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Byju's Answer
Standard XII
Physics
Time Period Independent of Amplitude
A small block...
Question
A small block oscillates back and fourth on a smooth concave surface of radius
R
shown in the figure . Find the time period of small oscillation.
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Solution
Solution
REF.Image
Torque about
O
=
(
m
g
s
i
n
θ
)
R
If
θ
≈
O
(very small)
then,
T
=
m
g
R
.
θ
For angular SHM
T
=
C
.
θ
Here,
C
=
m
g
R
So, Time period =
2
π
√
I
C
=
2
π
√
m
R
2
m
g
R
T
=
2
π
√
R
g
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Q.
A small block oscillates back and forth on a smooth concave surface of radius R (figure 12−E17). Find the time period of small oscillation.
Figure