Podcast
Questions and Answers
What is the trajectory graph for uniform circular motion?
What is the trajectory graph for uniform circular motion?
A circle
What is any motion in which an object repeats the same movement over and over called?
What is any motion in which an object repeats the same movement over and over called?
Oscillatory motion
Flashcards
Oscillatory Motion
Oscillatory Motion
Any motion in which an object repeats the same movement over and over. It can be described mathematically using sine or cosine waves, which show smooth periodic oscillation.
Trajectory
Trajectory
The path a projectile takes through the air. It's a curved path shaped like a parabola. It can be represented mathematically using a quadratic function.
Trajectory Graph
Trajectory Graph
A two-dimensional dot diagram that shows the object's total trajectory, which can be drawn as a line or a two-dimensional dot diagram.
Position Graph
Position Graph
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Velocity Graph
Velocity Graph
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Uniform Motion
Uniform Motion
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Accelerated Motion
Accelerated Motion
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Centripetal Acceleration
Centripetal Acceleration
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Centripetal Vector
Centripetal Vector
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Similar Triangles
Similar Triangles
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Adding Velocities in Two Dimensions
Adding Velocities in Two Dimensions
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Projectile
Projectile
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Projectile Motion
Projectile Motion
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Analyzing Projectile Motion
Analyzing Projectile Motion
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Velocity
Velocity
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Velocity Components of Projectile
Velocity Components of Projectile
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Acceleration
Acceleration
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Acceleration Due to Gravity
Acceleration Due to Gravity
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Uniform Circular Motion
Uniform Circular Motion
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Resultant Velocity
Resultant Velocity
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River Crossing
River Crossing
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River Crossing Example
River Crossing Example
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Magnitude of Velocity
Magnitude of Velocity
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Direction of Velocity
Direction of Velocity
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Period
Period
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Frequency
Frequency
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Study Notes
Graphing Circular Motion
- The trajectory graph for uniform circular motion is a circle.
- However, the graphs of position vs. time for the horizontal and vertical motions appear to oscillate.
- An oscillatory motion is any motion in which an object repeats the same movement over and over.
- Oscillatory motion can be described mathematically using either a sine wave or a cosine wave.
- These are trigonometric curves that describe smooth periodic oscillation.
- When a sine wave is at its maximum, the corresponding cosine wave is at its zero, and vice versa.
- The equations for oscillatory motion are: x = R cos(ωt/R) and y = R sin(ωt/R)
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