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y
g e the
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angular frsupported by a 3k/m. (of)forceuconstant rk. uency if
equency
√ spring b Eval ate the f eq The moment of tinertia xoffrtomplank ﬁxmdnend; itshat os, v (x/ )v.
ance
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i
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the mass Is= .00 kg .and the springdisplaced rby cosmall tangle θ from horizontal equilibrium and released.
i 5 3 mL2 The plank is has a fo ce a nstan of
note that the mass of a segment of the
100 N/m.Find the angular frequency ω of simple harmonic motion. (Hint: consider the torques about the
is dm (m/ )dx. Find (a) the kinetic energy o
pivot point.)
system when the block has a speed v and (b) the p
of oscillation.
Pivot v
θ dx
k x
M Figure P15.61 Figure P15.66
Solution: The presence of a pivot point – even labeled as such – immediately suggests the use of
torque to solve this problem. First, we need to ﬁnd the compression of the spring at equilibrium,
62. Review problem. A particle of mass 4.00 kg is attached to
67.
A ball of mass m is connected to two rubber ba
i.e.,
a spring with ...
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 Fall '08
 StanJones
 Physics, Force, Mass, Simple Harmonic Motion, Work, pivot point

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