part A and B 1. For a single degree of freedom spring-mass-damper system with m = 1 kg,k = 4x104 N/m, and e = 10 N-s/m, complete the following for the case of freevibration.(a) Calculate the natural frequency (in rad/s), damping ratio, and dampednatural frequency (in rad/s).(b) Given an initial displacement of 5 mm and zero initial velocity, write theexpression for the underdamped, free vibration in the formx(t) = e-Cnt (A cos(@at) +B sin(@at)) mm.(c) Plot the first ten cycles of motion.(d) Calculate the viscous damping value, c (in N-s/m), to give the criticallydamped case for this system.

The natural frequency is given by The damping ratio is The damped natural frequency is

Answered: (a) Calculate the natural frequency (in…

Similar questions

Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.
And part b.) Determine the direction of vector V measured counterclockwise from the positive x-axis.
An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles, the pilot turns 90° and heads toward the northwest. After the plane goes 4 miles in this direction, what bearing has the plane from the terminal?
R3 please answer all problems and also write out all steps and reasoning.
Let E = 21 +3j and F = 11 - 3j. ▼ Part A Find the magnitude of E. ► View Available Hint(s) E = Submit Part B 17| ΑΣΦ Find the magnitude of F. ► View Available Hint(s) F = IVE ΑΣΦ Submit ? ?
Someone drives 215 km west before turning to go 98 km southwest at 45°. How far are they from where they started? Express your answer using three significant figures. 293 km Submit Previous Answers ✓ Correct Part B In what direction are they from where the started, measured counterclockwise from due east?
For part 1, assume m₁ =100 g, m2=90 g, m3 = 100 g, 01-27°, and 02=26°, what does T1x+T2x+T3x equal to? Enter your answer up to 1/1000 N accuracy. Pay attention to the sign of your answer. Your Answer: Answer units Question 9 (2 points) = For part 1, assume m₁ =100 g, m2=90 g, m3 100 g, 01-26°, and 02-27°, what does T1y+T2y+T3y equal to? Enter your answer up to 1/1000 N accuracy. Pay attention to the sign of your answer. Your Answer:
An airplane flies 59 km at 30.0° east of north before turning to go 58 km due south and then finally, it flies 100 km at 30.0° north of west. How far is the plane from its starting point?

(a) Calculate the natural frequency (in rad/s), damping ratio, and damped natural frequency (in rad/s). (b) Given an initial displacement of 5 mm and zero initial velocity, write the expression for the underdamped, free vibration in the form x(t) = e-C@"(A cos(@at) + B sin(»at)) mm. %3D