Rigid body

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Rigid body

Statics Statics is the study of bodies and structures that are in equilibrium. For a body to be in equilibriumthere must be no net force acting on it.

Rigid body

In addition, there must be no net torque acting on it. Figure 17A shows a body in equilibrium under the action of equal and opposite forces. Figure 17B shows a body acted on by equal and opposite forces that produce a net torque, tending to start it rotating.

It is therefore not in equilibrium. A A body in equilibrium under equal and opposite forces. B A body not in equilibrium under equal and opposite forces. When a body has a net force and a net torque acting on Rigid body owing to a combination of forces, all the forces acting on the body may be replaced by a single imaginary force called the resultantwhich acts at a single point on the body, producing the same net force and the same net torque.

The body can be brought into equilibrium by applying to it a real force at the same point, equal and opposite to the resultant. This force is called the equilibrant. An example is shown in Figure Thus, for a body to be at equilibrium, not only must the net force on it be equal to zero but the net torque with respect to any point must also be zero.

Fortunately, it is easily shown for a rigid body that, if the net force is zero and the net torque is zero with respect to any one point, then the net torque is also zero with respect to any other point in the frame of reference.

A body is formally regarded as rigid if the distance between any set of two points in it is always constant. In reality no body is perfectly rigid. When equal and opposite forces are applied to a body, it is always deformed slightly.

Calling a body rigid means that the changes in the dimensions of the body are small enough to be neglected, even though the force produced by the deformation may not be neglected. Equal and opposite forces acting on a rigid body may act so as to compress the body Figure 19A or to stretch it Figure 19B.

The bodies are then said to be under compression or under tensionrespectively. Strings, chains, and cables are rigid under tension but may collapse under compression. On the other hand, certain building materials, such as brick and mortar, stone, or concrete, tend to be strong under compression but very weak under tension.

A Compression produced by equal and opposite forces. B Tension produced by equal and opposite forces.

The most important application of statics is to study the stability of structures, such as edifices and bridges. In these cases, gravity applies a force to each component of the structure as well as to any bodies the structure may need to support.

The force of gravity acts on each bit of mass of which each component is made, but for each rigid component it may be thought of as acting at a single point, the centre of gravitywhich is in these cases the same as the centre of mass.

To give a simple but important example of the application of statics, consider the two situations shown in Figure In Figure 20A the members are under tension; in Figure 20B they are under compression.

In either case, the force acting along each of the members is shown to be Figure A A body supported by two rigid members under tension. B A body supported by two rigid members under compression. In other words, the mass cannot be hung from thin horizontal members only capable of carrying either the compression or the tension forces of the mass.

The ancient Greeks built magnificent stone temples ; however, the horizontal stone slabs that constituted the roofs of the temples could not support even their own weight over more than a very small span.- Your personality - Your body - Your needs - Your goals - Your lifestyle Wicked Wheelchairs is your leading sales & service centre for rigid wheelchairs, folding wheelchairs and paediatric wheelchairs.

Our wheelchairs are custom built and fitted out with the best accessories such as wheelchair backrests & specialist wheelchair cushions to be as individual as you are and to service your. kaja-net.com is 2D rigid body JavaScript physics engine for the web.

The kinematics of a rigid body yields the formula for the acceleration of the particle in terms of the position and acceleration of the reference point, as well as the angular velocity vector and angular acceleration vector of the rigid system as. Rigid bodies Statics.

Statics is the study of bodies and structures that are in kaja-net.com a body to be in equilibrium, there must be no net force acting on kaja-net.com addition, there must be no net torque acting on it. Figure 17A shows a body in equilibrium under the action of equal and opposite forces.

Figure 17B shows a body acted on by equal and opposite forces that produce a net torque. Feb 12,  · Where bones meet. Joints are the place where two bones meet. All of your bones, except for one (the hyoid bone in your neck), form a joint with another bone.

A rigid body is like an extension of a particle because it also has mass, position and velocity. Additionally, it has volume and shape, and so it can rotate.

That adds more complexity than it sounds, especially in three dimensions.

Mechanics - Rigid bodies | kaja-net.com