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Physics 1D03
Energy
Serway 7.8, 7.9; 10.8
•
Examples with rotation
•
Force and Potential Energy
Practice problems:
Serway chapter 7,
problems 47, 56;
chapter 10, problems 49, 51, 65
Physics 1D03
θ
τ
d
dW
=
Δ
=
W
(for a constant torque)
K = ½ I
ω
2
=
P
Rotation about a fixed axis
Kinetic Energy:
Work:
(infinitesimal rotation)
Power:

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Physics 1D03
m
1
m
2
1 m
At what speed does m
1
hit the ground when
the blocks are released from rest?
Solve for a
massless pulley.
Repeat the solution if the
pulley has mass
M
, radius
R
, and is a uniform
disk (moment of inertia
I = ½ MR
2
).
Physics 1D03
Example
A thin (uniform) pole of length
L
and mass
m
,
initially vertical and stationary, is allowed to fall
over. Assuming it falls as if hinged at the base,
what is its angular velocity just before it hits
the ground?
Mini-quiz: How much potential energy does it lose as it falls?
A) mgL

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