ZuoTi.Pro
Question

You have a mass-spring-dashpot system where m = 2kg, a spring with k = 12 N/m....

You have a mass-spring-dashpot system where m = 2kg, a spring with k = 12 N/m. And the dashpot with c= 10kg/s. Draw the system as a free body diagram, sum the forces to get a differential equation, then solve the differential equation given that the mass is pulled 1 meter out of equilibrium and given no initial velocity. so x(0) = 1 and x'(0) = 0

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
You have a mass-spring-dashpot system where m = 2kg, a spring with k = 12 N/m....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...

    A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...

  • A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...

    A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...

  • Please show work 3. Given a mass-spring-damper system, the 2kg mass is connected to two linear...

    Please show work 3. Given a mass-spring-damper system, the 2kg mass is connected to two linear springs with stiffness coefficients ki- 100 N/m and ki 150 N/m and a viscous damper with b 50 Ns/m. A constant force of SN is applied as shown. The effect of friction is negligible. ki m b 3.1 [2pts] Determine the equivalent stiffness of the springs. 3.2 [3pts] Draw the free-body diagram of the system. Define the generalized coordinate and label your forces and...

  • ???? Suppose that the mass in a mass-spring-dashpot system with m = = kg, c= 1...

    ???? Suppose that the mass in a mass-spring-dashpot system with m = = kg, c= 1 N, and k = 50 N/m. The mass is set into motion with initial position (0) 1 and initial velocity x' = -5. Find the position of the mass, x(t) and graph the position function.

  • Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant...

    Consider a mass-spring-dashpot system in which the mass is m = 4 lb-sec^2/ft, the damping constant is c =24 lb-sec/ft, and the spring constant is k=52lb/ft. The motion is free damped motion and the mass is set in motion with initial position x0=5ft and the initial velocity v0= -7ft/sec. Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped.

  • 5. A 2 kg mass is attached to a spring whose constant is 30 N/m, and the entire system is submerg...

    5. A 2 kg mass is attached to a spring whose constant is 30 N/m, and the entire system is submerged in a liquid that imparts a damping force equal to 12 times the instaataneous velocity (a) Write the second-order linear differential equation to umodel the motion (b) Convert the second-order linear differential equation from part (a) to a first-order linear system (c) Classify the critical (equilibrium) point (0.0) (d) Sketch the phase portrait (e) Indicate the initial condition x(0)-(...

  • 418. The e spring k and the dashpot c of the accompanying diagram are fastened together at A; x r...

    418. The e spring k and the dashpot c of the accompanying diagram are fastened together at A; x represents the absolute displacement of m, and y is the abso- lute displacement of the point A. The motion o (a) Construct the free-body diagram for m. (b) Write the differential equation of motion for m (c) Obtain the solution for the steady-state motion of m. (d) Determine the relation for the impressed force at A. A is defined by y-...

  • A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for...

    A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 7 N-sec/m. If the mass is pulled^ m to the left of equilibrium and given an initial rightward velocity of 4 m/sec a) Find and solve the equation of motion governing the system b) State the type of motion for the system? c) When will the mass first return to its equilibrium position?

  • (a) Find the period of oscillation for a spring-mass system where the spring constant (k) is...

    (a) Find the period of oscillation for a spring-mass system where the spring constant (k) is 24 N/m and the mass (m) is 6 kg. (b) Write an equation for x(t) if the spring is stretched to an amplitude of 10 cm from its equilibrium position x = 0 at t = 0. (c) Write an equation for the following initial conditions: at t = 0, the mass is at x = 0 and has a velocity of +3 cm/s.

  • (1) Suppose that the mass in a mass-spring-dashpot system with m = 10, the damping constant...

    (1) Suppose that the mass in a mass-spring-dashpot system with m = 10, the damping constant c = 9 and the spring constant k = 2 is set in motion with x(0) = −1/2 and x′(0) = −1/4. (a)[5 pts] Find the position function x(t). (b)[5 pts] Determine whether the mass passes through its equilibrium position. Sketch the graph of x(t).

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT