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JEE Advanced 2020 Full Test 5 Paper 1
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© examsnet.com
Question : 1
Total: 54
The position vector of a particle moving in space is given by
→
r
=
(
1
+
2
cos
2
ω
t
)
⋀
i
+
(
3
sin
2
ω
t
)
⋀
j
+
(
3
t
)
⋀
k
in the ground frame. All the units are in
S
l
. Choose the correct statement (s):
The particle executes SHM in the ground frame about the mean position
(
1
,
3
2
,
3
t
)
The particle executes SHM in a frame S moving along the positive z-axis with a velocity of
3
m
∕
s
The amplitude of the SHM of the particle in frame
S
is
5
2
m
.
The line of the SHM of the particle is parallel to the vector
(
4
5
∧
i
−
3
5
∧
j
)
.
Validate
Solution:
In a frame moving with a velocity of
3
m
∕
s
along the z-axis, the displacement of the particle from the equilibrium position is given by
∆
→
r
=
(
2
∧
i
−
3
2
∧
j
)
cos
2
ω
t
© examsnet.com
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