is lying on a rough
table
with the a fraction 1/n of its length
hanging down from the edge of the
table If it is just on the point of
sliding down from the table thea
the coefficient of friction between
the table and the chain is-
Answers
Answer:
Hello mate ✌️
Explanation:
Let mass of chain=M
Let the length of the hanging portion is x. Then the forces acting on the chain are
w = weight of the hanging part
=(
l
M
x)g
W = weight of the portion lying on the table
=(
l
M
g)(l−x)
w=(f
s
)
max
=μ
s
N
or (
l
M
g)x=μ
x
l
M
(l−x)g
⇒
l
x
=μ
x
[
l
l−x
] or
l
x
=μ
x
[1−
l
x
]
⇒
l
x
=mu
s
−μ
s
l
x
⇒(1+μ
s
)
l
x
=μ
s
x=
1+μ
s
μ
s
l
or x=
1+μ
μl
Let mass of chain=M
Let the length of the hanging portion is x. Then the forces acting on the chain are
w = weight of the hanging part =( l M x)g
W = weight of the portion lying on the table =(
l
M
g)(l−x)
w=(f
s
)
max
=μ
s
N
or (
l
M
g)x=μ
x
l
M
(l−x)g
⇒
l
x
=μ
x
[
l
l−x
] or
l
x
=μ
x
[1−
l
x
]
⇒
l
x
=mu
s
−μ
s
l
x
⇒(1+μ
s
)
l
x
=μ
s
x=
1+μ
s
μ
s
l
or x=
1+μ
μl