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Physics
Physics
Problem
Consider a simple pendulum of length
L
L
L
and bob inertial mass
m
i
m_i
m
i
oscillating near Earth’s surface. If the ratio
m
g
m
i
=
k
≠
1
\dfrac{m_g}{m_i}=k \neq 1
m
i
m
g
=
k
=
1
, which expression gives the period
T
T
T
of small oscillations? a)
T
=
2
π
k
L
g
T = 2\pi k\,\sqrt{\dfrac{L}{g}}
T
=
2
π
k
g
L
b)
T
=
2
π
L
g
T = 2\pi\sqrt{\dfrac{L}{g}}
T
=
2
π
g
L
c)
T
=
2
π
L
k
g
T = 2\pi\sqrt{\dfrac{L}{k g}}
T
=
2
π
k
g
L
d)
T
=
2
π
k
L
g
T = 2\pi\sqrt{\dfrac{k L}{g}}
T
=
2
π
g
k
L
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