- Uniform Circular Motion
- Circular Motion
- Angular Momentum
- Projectile and Circular Motion
- Circular Dynamics Review
- Rotational Kinematics Review
- Model Airplane on a Wire
- Sliding Bead on Wire
- Circular Motion with Gravity
- Angular Speed
- Whirling Objects
- Circular Motion Inside a Cone
- Car on a Banked Turn
- U-Control Model Airplane
- Circular Motion and Conservation of Mechanical Energy
- Beads Sliding Along a Ring
- Circular Motion and Reference Frames
- Centripetal Force and Friction
- Non-Uniform Circular Motion
- Accelerating Circular Motion
- Centripetal Force
- Centripetal Acceleration
- Car Wreck
- Vertical Circular Motion
- Bicycle Tire
- Turntable
- Spinning Ball
- Rolling and Work
- Experiment 4 Pre-Lab
- Rotational Kinematics
- Banked Turn
- Tetherball
- Circular Racetrack
- Circular Motion of a Car
- Spinning Rod and Mass
- Equilibrium of a Runner
- Circular Motion in a Cone
- Experimental Centripetal Force
- Ball in a Vertical Circle
- Marooned on an Asteroid
- Water Bucket
- Conservation of Energy
Uniform Circular Motion
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Dynamics of uniform circular motion; motion in a vertical circle, with example; conical pendulum, with examples.
Centripetal acceleration of a puck moving in a circle.
- Complete exam problem 1a
- Check solution to
exam problem 1a
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Speed and acceleration of an object moving in a circle of constant radius.
- Complete practice problem 1
- Check solution to practice problem 1
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Tension of a string holding a stone moving in a vertical circular path.
- Complete practice problem 14
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Period of a rotating disc attached to a spring.
- Complete
exam problem 3
- Check solution to exam problem 3
Circular Motion
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Uniform circular motion; centripetal acceleration; non-uniform circular motion; reference frames; relativity of motion; problem-solving strategy for relative velocities with examples.
Speed of an object with a constantly changing velocity vector.
- Complete exam problem 1b
- Check solution to
exam problem 1b
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Position and displacement of object in circular orbit; magnitude of displacement; magnitude of velocity and angular velocity; direction of velocity; tangential acceleration defined; uniform circular motion; period and frequency of orbit.
Summary of circular motion, with equations; circular motion vector description, with equations; circular motion modeling problems; analysis of acceleration in circular motion.
Angular velocity of two bugs on a merry-go-round.
- Complete practice problem 1
Linear acceleration of a bug on a merry-go-round.
- Complete practice problem 2
Tangential acceleration of a bug on a merry-go-round.
- Complete practice problem 3
Acceleration of ice sliding in a bowl.
- Complete practice problem 13
Angular Momentum
Parallel-axis theorem, with example; perpendicular-axis theorem, with examples; definition of angular momentum of a particle; definition of central forces; angular momentum of a particle moving in a straight line; angular momentum of a particle in uniform circular motion; angular momentum of a conical pendulum.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Projectile and Circular Motion
Projectile motion equations; circular motion equations; centripetal acceleration, with equation; imensional analysis method.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Circular Dynamics Review
Position vector of circular orbit; angular velocity and tangential velocity; radial acceleration; uniform circular motion; non-uniform circular motion; comparison of linear and circular motion at constant acceleration; problem solving strategy involving circular motion.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Rotational Kinematics Review
Fixed axis rotational kinematics, with definitions of angular velocity, angular acceleration, tangential velocity, tangential acceleration, and radial acceleration.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Model Airplane on a Wire
3-part problem; calculating tension in wire, critical angle, and safe speed for flight.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
- Complete practice problem 6
- Check solution to practice problem 6
Sliding Bead on Wire
3-part problem; finding normal force from wire and height the bead attains on the way back up.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
- Complete practice problem 4
- Check solution to
practice problem 6
Circular Motion with Gravity
Forces and acceleration of objects moving in vertical circular paths.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
- Complete practice problem 1
Angular Speed
Relative angular speed of two objects at different points on a merry-go-round.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
- Complete practice problem 1
Whirling Objects
Forces acting on two bodies rotating around a shaft with constant angular velocity.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 11
- Check solution to practice problem 11
Circular Motion Inside a Cone
Motion of an object in a circular orbit along the inside of a cone.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 12
- Check solution to practice problem 12
Car on a Banked Turn
Finding velocity needed to keep a car from slipping on a banked turn.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 13
- Check solution to practice problem 6
U-Control Model Airplane
Motion of a plane tethered to a fixed point.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 14
- Check solution to
practice problem 14
Circular Motion and Conservation of Mechanical Energy
Motion of an object along a frictionless loop-the-loop track.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 23
- Check solution to practice problem 23
Beads Sliding Along a Ring
Forces acting on a suspended ring with sliding beads.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 23
- Check solution to
practice problem 23
Circular Motion and Reference Frames
Motion of a ball thrown from a merry-go-round.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 4
Centripetal Force and Friction
Minimum angular speed required for "barrel of fun."
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 5
Non-Uniform Circular Motion
Speed of an object moving in a circular path with non-uniform acceleration.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 6
Accelerating Circular Motion
Direction of acceleration vector for object in circular motion with increasing speed.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 7
Centripetal Force
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Forces acting on a passenger in a car navigating a circular turn.
- Complete practice problem 8
Source of centripetal force for a ball moving on turning truck bed.
- Complete practice problem 10
Centripetal Acceleration
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Forces capable of producing centripetal acceleration.
- Complete practice problem 9
Acceleration of a puck moving in a uniform circle on a table.
- Complete practice problem 15
Acceleration of a puck moving in a uniform circle on a table with a shorter lever arm.
- Complete practice problem 16
Car Wreck
Determining spinning motion of a wrecked car.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 11
Vertical Circular Motion
Tension in a string holding a ball being swung in a vertical circle.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 17
Bicycle Tire
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Speed of a point on the outside of a tire in relation to the speed of the center of mass.
- Complete practice problem 18
Relative speeds of points on the outside of a rolling tire.
- Complete practice problem 19
Direction of motion of points on the outside of a rolling tire.
- Complete practice problem 20
Turntable
Forces acting on a cube lying on a spinning turntable.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 21
Spinning Ball
Tension in strings suspending a ball from a spinning vertical rod.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 4
Rolling and Work
Work done on a ball rolling in a spiral path along the inside of a hollow cylinder.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 11
Experiment 4 Pre-Lab
Finding the spring constant of a spring; finding the radius of an object in uniform circular motion.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 5
- Check solution to practice problem 5
Rotational Kinematics
Velocity and centripetal acceleration of a person on the Earth's surface.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 1
- Check solution to practice problem 1
Banked Turn
Motion of a car traversing a banked circular turn.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 2
- Check solution to practice problem 2
Tetherball
Motion of a ball suspended from a string and travelling in a vertical circle.
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8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
- Complete practice problem 3
- Check solution to practice problem 3
Circular Racetrack
Maximum speed before skidding for car on frictional track for two different masses; Angular velocity.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
- Complete
exam problem 2
- Check solution to
exam problem 2
Circular Motion of a Car
Motion of a car driving along the inside of a hollow cone.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
- Complete
exam problem 7
- Check solution to exam problem 7
Spinning Rod and Mass
Dynamics of a system of a mass suspended from a vertical spinning rod by a string and pulley.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
- Complete
exam problem 10
- Check solution to exam problem 10
Equilibrium of a Runner
Forces and torques acting on a runner rounding a circular track.
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8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
- Complete exam problem 4
- Check solution to exam problem 4
Circular Motion in a Cone
4-part problem; drawing free-body diagram and finding v, T for object; maximum speed with friction.
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8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
- Complete
exam problem 2
- Check solution to exam problem 2
Experimental Centripetal Force
Finding ω, T, f for nut revolving around axis on end of a rubber band.
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8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
- Complete
exam problem 4A
- Check solution to exam problem 4A
Ball in a Vertical Circle
Speed and tension at the top of the circle for ball swinging around.
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8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
- Complete
exam problem 2
- Check solution to exam problem 2
Marooned on an Asteroid
4-part problem; finding compression necessary to launch pen into orbit; speed and radius in orbit.
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8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
- Complete
exam problem 3
- Check solution to exam problem 3
Water Bucket
Motion of a water bucket spun in a vertical circle.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
- Complete exam problem 2
- Check solution to exam problem 2
Conservation of Energy
Kinematics and dynamics of a tethered ball traveling in a vertical circle.
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8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
- Complete exam problem 5
- Check solution to
exam problem 5