Answer this--->In example #6, what height for the truck’s cm have would cause th

Question

Answer this--->In example #6, what height for the truck’s cm have would cause the rear tires to lose contact with the ground and provide no braking force at all (meaning the truck might flip over)?

Example 6

A vehicle has mass 2000 kg and a wheelbase (distance between wheels) of 2.5 meters. Its center of mass sits at a height 0.5 meters off the ground and is half way between the wheels. The vehicle is moving over flat ground. The driver slams on the brakes. The coefficient of static friction between the tires and road is 0.9 (the vehicle has anti-lock brakes to make sure the friction is always static -- the tires never skid). Find the stopping force on the front and back tires of the vehicle. Compare the two and comment on which tires do the most to stop the car. A “lift kit” is then added to the vehicle, raising the c.m. height to 0.7 meters. Again compare stopping forces.

Explanation / Answer

The force under each front wheel is

Fz1 = 1/2*mg* a2 /l = 1 /2* 2000 × 9.81 × 1.25/2.5 = 4905 N

if friction is 0.9

then Fz1 = 0.9*4905 =4414.5 N..........Ans.

and the force under each rear wheel is

Fz2 = 1/2 *mg* a1/ l =

1 /2* 2000 × 9.81 × 1.25/2.5 = 4905 N

if friction is 0.9

then Fz1 = 0.9*4905 =4414.5 N..........Ans.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.