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Byju's Answer
Standard XII
Physics
Torque about a Point
Minimum value...
Question
Minimum value of
F
for which the cube begins to tip about an edge is equal to
2
m
g
M
. Then,
M
is -
A
2
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B
4
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C
5
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D
3
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Solution
The correct option is
D
3
In the critical condition when the block is just about to topple, the normal will shift to rightmost edge as shown in figure.
Cube will have tendency to topple about
O
.
Torque of external forces acting on cube about point
O
,
τ
f
=
0
,
τ
F
=
F
×
3
a
4
,
τ
N
=
0
,
τ
m
g
=
m
g
×
a
2
Block will topple if
τ
clockwise
>
τ
anticlockwise
or
F
×
3
a
4
>
m
g
×
a
2
∴
F
>
2
m
g
3
Minimum value of
F
is
2
m
g
3
to topple the cube, hence
M
=
3
.
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