Table of Contents

## Why do we need to use reduced mass?

The reduced mass is typically used as a relationship between two system elements in parallel, such as resistors; whether these be in the electrical, thermal, hydraulic, or mechanical domains. A similar expression appears in the transversal vibrations of beams for the elastic moduli.

**What do you understand by the reduce mass How is the two-body problem reduce to a single body problem?**

For two given bodies, one with mass and the other with mass , the reduced mass is expressed as: The force on the reduced mass is given by the force between the two bodies. After solving this equivalent one-body problem, the two-body problem can be solved for the motion of the two initial bodies or point particles.

### What is the reduced mass Why is it always less than the mass of either particle?

It is less than the mass of a single particle, because the interparticle distance accelerates more than if the force acted on one particle alone. This is for the physical meaning in classical mechanics.

**What do you mean by reduced mass of a two particle system?**

Definition: When two bodies in relative motion are acted upon by a central force involving Newton’s law then the system can be replaced by a single mass called the reduced mass.

#### What is reduced mass of a two body system?

The equations of motion of two mutually interacting bodies can be reduced to a single equation describing the motion of one body in a reference frame centred in the other body. The moving body then behaves as if its mass were the product of the two masses divided by their sum. That quantity is called the reduced mass.

**What is the reduced mass in two body problem?**

Figure 2.7: Two-body problem. (which is why it is called the “reduced” mass). We conclude that the dynamics of an isolated system consisting of two interacting point objects can always be reduced to that of an equivalent system consisting of a single point object moving in a fixed force field.

## What is reduced mass in center of mass?

Reduced Mass and Problem involving reduced mass Definition: When two bodies in relative motion are acted upon by a central force involving Newton’s law then the system can be replaced by a single mass called the reduced mass. Example: A light spring of force constant K is held between two blocks of masses m and 2m.