Search results
Jan 16, 2022 · Using the definition of static equilibrium to set up equations that allow for the analysis of rigid body systems. Includes several worked examples.
Equilibrium is a state of body where neither the internal energy nor the motion of the body changes with respect to time. Let us try to understand the equilibrium of a rigid body.
Nov 22, 2022 · In a two dimensional problem, the body can only have clockwise or counter clockwise rotation (corresponding to rotations about the z axis). This means that a rigid body in a two dimensional problem has three possible equilibrium equations; that is, the sum of force components in the x and y directions, and the moments about the z axis.
In this chapter we will investigate the equilibrium of simple rigid bodies like your book, phone, or pencil. The important difference between rigid bodies and the particles of Chapter 3 is that rigid bodies have the potential to rotate around a point or axis, while particles do not.
This means that a rigid body in a two dimensional problem has three possible equilibrium equations; that is, the sum of force components in the x and y directions, and the moments about the z axis. The sum of each of these will be equal to zero.
This chapter will investigate the equilibrium of simple rigid bodies like your book, phone, or pencil. The important difference between rigid bodies and the particles of Chapter 3 is that rigid bodies have the potential to rotate around a point or axis, while particles do not.
To ensure equilibrium of a rigid body, it is not only necessary to satisfy equations of equilibrium, but the body must also be properly constrained by its supports •Redundant constraints: the body has more supports than necessary to hold it in equilibrium; the problem is STATICALLY INDERTERMINATE and cannot be solved with statics alone ...
Rotations of the body are taken by xing axes with respect to the body (we will denote these body xed axes with primes) and describing their orientation with respect to the unprimed axes by 3 angles ( ; ; ). A particularly useful choice of angles are called Euler angles.
Condition for Rigid Body Equilibrium. Consider a rigid body in equilibrium , a free body of a particle i. Fi is the external force due to gravitational, contact forces between the particle and the surrounding bodies. Fi is the resultant internal force. caused by interaction within adjacent particles.
In the mechanical equilibrium of a rigid body, the linear momentum and angular momentum remain unchanged with time. This implies that the body under the influence of external force neither has a linear acceleration nor an angular acceleration.
