rigid body

(noun)

An idealized solid whose size and shape are fixed and remain unaltered when forces are applied; used in Newtonian mechanics to model real objects.

Related Terms

  • point particle
  • center of mass

Examples of rigid body in the following topics:

  • The Physical Pendulum

    • In contrast, a physical pendulum (sometimes called a compound pendulum) may be suspended by a rod that is not massless or, more generally, may be an arbitrarily-shaped, rigid body swinging by a pivot (see ).
    • Gravity acts through the center of mass of the rigid body.
    • In case we know the moment of inertia of the rigid body, we can evaluate the above expression of the period for the physical pendulum.
    • The important thing to note about this relation is that the period is still independent of the mass of the rigid body.
    • However, it is not independent of the mass distribution of the rigid body.
  • Center of Mass and Translational Motion

    • We considered that actual three dimensional rigid bodies move such that all constituent particles had the same motion (i.e., same trajectory, velocity and acceleration).
    • By doing this, we have essentially considered a rigid body as a point particle.
    • Different parts of a body have different motions.
    • This concept of COM, therefore, eliminate the complexities otherwise present in attempting to describe motions of rigid bodies.
    • We describe the translational motion of a rigid body as if it is a point particle with mass m located at COM.
  • Center of Mass and Inertia

    • The center of mass for a rigid body can be expressed as a triple integral.
    • In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located at the centroid.
    • The center of mass may be located outside the physical body, as is sometimes the case for hollow or open-shaped objects, such as a horseshoe.
    • In the case of a distribution of separate bodies, such as the planets of the Solar System, the center of mass may not correspond to the position of any individual member of the system.
    • Two bodies orbiting around the center of mass inside one body
  • Motion of the Center of Mass

    • We can describe the translational motion of a rigid body as if it is a point particle with the total mass located at the COM—center of mass.
    • We can describe the translational motion of a rigid body as if it is a point particle with the total mass located at the center of mass (COM).
    • The red cross represents the COM of the two-body system.
    • Derive the center of mass for the translational motion of a rigid body
  • General Problem-Solving Tricks

    • rigid extended.
    • A force on an extended rigid body is asliding vector.
    • non-rigid extended.
    • A force on a non-rigid body is a bound vector.
    • The body: This is usually sketched in a schematic way depending on the body - particle/extended, rigid/non-rigid - and on what questions are to be answered.
  • Sculpture in the Greek Orientalizing Period

    • She is disproportionate, with long rigid legs and a short torso.
    • A dress encompasses nearly her entire body— it tethers her legs together and restricts her potential for movement.
    • The rigidity of the body recalls pharaonic portraiture from Ancient Egypt.
    • The hair appears to be braided, and falls down in rigid rows divided by horizontal bands.
    • The male body, as a public entity entitled to citizenship, is depicted nude and free to move.
  • Gross Anatomy

    • Bones support and protect the body and its organs.
    • Bone (osseous) tissue, is the structural and supportive connective tissue of the body and forms forms the rigid part of the bones that make up the skeleton.
    • Bones support and protect the body and its organs.
    • Bone (osseous) tissue, is the structural and supportive connective tissue of the body and forms forms the rigid part of the bones that make up the skeleton.
    • The long bones in the body are as follows:
  • Sculpture in the Greek Archaic Period

    • The New York Kouros strikes a rigid stance and his facial features are blank and expressionless.
    • As kouroi figures developed, they began to lose their Egyptian rigidity and became increasingly naturalistic.
    • Unlike men, whose bodies were perceived as public, belonging to the state, women's bodies were deemed private, belonging to their fathers (if unmarried) or husbands.
    • The male warrior is depicted nude, with a muscular body that shows the Greeks' understanding of the musculature of the human body.
    • However, despite the naturalistic characteristics of the body, the body does not seem to react to its environment or circumstances.
  • Cystoscopy

    • There are two main types of cystoscopy (flexible and rigid), and they differ in the flexibility of the cystoscope.
    • Rigid cystoscopy can be performed under the same conditions, but is generally carried out under general anaesthesia, particularly in male subjects, due to the pain caused by the probe.
    • The urethra is the tube that carries urine from the bladder to the outside of the body.
  • Velocity of Blood Flow

    • At its simplest, imaging a perfect rigid tube with no resistance and with a homogenous liquid flowing through perpendicularly, flow can be calculated using the following formula:
    • The above example refers to, "a perfect rigid tube with no resistance and with a homogenous liquid flowing through perpendicularly".
    • Pressure is greatest immediately after exiting the heart and drops as it circulates around the body, particularly through the arterioles and capillary networks.
    • These individual elements are tightly regulated by the body to maintain sufficient flow to the bodies organs and tissues
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