Let’s look at a simplified model of a car that’s dropped onto the ground. Model the suspension as a single linear spring and the rest of the vehicle as a single lumped mass. The car is dropped from a height of h1 = 0.9m. What is the maximum mass m for which the suspension does not bottom out? Assume a maximal allowable suspension travel of 10 cm and a spring constant of k = 2.4x10^6 N/m.
Let’s look at a simplified model of a car that’s dropped onto the ground. Model the suspension as a single linear spring and the rest of the vehicle as a single lumped mass. The car is dropped from a height of h1 = 0.9m. What is the maximum mass m for which the suspension does not bottom out? Assume a maximal allowable suspension travel of 10 cm and a spring constant of k = 2.4x10^6 N/m.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Let’s look at a simplified model of a car that’s dropped onto the ground.
Model the suspension as a single linear spring and the rest of the vehicle as a single lumped mass. The car is dropped from a height of h1 = 0.9m.
What is the maximum mass m for which the suspension does not bottom out? Assume a maximal allowable suspension travel of 10 cm and a spring constant of k = 2.4x10^6 N/m.

Transcribed Image Text:### Physics of Spring-Mass Systems
This image illustrates two separate systems for analyzing gravitational effects and spring mechanics.
**Left Diagram: Car on a Surface**
- A car is shown resting on a flat surface.
- The gravitational force (`g`) is acting downward on the car.
**Right Diagram: Mass-Spring System**
- This diagram features a mass (`m`) attached to a vertical spring.
- The gravitational force (`g`) also acts downward on this mass-spring system.
- **Spring Mechanics**:
- The spring is initially at rest with a length `h1` from the ground when no force is applied.
- Under the weight of the mass `m`, the spring compresses to a length `h2`.
**Common Variables**:
- `g`: Acceleration due to gravity, acting downward in both diagrams.
- `m`: Mass attached to the spring, subject to gravitational force.
This setup is often used to examine concepts like equilibrium, oscillation, Hooke's Law, and energy transfer in physics.
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