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Tardigrade
Question
Physics
The displacement of a particle executing simple harmonic motion is given by y =A0+ A sin wt + B cos wt Then the amplitude of its oscillation is given by:
Q. The displacement of a particle executing simple harmonic motion is given by
y
=
A
0
+
A
s
in
wt
+
B
cos
wt
Then the amplitude of its oscillation is given by:
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Oscillations
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A
A
0
2
+
(
A
+
B
)
2
22%
B
A
+
B
4%
C
A
0
+
A
2
+
B
2
36%
D
A
2
+
B
2
37%
Solution:
x
=
A
0
+
A
sin
wt
+
B
cos
wt
x
−
A
0
=
A
sin
wt
+
B
cos
wt
∴
Amplitude
=
A
2
+
B
2
+
2
A
B
cos
90
=
A
2
+
B
2