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JEE Mains Model Paper 14
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© examsnet.com
Question : 14
Total: 90
A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to the other end of the park. If the mass of the plank is M/3, the distance that the man moves relative to the ground is
3
L
4
4
L
5
L
4
L
3
Validate
Solution:
Let the distance moved by plank be x.
Now, there is no external force so COM
Will not move
Δ
x
CM
=
m
1
Δ
n
1
+
m
2
Δ
n
2
m
1
+
m
2
0 =
M
(
L
−
x
)
+
M
3
(
−
x
)
4
M
3
⇒ ML - Mx =
M
x
3
⇒ ML = Mx
44
3
x =
3
L
4
So, distance moved by person wrt.
L
4
© examsnet.com
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