Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.6 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. x(t) = ft (b) Express the equation of motion in the form x(t) = Ae¯¹t sin(√√w² - 2²t + ¢), which is given in (23) of Section 3.8. (Round to two decimal places.) x(t) = ft (c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)

A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.6 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. x(t) = ft (b) Express the equation of motion in the form x(t) = Ae¯¹t sin(√√w² - 2²t + ¢), which is given in (23) of Section 3.8. (Round to two decimal places.) x(t) = ft (c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)

icon
Related questions
Question
A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.6 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. x(t) = (b) Express the equation of motion in the form x(t) } = Ae-¹t sin(√√w² - 2²t + $) which is given in (23) of Section 3.8. (Round to two decimal places.) x(t) = ft ft S (c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)
Transcribed Image Text:A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.6 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position. x(t) = (b) Express the equation of motion in the form x(t) } = Ae-¹t sin(√√w² - 2²t + $) which is given in (23) of Section 3.8. (Round to two decimal places.) x(t) = ft ft S (c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 17 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer