5: Applications of Linear Second Order Equations
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In this Chapter, we study applications of linear second order equations.
- 5.1: Spring Problems (Undamped Motion)
- Throughout the this section we’ll consider spring–mass systems without damping. We’ll consider systems with damping in the next section. We first consider the case where the motion is also free.
- 5.2: Spring Problems (Damped Motion)
- In this section we consider the motion of an object in a spring–mass system with damping.
- 5.3: The RLC Circuit
- In this section we consider the RLC circuit, which is an electrical analog of a spring-mass system with damping.
- 5.4: Motion Under a Central Force
- This section is about motion of an object under a central force, which is particularly relevant in the space age, since, for example, a satellite moving in orbit subject only to Earth's gravity is experiencing motion under a central force.
Thumbnail: A series RLC network: a resistor, an inductor, and a capacitor. (CC BY-SA 3.0; Spinningspark at Wikipedia)