Question: Consider the impulse response x ( t ) for the mechanical system shown below. Find the logarithmic decrement of the system and the damping ratio

Consider the impulse response x(t) for the mechanical system shown below.
Find the logarithmic decrement of the system and the damping ratio .
Determine the natural frequency n of the system in order to obtain the transfer function of the system:
x(s)P(s)=1s2+2ns+n2
If the mass M=1kg, find the damping b and stiffness k of the system.
Consider the impulse response x ( t ) for the

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Q:

Problem 4 (40 points) Consider the system shown in Figure 3 (a). The damping ratio of this system is 0.158 and the undamped natural frequency is 3.16 rad/sec. To improve the relative stability, we...

Q:

Consider the closed loop control system with P-controller as shown. The plant transfer function is expressed as G(s) = (a) Find the type number of the system and compute steady-state error for unit...

Q:

System analysis using Matlab A vehicle suspension system can be modelled by the block diagram shown in Figure 1 below: Body mass m2 Spring of stiffness ks Damper of coefficient cs X Wheel mass, m1...

Q:

Consider the impulse response x(t) for the mechanical system shown below. x(t) Amplitude 0.2 0.15 0.1 0.05 0 -0.05 -0.1 -0.15 0 2 4 Impulse Response A 6 Time (sec) 8 10 = X(s) 1 P(s) s + 23wns +...

Q:

The steering input controls the lateral motion of the vehicle (see Figure 1). The automated vehicle steering control system uses information about the vehicle position relative to the center of the...

Q:

k b 772 "1 m www k Figure 1 Figure 2 2. (30 points) The mechanical system shown in Figure 2 has m = 20 kg, b = 180 N-s/m, and k = 1620 N/m. (a) Find the transfer function *(s) and determine the...

Q:

Please do this in MATLAB only, some code are provided but I am not sure if this is related. Sample codes (for part (a)): %% Script file project1.m %% Definition of system parameters: global m c k...

Q:

Computer Science Question 1 : Heat Exchanger Design Part A: Calculate the heat transfer rate required for a heat exchanger to cool 1 5 0 0 kg / hr of water from 8 5 C to 3 0 C . Assume the specific...

Q:

computer Science Question 1 : Heat Exchanger Design Part A: Calculate the heat transfer rate required for a heat exchanger to cool 1 5 0 0 kg / hr of water from 8 5 \ deg C to 3 0 \ deg C . Assume...

Q:

Computer Science Question 1 : Heat Exchanger Design Part A: Calculate the heat transfer rate required for a heat exchanger to cool 1 5 0 0 kg / hr of water from 8 5 C to 3 0 C . Assume the specific...

Q:

Kross Company purchased a machine at a price of $100,000 by signing a note payable, which requires a single payment of $118,810 in 2 years. Assuming annual compounding of interest, what rate of...

Q:

For each of the following statements, indicate whether it is true or false. If false, explain why it is false. a. The multiple correlation is always the same as the ordinary correlation computed...

Q:

Barney and roll and his employers HDP and established an HSA to which he contributed $ 1 0 0 per month after four years. The account holds $ 4 0 0 0 . Barney leaves the employer for another job and...

Q:

what am I missing in this question Complete the below table to calculate the estimated balance of Allowance for Doubtful Accounts using aging of accounts receivable. b. Prepare the adjusting entry...