Calculating support forces on each tire

In summary, the problem involves two non-uniform crates and a truck with a total mass of 1850kg. The goal is to determine the support forces at each of the four wheels of the truck. The solution involves finding the center of gravity and calculating torque to determine the support forces. It is important to note that the dimensions are only around the horizontal axis and not the vertical axis.
  • #1
boardaddict
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Homework Statement



Two uniform crates of 350kg are placed in the bed of a stationary 1500kg truck. Determine the support forces at each of the wheels

The dimensions are only around the horizontal axis

Homework Equations


Fx = n1 + n2 -M1g -m2g-m3g

T= Dmg


The Attempt at a Solution



Thats about where I am at, I am just looking for a hint,
 
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  • #2
Add mass of crates and truck -> find gravitational force -> divide by 4 (force is split over 4 tires)
 
  • #3
tramar said:
Add mass of crates and truck -> find gravitational force -> divide by 4 (force is split over 4 tires)
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If it was uniform that would be right but its not uniform. This is what I came up with:

Find center of gravity, Calculate torque, using that the sum of all forces has to equal total mass it should cancel out, any thoughts?
 

FAQ: Calculating support forces on each tire

How do I calculate the support forces on each tire of a vehicle?

The support forces on each tire can be calculated by dividing the weight of the vehicle by the number of tires. For example, if a vehicle weighs 4000 pounds and has 4 tires, each tire will have a support force of 1000 pounds. This calculation assumes that the weight of the vehicle is evenly distributed among all tires.

What factors affect the support forces on each tire?

The support forces on each tire can be affected by the weight of the vehicle, the distribution of weight among the tires, the tire pressure, and the type of road surface. Additionally, any external forces such as acceleration, braking, or turning can also impact the support forces on each tire.

How does tire pressure impact the support forces on each tire?

Tire pressure plays a significant role in determining the support forces on each tire. Higher tire pressure will result in a larger support force, while lower tire pressure will result in a smaller support force. It is important to maintain proper tire pressure to ensure balanced support forces on each tire and to prevent tire wear or damage.

Can the support forces on each tire be different?

In most cases, the support forces on each tire will be equal, assuming the vehicle is level and the weight is evenly distributed. However, certain factors such as uneven weight distribution or uneven tire pressure can result in different support forces on each tire. It is important to regularly check and adjust tire pressure to ensure equal support forces on each tire.

How do I adjust the support forces on each tire?

If the support forces on each tire are not equal, it may be necessary to adjust the weight distribution or tire pressure of the vehicle. This can be done by redistributing the weight of the vehicle or adding/removing air from the tires. It is recommended to consult a professional or refer to the vehicle's manual for specific instructions on adjusting support forces on each tire.

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