2. What type of motion isbeing exhibited by the spring-mass system if B > 1.5?OverdampedCritically-dampedO UndampedUnder-damped3. What type of motion isbeing exhibited by the spring-mass system if B < 1.5?Under-dampedCritically-dampedUndampedOverdamped Consider the following system: A 3lbweight on a spring stretches it 6inches. Assuming a damping forcein pounds numerically equal to Bv,where v is the instantaneousvelocity in ft/sec, is present.

Answered: Image /qna-images/answer/9fd72eca-6ebd-4ea8-971d-1a08335dbb14.jpg

Answered: Consider the following system: A 3lb…

Consider the following system: A 3lb weight on a spring stretches it 6 inches. Assuming a damping force in pounds numerically equal to Bv, where v is the instantaneous velocity in ft/sec, is present.

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

A 4 ft spring measures 8 ft long after it is hung with a mass weighing 8 lb. The medium through which the mass moves provides damping force equal to √2 times the instantaneous speed. Find the motion equation if the mass is initially released from the equilibrium position with a descending velocity of 5 f t/s. Calculate the time the mass reaches its extreme displacement from the equilibrium position. What is the position of the dough in that instant
You have made a physical pendulum by swinging a rod of mass M = 1.08 kg and length L = 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 19.34 degrees. Solid Rod Swings in Simple Harmonic Motion ^ 0=-0, max 0=+0₁ max Determine all the following: The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, max = radians The angular velocity when 0 = 64% of full swing, w(0 = 0.64 0max): NOTE: The first question requires a FORMULA, not a value. rad/sec = meters rad/sec
A tuning fork is struck and oscillates in damped harmonic motion. The amplitude of the motion is measured, and 4 s later it is found that the amplitude has dropped to 1 3 of this value. Find the damping constant c for this tuning fork. (Round your answer to two decimal places.)
A simple pendulum with a length of 1.73 m and a mass of 6.74 kg is given an initial speed of 2.36 m/s at its equilibrium position. (a) Assuming it undergoes simple harmonic motion, determine its period (in s). (b) Determine its total energy (in J). (c) Determine its maximum angular displacement (in degrees). (For large v, and/or small /, the small angle approximation may not be good enough here.) (d) What If? Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for its motion to be described as simple harmonic motion using the small angle approximation where 0 ≤ 10°?
A 2.8kg box is attached to a spring with a spring constant of 11.5N/m. The box is on a frictionless horizontal surface. It is pulled to the right of equilibrium and let go. What is the period (in s) of the oscillation?
A vertical hanging mass attached to a spring is connected to a piston inside a fluid. The block has a mass of 1.5 kg and the spring constant is 8.00 N/m. The piston acts as a damping force given by –b(dx/dt), where b = 230 g/s. Suppose that the block is initially pulled down a distance of 12.0 cm and released. Calculate the time required for the amplitude of the resulting oscillation to fall to 1/3 of its initial value. How many oscillations are made by the block in this time?
Consider the following unforced, underdamped, spring system. The spring has a damping constant of 2. After a 1 kg mass is attached to the spring, it stretches 0.9800m. From this equalibrium position, you pull the spring downward 1.00 m from equalibrium. Then you release the spring with an additional upward velocity of 21 m/s. Calculate the maximum displacement from equalibrium over the subsequent oscillations. Round your answer to two places, i.e. 3.25. Y Equilibrium mg = kr
Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 0.5sin(0.21t) where time is measured in seconds and distance is measured in inches. Find the time (in seconds) required for the object to complete one oscillation. (Provide 4 decimal places.)
The torsional spring of constant kt = 58 N-m/rad is undeformed when 0 = 0. Determine the value(s) of 0 over the range 0 ≤ 0 ≤ 180° for which equilibrium exists. Use the values mA = 12 kg, mB = 1 kg, moA = 7 kg, and r = 0.9 m. Assume that OA is a uniform slender rod with a particle A (negligible size) at its end, and neglect the effects of the small ideal rollers. You should find two answers, 0₁ <0₂. mB B Answers: KTI i o( 0₁ = 0₂= i 151.5 34.5 A MOA MA
A 500 g mass is hung from a vertical spring and allowed to come to rest or its equilibrium position. As a result, the spring is stretched by 10 cm. The mass is then pulled down an additional 15 cm and released so that it oscillates in a SHM. Find the amplitude and frequency of the SHM and write down the equation of the position as a function of time.
An 9-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 4 N-sec/m. At time t= 0, an external force of 8 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution. The amplitude is (Type an integer or a decimal. Round to four decimal places as needed.)