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Byju's Answer
Standard XII
Mathematics
Linear Functions
How to find o...
Question
How to find out the equation of shm from F=-kx that is X=A sin(wt +fi)
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Q.
A particle is subjected to two SHMs of displacement
x
1
=
5
sin
(
ω
t
)
and
x
2
=
3
sin
(
ω
t
+
60
∘
)
respectively. Find out the equation of displacement of the resulting SHM.
Q.
The formula to find mean from a grouped frequency table is
X
=
A
+
∑
f
i
u
i
∑
f
i
×
h
g
. In the formula,
u
i
=
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Q.
Consider a spring that exerts restoring force
F
=
−
k
x
for
x
>
0
,
F
=
−
2
k
x
for
x
<
0
. A mass
m
on a frictionless surface is attached to this spring, displaced to
x
=
A
and released. Find the time period of motion.
Q.
In
S
H
M
restoring force is
F
=
−
k
x
, where
k
is force constant,
x
is displacement and
a
is amplitude of motion, then total energy depends upon
Q.
The equation of motion of a particle executing SHM is
(
d
2
x
d
t
2
)
+
k
x
=
0
. The time period of the particle will be ?
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