Question

A spring-mass-dashpot system consists of a 1-kg mass attached to spring with spring constant 20 N/m. The dashpot has a damping constant of 8 Ns/m. If the mass is initially at position 0.5 m to the right of equilibrium and has an initial velocity of 1 m/s toward the right, determine: (a) when the mass will first return to the equilibrium position. (b) the maximum displacement of the mass for t > 0.

Name: a spring mass dashpot system consists of a 1 kg mass attached to spring with spring constant 20 nm the dashpot has a damping constant of 8 nsm if the mass is initially at position 05 m to th 46938
Uploaded: 2022-05-31T09:48:03-08:00
Duration: 4 min
Channel: Adi S
Description: a spring mass dashpot system consists of a 1 kg mass attached to spring with spring constant 20 nm the dashpot has a damping constant of 8 nsm if the mass is initially at position 05 m to th 46938

          A spring-mass-dashpot system consists of a 1-kg mass attached to spring with spring constant 20 N/m. The dashpot has a damping constant of 8 Ns/m. If the mass is initially at position 0.5 m to the right of equilibrium and has an initial velocity of 1 m/s toward the right, determine:
(a) when the mass will first return to the equilibrium position. 
(b) the maximum displacement of the mass for t > 0.

Added by Nicole D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

05/31/2022

Step 1

Substituting these values, we get \(\ddot{X} + 8\dot{X} + 20X = 0\). Show more…

Show all steps

Thanks for your feedback!

A spring-mass-dashpot system consists of a 1-kg mass attached to spring with spring constant 20 N/m. The dashpot has a damping constant of 8 Ns/m. If the mass is initially at position 0.5 m to the right of equilibrium and has an initial velocity of 1 m/s toward the right, determine: (a) when the mass will first return to the equilibrium position. (b) the maximum displacement of the mass for t > 0.