# Equilibrium and Elasticity

## Some Examples Of Static Equilibrium

Some Examples Of Static Equilibrium In this section we examine four sample problems involving static equilibrium. In each, we select a system of one or more objects to which we apply the equations of equilibrium. The forces involved in the equilibrium are all in the, which means that the torques involved are parallel to the z axis. Thus, in …

## Proof

Proof First, we consider the individual elements of the body.Shows an extended body, of mass M, and one of its elements, of mass m.. A gravitational force F.i acts on each such element and is equal.The subscript on  means  is the gravitational acceleration at the location of the element (it can be different for other elements). Next, we …

## The Center Of Gravity

The Center Of Gravity The gravitational force on an extended body is the vector sum of the gravitational forces acting on the individual elements (the atoms) of the body. Instead of considering all those individual elements. we can say: Here the word effectively means that if the forces on the individual elements were somehow turned off and force …

## The Requirements of Equilibrium

The Requirements of Equilibrium The transnational motion of a body is governed by Newton’s second law in its linear momentum form, given by 1_ The vector sum of all the external forces that act on the body must be zero. 2_ The vector sum of all the external torques that act on the body, measured about …

## Equilibrium

Equilibrium Consider these objects: (I) a book resting on a table. (2) a hockey puck sliding across a friction less surface with constant velocity. (3) the rotating blades of a ceiling fan. and (4) the wheel of a bicycle that is traveling along a straight path at constant speed. For each of these four objects: 1. The linear …

## Equilibrium and Elasticity

Equilibrium and Elasticity Rock climbing may be the ultimate physics exam. Failure can mean death, and even partial credit can mean severe injury. For example, in a long chimney climb, in which your torso is pressed against one wall of a wide vertical fissure and your feet are pressed against the opposite wall you need to rest occasionally or you …