency is 0.2 % lower than the natural frequency. What is the critical damping constant? OA. 20 kg/s в. 25 kg/s Oc.3 kg/s O D.5 kg/s OE. 15 kg/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The graph plots the position of an object in simple harmonic motion along the x-axis. x [cm] -3 -2 -1 0 1 2 3 O C D. A = 6 cm; f = 0.125 Hz OB 0 OD 2 O A t [s] What are the amplitude (A) and frequency (f) of these oscillations? A. A = 6 m; f = 8 Hz B. A = 3 cm; f = 4 Hz C. A = 3 cm; f = 0.125 Hz 4 6 8 10
A cart of mass m = 1.6 kg placed on a frictionless horizontal surface and connected to a spring with spring constant 6 N/m. The damping force strength is given by b = 255 g/s. The cart is pulled away 16.5 cm and released. k m 'b a. Calculate the time required for the amplitude of the resulting oscillations to fall to 1/7 of its initial value. 24.4 b. How many oscillations are made by the cart in this time? 7.51
A 37 kg block on a horizontal frictionless surface is attached to a spring. The block is exhibiting SHM. The total energy of the system is 420 J. A.) Determine how much PE it has when its KE is six-sevenths of the PE. PE= w B.) Determine the maximum speed of the block. Vmax=
2.3 A (mn) 10 8. 4. 2. 100 200 300 400 500 600 (s) The figure shows a graph of displacement x against time 1 for a damped harmonic oscillator. Deduce the quality factor Q of the oscillator.
A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.
Design a proportional controller (i.e. find K) for the shown system in order to have a damping ratio: zeta=0.4 U(s) 1 Y(s) K s?+ 2s + 4 Select one: O a. 2.25 O b. 1.0 О с. 2.0 O d. 8.25 e. 4.25
3
Answers : 0.1026 in and 5.16 in/sshow complete solution and answer
Good
FAlpQLScnUc4cxOG_MhUwxQ_tmgPXxNOqLHXESZsha9TgzSYkAgx1oQ/formResponse 1.25 rad/s 20 rad/s 2.5 rad/s The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 1 sec 0.25 sec 0.5 sec 3 sec 1.5 sec A musical note on a piano has a frequency of 31 Hz. If the tension in the 2-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire? 0.019 kg
A 5-kg block is suspended from a vertical spring whose module is 500 N/m. There is no damping nor external forces acting on the system and neglects the effect of air resistance. Given an initial velocity of 10 m/s; 2.a. How far should the initial displacement in meters from the neutral position be, such that the mass traverses over a total range of 4 m? 2.b. How long in seconds is the period of the vibration? 2.c. How far in meters is the object from equilibrium at 7-second mark? 2.d. How fast in meters/sec is the object at 7-second mark? 2.e. Is the object SLOWING DOWN or SPEEDING UP at 7-second mark? Explain why.
What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. Number 1.57 v (cm/s) -15 Units rad