Calculating Max Load for a Scissor Jack on 6000lb Car

[vpatel28]

Homework Statement

I have to determine the max load a scissor jack must support when lifting a 6000lb car. I know where the center of gravity is acting and the potential locations (distances from the center of gravity) the car will be jacked up. I know the max force is less than 6000 lb.

The attached document shows the geometry of the car.

Homework Equations

The Attempt at a Solution

I tried taking the moments about one of the tires and setting them equal to zero to solve for the max force at each location, but I know I'm doing something wrong.

 

[LightHero]

For example, at the front of the car (A) I have:F(a) * w/2 + F(b) * h/2 = 0where F(a) is the force at point A, w is the width of the car and h is the height of the car. I'm not sure what to do next. Please help!

 

[Mene]

I would approach this problem by first identifying all the relevant variables and parameters involved. These may include the weight of the car (6000 lbs), the location of the center of gravity, the dimensions and weight of the scissor jack, and the potential locations of the jack along the car.

Next, I would research the specific design and specifications of the scissor jack being used. This would include its maximum load capacity and any safety factors that need to be taken into account.

Using this information, I would then apply the appropriate equations and principles of mechanics, such as the laws of motion and equilibrium, to determine the maximum load that the scissor jack can support. This may involve calculating the forces acting on the jack and the car at different locations, and ensuring that the sum of these forces is equal to zero for the system to be in equilibrium.

It is important to note that the calculation of the maximum load for a scissor jack on a 6000lb car may also depend on other factors such as the condition of the car and the stability of the ground on which the jack is placed. Therefore, it is crucial to consider all possible variables and assumptions in order to accurately determine the maximum load for this specific scenario.