Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

4. An object of mass 0.2 kg is hung from a spring whose spring constant is 80 N/m. The object is subject to a

image

4. An object of mass 0.2 kg is hung from a spring whose spring constant is 80 N/m. The object is subject to a resistive force given by -by, where v is its velocity in meters per second. a. Set up the differential equation of motion for free oscillations of the system. b. If the damped frequency is 0.995 of the undamped frequency (when b = 0), what is the value of the constant b? c. What is the Q of the system, and by what factor is the amplitude of the oscillation reduced after 10 complete cycles?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

a To set up the differential equation of motion for free oscillations of the system we can start with Newtons second law which states that the sum of ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Physics

Authors: Alan Giambattista, Betty Richardson, Robert Richardson

2nd edition

77339681, 978-0077339685

More Books

Students also viewed these Physics questions