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Questions and Answers
What is the term used to describe the motion of a particle along a circular path?
What is the term used to describe the motion of a particle along a circular path?
- Rotational motion
- Circular motion (correct)
- Linear motion
- Oscillatory motion
What does the direction of the instantaneous velocity do as a particle moves along the circular path?
What does the direction of the instantaneous velocity do as a particle moves along the circular path?
- Reverses periodically
- Becomes zero
- Changes continuously (correct)
- Remains constant
Why are finite angular displacements not considered true vectors?
Why are finite angular displacements not considered true vectors?
- They have magnitude and direction (correct)
- They do not have magnitude and direction
- They obey commutative and associative laws of vector addition
- They obey commutative and associative laws of vector addition
What term is used for infinitesimal angular displacements that obey the commutative and associative laws of vector addition?
What term is used for infinitesimal angular displacements that obey the commutative and associative laws of vector addition?
How is the magnitude of the vector representing infinitesimal angular displacement denoted graphically?
How is the magnitude of the vector representing infinitesimal angular displacement denoted graphically?
What rule determines the direction of the vector representing infinitesimal angular displacement?
What rule determines the direction of the vector representing infinitesimal angular displacement?
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Study Notes
Circular Motion
- Motion of a particle along a circular path is termed circular motion.
Instantaneous Velocity
- The direction of the instantaneous velocity is tangent to the circular path at any given point, indicating the direction of the particle’s motion.
Angular Displacements as Vectors
- Finite angular displacements are not considered true vectors because they do not conform to the commutative property—the order of operations affects the result.
Infinitesimal Angular Displacements
- Infinitesimal angular displacements that adhere to the rules of vector addition are referred to as angular vectors. They follow commutative and associative laws.
Graphical Representation
- The magnitude of the vector representing infinitesimal angular displacement is graphically denoted by the length of the vector arrow.
Direction Determination
- The right-hand rule is employed to determine the direction of the vector that represents infinitesimal angular displacement.
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