A woman is driving her classic 1991 Jaguar Sovereign. The Jaguar\'s mass is m an

Question

A woman is driving her classic 1991 Jaguar Sovereign. The Jaguar's mass is m and its center of mass is a distance h above the road. The distances between the center of mass and the rear and front wheels are l_r and l_f respectively. To avoid a collision, the woman applies the brakes.

a) Determine the friction forces on the Jaguar's front and rear tires, f_r and f_f, respectively, in terms of l_f, l_r, h, m, kinetic friction coefficient mu, and gravitational acceleration, g. HINT: take moments about the Jaguar's center of mass.

b) Compute f_r and f_f for m = 1805kg, l_f = 1.20m, l_4 = 1.47m, h = 1m and mu = 0.8

Explanation / Answer

normal reaction on front tires be N1 and rear wheel be N2, N1 + N2 = mg, also,, mgLr = N1*( Lr + Lf ) + ma, mu*N1 + mu*N2 = ma, from here you can get all variables, frictional force on front wheels = mu*N1 and on rear mu*N2.

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