Rigid Body Dynamics Quiz

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Questions and Answers

What is the significance of the center of mass in a system of particles?

  • It represents the average position of all the particles in the system. (correct)
  • It determines the shape of the rigid body.
  • It is the point where the total mass of the system is concentrated. (correct)
  • It indicates the location of the heaviest particle in the system.

Which of the following best defines a rigid body?

  • A body whose particles are free to move independently.
  • A body that does not deform and maintains a constant shape. (correct)
  • A body made entirely of particles with zero size.
  • A body that can change shape under an applied force.

Why is treating large bodies as point masses inadequate?

  • Their mass cannot be concentrated at a single point.
  • They always change shape under any motion.
  • They participate in rotational motion only.
  • They have a finite size and their internal structure affects motion. (correct)

What is one characteristic of real bodies that is often negligible in certain scenarios?

<p>Their deformation under force. (D)</p> Signup and view all the answers

What can be assumed about the motion of particles in a rigid body?

<p>The distances between particles do not change. (B)</p> Signup and view all the answers

What characterizes pure rotational motion?

<p>All particles have the same angular velocity around a fixed axis. (D)</p> Signup and view all the answers

In rolling motion, what happens to the point of contact with the surface?

<p>It stays at rest at all times. (A)</p> Signup and view all the answers

What defines a rigid body?

<p>A body that maintains its shape and size, neglecting deformations. (D)</p> Signup and view all the answers

Which is an example of rolling motion?

<p>A sphere rolling down a hill. (C)</p> Signup and view all the answers

Which statement is true about rotation about a fixed axis?

<p>It restricts a rigid body from translation around that axis. (B)</p> Signup and view all the answers

Flashcards

Rigid body

A body with a fixed shape and distance between particles remain constant. Real bodies deform under force but often negligible in many situations.

Center of mass

The point representing the average position of all the particles in a system, weighted by their masses.

Translational motion

Motion where all points in a rigid body move along parallel paths. No rotation occurs.

Rotational motion

Motion where a body rotates around a fixed axis. All points in the body move in circles.

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Systems of particles and rotational motion

The study of the motion of systems of particles, especially rigid bodies.

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Pure Translational Motion

Movement of a rigid body where every point on the body moves with the same velocity at any given time.

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Pure Rotational Motion

Movement where all points on the body rotate around a fixed axis with the same angular velocity.

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Rolling Motion

Motion that is a combination of rotation and translation. The point of contact between the body and the surface is at rest, but other points have different velocities.

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Rotation about a Fixed Axis

Movement around a fixed axis. The axis can be imaginary or real, and the body can be fixed to the axis.

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