- Measurement
- Motion In One Dimension
- Motion In Two Dimensions
- Newton's First Law
- Newton's Second Law
- Newton's Third Law
- Statics Of Rigid Bodies
- Applications Of Newton's Laws
- Gravity
- Work and Energy
- Momentum
- Rotational Motion
-
-
-
-
-
-
-
-
-
-
-
-
-
- Properties of Matter
|
video - Rolling Objects and Moments of Inertia
Purpose:
To show objects that have different moments of inertia accelerate at different rates when rolling down an inclined plane.
Procedure:
DEMO VIDEO DOWNLOAD
Roll different objects down the incline in race fashion, starting them with the meter stick. Interpret results in terms of moments of inertia. For example:
- Solid cylinders of different mass and radius roll down the incline at the same rate & reach the bottom at the same time.
- Objects of equal mass and radius but different shape or solid/hollow will roll down the incline at different rates. Solid sphere is faster than solid cylinder since sphere has lower moment of inertia, higher translational kinetic energy. Hollow object is slower than equivalent solid object.
- Objects of same dimension but different mass will reach the bottom at the same time.
Four major "pre-packaged" demos are available:
- Two objects with the same mass but different mass distribution roll differently.
- Two object of different mass but similar outer shape can roll quite differently. The lighter shell rolls slower than a heavier solid cylinder demonstrating that the R2 "wins" over the mass term.
- Two objects of different masses and different shapes can roll quite similarly (not quite).
- Two objects with similar geometrical mass distribution (2 different solid cylinders or 2 different hollow cylinder) roll independently of the radius or mass. The time of descend only depends on the "geometrical multiplier coefficient" k, I=kmR2.
Equipment:
- Meter Stick
- Inclined Plane
- Rolling Moment of Inertia objects
|
