Lecture series for Conceptual Physics 8 th Ed. Rotational Inertia p118. Alias: momentum of inertia. The property of an object to resist being rotated. T.R. Walker starts to fall. So, he pushes down on his right and pulls up on his left to right himself. The pole stays put.
Lecture series for Conceptual Physics 8th Ed.
Rotational Inertia p118
Alias: momentum of inertia.
The property of an object to resist being rotated
T.R. Walker starts to fall.
So, he pushesdown on his right and pullsup on his left to right himself. The pole stays put.
Whose legs have the least rotational inertia in fig. 7.3?
Fig 7.5 Rotational inertias of some shapes:
Why does disk beat hoop down ramp?
Torque = lever arm x force
At equilibrium: CCW torque = CW torque
Fl x dl = Fr x dr 300 x dl=500 x 1.5 dl=2.5m
Torque = “la” x F =F x d
Center of Mass and Center of Gravity p123
Fig 7.11 shows the ball following a smooth parabola and the bat wobbling.
In both cases, the CM makes a smooth parabola.
The white dot marks the CM of the adjustable wrench.
The CM goes straight!
Center of Gravity is basically the same as CM.
Locating the Center of Gravity p 124
Tccw = Tcw
NOTE: The weight of the stick acts at its center of gravity.
For weird shapes:
Which one is more stable?
Equilibrium exist when your CG is over your
The amount of stability is determined by how high the CG must be raised in order to tip the object over.
In fig. 7.24 which has the greater torque around the imaginary fulcrum?
What contributes to its greater torque?
Longer lever arm
More mass (force).
Peter Parker fooling around.
Centripetal Force p128
The force on a moving object that is directed towards a fixed center.
Is the water forced away from the clothes?
The clothes are forced away from the water.
5g – 1g
Loose mud flies off on a tangent.
5g + 1g
Centrifugal (the imaginary) force p129
When the car stops and you’re “thrown” against the dashboard, you don’t say a force pushed you forward.
You say, “My inertia kept me going and the dashboard pushed on me.”
The bug wants to go in a straight line but the can pushes it toward the center
Does the bug say, “I’m pushing on the floor?”
Centrifugal Force in a Rotating Frame p130
The silly bug still thinks that it is in a stationary can pushing on the floor.
You are lighter at the equator.
Bugs in the space tire think that they have “gravity”.
Simulated Gravity p 131
A force toward the center.
The reaction force
The action force
But, this is an imaginary force.
If the floor were to give way, would he fly away from the center?
He would sail off on the tangent.
Angular Momentum p133
You remember, of course, that linear momentum, p, = m x v.
Since mass and inertia are aspects of the same thing, then you wouldn’t be surprised that…
AnguLar momentum = rotational inertia x rotational velocity
L = I
(I = mr2 or I = ½ mr2, etc.)
=v / r
So, L = mr2
What is angular momentum of the ball if m = 2kg, v = 3m/s and r = 4m?
Conservation of Angular Momentum p134
A falling cat rotates its front half to rotate the back in the other direction, then straightens out for a 4 footed landing
A gymnast balls up to increase his spin rate.