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Physics
Physics
Problem
For a rigid body of mass
M
M
M
and moment of inertia
I
I
I
that is rolling without slipping with translational speed
v
v
v
and angular speed
ω
\omega
ω
, which expression gives its total kinetic energy
K
tot
K_{\text{tot}}
K
tot
? a)
1
2
M
v
2
+
I
ω
2
\tfrac12 M v^2 + I\omega^2
2
1
M
v
2
+
I
ω
2
b)
1
2
M
v
2
+
1
2
I
ω
2
\tfrac12 M v^2+\tfrac12 I\omega^2
2
1
M
v
2
+
2
1
I
ω
2
c)
1
2
I
ω
2
\tfrac12 I\omega^2
2
1
I
ω
2
d)
1
2
M
v
2
\tfrac12 M v^2
2
1
M
v
2
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