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JEE Main Physics Class 11 Oscillations Part 1 Questions
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© examsnet.com
Question : 16
Total: 100
In the given figure, a mass
M
is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is
k
. The mass oscillates on a frictionless surface with time period
T
and amplitude
A
. When the mass is in equilibrium position, as shown in the figure, another mass
m
is gently fixed upon it. The new amplitude of oscillation will be :
[24feb2021shift1]
A
√
M
−
m
M
A
√
M
M
+
m
A
√
M
+
m
M
A
√
M
M
−
m
Validate
Solution:
Let the initial velocity of
M
is
V
. On putting
m
on
M
, let velocity becomes
V
'.
Momentum of system remains conserved.
∴
p
i
=
p
f
⇒
M
V
=
(
m
+
M
)
V
′
⇒
M
A
ω
=
(
m
+
M
)
A
ω
(
∵
V
=
A
ω
)
⇒
M
A
√
k
M
=
(
m
+
M
)
A
′
√
k
m
+
M
⇒
A
′
=
A
√
M
M
+
m
© examsnet.com
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