Using a mass-damper model for this system draw the system

Reference no: EM13580320

An automobile weighing 3000 lb is put in motion on a level highway and then allowed to coast to rest. Its speed is measured at successive increments of time, as recorded in thefollowing table:

Time (s) Speed (f t/s, approx.)

0 15.2

10 10.1

20 6.6

30 4.5

40 2.9

50 2.1

60 1.25

a) Using a mass-damper model for this system, draw the system diagram and set up the differential equation for the velocity v1 of the vehicle.

(b) Evaluate m and then estimate b by using a graph of the data given in the preceding table. (Hint: Use the slope dv1 /dt and v1 itself at any time t.)

Reference no: EM13580320

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