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Mathematics
Mathematics
Problem
Which expression gives the horizontal displacement
x
x
x
of the bob of a simple pendulum of length
L
L
L
in terms of its small angular displacement
θ
\theta
θ
(in radians)? a)
x
=
L
θ
2
x = L\theta^{2}
x
=
L
θ
2
b)
x
=
L
sin
θ
x = L\sin\theta
x
=
L
sin
θ
c)
x
=
L
θ
x = L\theta
x
=
L
θ
d)
x
=
L
(
1
−
cos
θ
)
x = L\left(1-\cos\theta\right)
x
=
L
(
1
−
cos
θ
)
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