Tardigrade
Tardigrade - CET NEET JEE Exam App
Exams
Login
Signup
Tardigrade
Question
Physics
The position x of particle moving along x-axis varies with time t as x=A sin (ω t) where A and ω are positive constants. The acceleration a of particle varies with its position (x) as
Q. The position
x
of particle moving along
x
-axis varies with time
t
as
x
=
A
sin
(
ω
t
)
where
A
and
ω
are positive constants. The acceleration a of particle varies with its position
(
x
)
as
3526
204
Motion in a Straight Line
Report Error
A
a
=
A
x
B
a
=
−
ω
2
x
C
a
=
A
ω
x
D
a
=
ω
2
×
A
Solution:
x
=
A
sin
ω
t
d
t
d
x
=
A
ω
cos
ω
t
⇒
d
t
2
d
2
x
=
−
A
ω
2
sin
ω
t
⇒
a
=
−
ω
2
x
(
∵
A
sin
ω
t
=
x
)