Friday

January 30, 2015

January 30, 2015

Posted by **Billie** on Thursday, December 2, 2010 at 1:22pm.

What is is the greatest speed at which the SUV can negotiate the turn without rolling over?

- physics -
**drwls**, Thursday, December 2, 2010 at 2:37pmConsider the case where there is no force on the two wheels closest to the cetnter of the turn. Compute the speed at which that can happen by taking moments about the outer pair of wheels. Let the distance between right and left wheels be L = 1.8 m. The gravity torque M g L/2 must equal the centripetal torque

M V^2*h/R, where h = 1m is the height of the CM. M cancels out.

g L/2 = V^2 h/R

V = sqrt [R g L/(2h)

A wide wheelbase (L) and a low center of mass (h) helps prevent high speed flipping.

At higher values of V, dynamic equilbrium cannot be maintainewd.

**Answer this Question**

**Related Questions**

physics - An SUV has a height h and a wheelbase of length b. Its center of mass ...

Physics - A car is rounding an unbanked circular turn with a speed of v = 35 m/s...

Physics - A turn of radius 20m is banked for the vehicles going at a speed of ...

Physics - A car moves with a speed v on a horizontal circular highway turn of ...

physics - A jet (m = 4.00 105 kg), flying at 139 m/s, banks to make a ...

physics - an 80 kg man rides in a car which makes a turn. he moves along a curve...

physics - an 80 kg man rides in a car which makes a turn. he moves along a curve...

PHYSICS - A jet flying at 135 m/s banks to make a horizontal circular turn. The ...

physics - A jet flying at 138 m/s banks to make a horizontal circular turn. The ...

physics - A jet flying at 138 m/s banks to make a horizontal circular turn. The ...