A doubt from rigid body dynamics

In summary, a rigid body is an object that does not deform under external forces, maintaining a fixed distance between all points. The main difference between a rigid body and a non-rigid body is that the latter can change shape and size. In dynamics, a rigid body's motion is described using translation and rotation, and the principle of rigid body dynamics states that external forces and torque will cause changes in its motion. The motion of a rigid body is affected by external forces through the principles of Newton's laws of motion, with the magnitude and direction of these effects dependent on the mass, distribution, and external forces acting on the body.
  • #1
vijayramakrishnan
90
0
in rigid body dynamics is this relation between velocity of centre of mas and velocity of any particle in the rigid body correct?
vcm = vp + rXω

r is the position vector of the particle with respect to centre of mass

relations are written in vector form and also tell me how to calculate direction of ω.
 
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  • #2
ω=(v × r) /r^2
 
  • #3
tade said:
ω=(v × r) /r^2
what is v here sir?
 

1. What is a rigid body in dynamics?

A rigid body is a theoretical concept used in mechanics to describe an object that does not deform under external forces. This means that all points on the object maintain a fixed distance from each other and the shape and size of the object do not change.

2. What is the difference between a rigid body and a non-rigid body?

The main difference between a rigid body and a non-rigid body is that a rigid body does not deform under external forces, while a non-rigid body can change shape and size. Additionally, a rigid body is usually considered to have a uniform density, while a non-rigid body can have varying densities throughout its structure.

3. How is a rigid body's motion described in dynamics?

In dynamics, a rigid body's motion is described using concepts such as translation and rotation. Translation refers to the linear movement of the rigid body, while rotation refers to its circular or angular movement. These concepts are used to describe the position, velocity, and acceleration of a rigid body in motion.

4. What is the principle of rigid body dynamics?

The principle of rigid body dynamics states that the net external force and torque acting on a rigid body will cause a change in its motion. This principle is based on Newton's laws of motion and is used to analyze the motion of rigid bodies in various scenarios.

5. How is the motion of a rigid body affected by external forces?

The motion of a rigid body is affected by external forces through the principles of Newton's laws of motion. The net force acting on the rigid body will cause it to accelerate in the direction of the force, while the net torque will cause it to rotate. The magnitude and direction of these effects depend on the mass and distribution of the rigid body, as well as the magnitude and direction of the external forces.

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