A spring is such that a force of 20 [N] would stretch it 0.2[m]. The spring hangs vertically and a 4 [kg] mass is attached to the end of it. After this mass comes to rest in its equilibrium position, it is pulled down [0.4 [m] below this position and then released at t = 0. The medium offers a resistance 2dx/dt, where dx/dt is the instantaneous velocity in [m/s] (a) Determine the displacement of the weight as a function of the time and express this displacement in the amplitude-phase form (b) Find the so-called "period" and determine the logarithmic decrements. (c) At what time does the weight first pass through its equilibrium position?
A spring is such that a force of 20 [N] would stretch it 0.2[m]. The spring hangs vertically and a 4 [kg] mass is attached to the end of it. After this mass comes to rest in its equilibrium position, it is pulled down [0.4 [m] below this position and then released at t = 0. The medium offers a resistance 2dx/dt, where dx/dt is the instantaneous velocity in [m/s] (a) Determine the displacement of the weight as a function of the time and express this displacement in the amplitude-phase form (b) Find the so-called "period" and determine the logarithmic decrements. (c) At what time does the weight first pass through its equilibrium position?
Related questions
Question
A spring is such that a force of 20 [N] would stretch it 0.2[m]. The spring hangs vertically and a 4 [kg] mass is attached to the end of it. After this mass comes to rest in its equilibrium position, it is pulled down [0.4 [m] below this position and then released at t = 0. The medium offers a resistance 2dx/dt, where dx/dt is the instantaneous velocity in [m/s]
(a) Determine the displacement of the weight as a function of the time and express this displacement in the amplitude-phase form
(b) Find the so-called "period" and determine the logarithmic decrements.
(c) At what time does the weight first pass through its equilibrium position?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 8 images
