Suppose a point moves along a circle with radius R as shown in the figure below. The point travels a distance s along the cricle in time t. The linear speed of the point is:
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
Suppose a point moves along a circle with radius R as shown in the figure below. The point travels a distance s along the cricle in time t.
The linear speed of the point is:
![**Transcription for Educational Website:**
Suppose a point moves along a circle with radius \( r \) as shown in the figure below. The point travels a distance \( s \) along the circle in time \( t \).
**Diagram Explanation:**
The diagram depicts a circle with a radius labeled as \( r \). A section of the circle’s circumference is highlighted to indicate the path traveled by a point moving along the circle. This path is marked by the arc length \( s \).
- The angle \( \theta \) is formed at the center of the circle, between the radius extending to the starting point and the radius extending to the endpoint of the arc.
- The arc representing the distance \( s \) traveled by the point is shown in red.
- The radius \( r \) is shown as the dashed line from the center to the edge of the circle.
This visualization helps illustrate concepts such as angular displacement, arc length, and relationships between angle and circle properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffade0bae-4c2d-48bb-abcb-ea0806dfa137%2F975dc387-8cbe-4ced-981e-8e3d6c633b6a%2Fkwzz8r3_processed.png&w=3840&q=75)
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