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National and Regional Contests
Poland Contests
Poland - Second Round
1956 Poland - Second Round
3
3
Part of
1956 Poland - Second Round
Problems
(1)
uniform horizontal circular plate of weight
Source: Polish MO second round 1956 p3
8/29/2024
A uniform horizontal circular plate of weight
Q
Q
Q
kG is supported at points
A
A
A
,
B
B
B
,
C
C
C
lying on the circumference of the plate, with
A
C
=
B
C
AC = BC
A
C
=
BC
and
A
C
B
=
2
α
ACB = 2\alpha
A
CB
=
2
α
. What weight
x
x
x
kG must be placed on the plate at the other end
D
D
D
of the diameter drawn from point
C
C
C
so that the pressure of the plate on the support at
C
C
C
G is equal to zero?
geometry