Solving for Stress on Front Axle: Angular Momentum to Force

In summary, the conversation discusses a problem with finding stress on a front axle of a car. The problem provides the angle at which the car is raised and the speed it's going, and states that the car comes to an immediate halt, dropping the front end. The task is to find the force the front end will withstand when it hits the ground. The person has used linear momentum and angular momentum to create an angular momentum around the rear axle, but is unsure how to account for gravity and convert angular momentum into force. They also mention the weight and deceleration of the vehicle as factors to consider. Additionally, they bring up torque, moment arm, and force, and suggest thinking about moment of inertia and the parallel axis theorem.
  • #1
codywookman
4
0
I have a problem with finding stress on this front axle. The problem gives the angle at which the car is raised (front wheels off the ground) and the speed its going. It states the car comes to an immediate halt, dropping the front end. It asks to find the force the front end will withstand when it hits the ground.

So far I have used the linear momentum of the masses (point loads along the frame of the car) to create an angular momentum around the rear axle.

How do I account for gravity? How is angular momentum converted into force? Any help or ideas would be great. Thanks,
 
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  • #2
codywookman said:
How do I account for gravity? How is angular momentum converted into force? Any help or ideas would be great. Thanks,
Gravity and mass give weight. And there is the deceleration of the vehicle to consider in addition to weight.

Torque is related to moment arm and force, with the force normal (perpendicular) to the moment arm.

Think also about moment of inertia - and parallel axis theorem.
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html
http://hyperphysics.phy-astr.gsu.edu/hbase/parax.html

Is this homework?
 

1. What is angular momentum and how does it relate to force?

Angular momentum is a measure of the rotational motion of an object and is calculated by multiplying the angular velocity (how fast the object is rotating) by the moment of inertia (how resistant the object is to changes in rotation). It relates to force through the equation L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity. In other words, the bigger the angular momentum, the more force is needed to change the rotation of an object.

2. How does angular momentum affect the stress on a front axle?

Angular momentum affects the stress on a front axle by determining the amount of force needed to change the rotation of the axle. If the angular momentum is high, then a greater force will be required to change the rotation, resulting in more stress on the axle.

3. How can angular momentum be used to solve for stress on a front axle?

To solve for stress on a front axle, the angular momentum must first be calculated using the equation L = Iω. Once the angular momentum is determined, it can be used in the equation σ = L/r, where σ is stress, L is angular momentum, and r is the distance from the axis of rotation (in this case, the center of the front axle). This will give the stress on the front axle due to the angular momentum.

4. Is angular momentum the only factor that affects stress on a front axle?

No, there are other factors that can also affect stress on a front axle, such as the weight and distribution of the load on the axle, the material and design of the axle, and the speed and direction of the vehicle. However, angular momentum is an important factor to consider when solving for stress on a front axle.

5. How can we reduce stress on a front axle?

To reduce stress on a front axle, we can try to decrease the angular momentum by reducing the rotational speed of the axle or by decreasing the moment of inertia through changes in the design or materials used. We can also distribute the weight more evenly across the axle and avoid overloading it. Regular maintenance and inspections can also help identify and address any potential issues before they become major problems.

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