A vehicle moving horizontally gets a load of wind resistance acting in the opposite direction to the vehicle's motion M cv TTTTTI77 v is the horizontal speed of the vehicle. F is the thrust that comes from the vehicle engine c damping coefficient for wind resistance force (c =0.20 N.sec2/m2) M is the mass of the vehicle (M = 1000 kg) Using Newton's 2nd law, we get the equation of motion dv 1000 + 0,2 v² = F dt At steady state the speed of the car is vo = 30 m/s and thrust F, = 0.2 v3 = 180 N. If the car is moving at a speed around steady state v = vo + dv = 180 and F = Fo + 8F, derive a linear differential equation connecting d(&v) ,8v and 8F dt

A vehicle moving horizontally gets a load of wind resistance acting in the opposite direction to the vehicle's motion M cv TTTTTI77 v is the horizontal speed of the vehicle. F is the thrust that comes from the vehicle engine c damping coefficient for wind resistance force (c =0.20 N.sec2/m2) M is the mass of the vehicle (M = 1000 kg) Using Newton's 2nd law, we get the equation of motion dv 1000 + 0,2 v² = F dt At steady state the speed of the car is vo = 30 m/s and thrust F, = 0.2 v3 = 180 N. If the car is moving at a speed around steady state v = vo + dv = 180 and F = Fo + 8F, derive a linear differential equation connecting d(&v) ,8v and 8F dt

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...

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