Carrom is a very popular indoor game among the children.It
is either played singles or doubles. In a
singles carom match, the positions of various coins in a 60
X 60 board at a particular instant are as
given below:
Coin 1 : Red : (4,8)
Coin 2 : White : (20,30)
Coin 3 : Black : (17.5, 33)
Coin 4 : Black : (2,10)
Given Conditions are :
·
Coefficient of restitution is 0.8 for all the
collisions.
·
Coefficient of friction between all the surfaces
in contact is 0.2.
·
The coin will reflect back if the speed of the
coin just before the pocket is >0.5 m/s.
·
There will be a foul, if the black coins are
struck directly, or the striker &
black coin sunk into the pocket in any case.
·
In order to have the queen cover, the red coin
(queen) has to sunk followed by the white coin.
·
The masses of all the coins and striker are
same.
·
The striker is to be placed on the line y = 50.
Question:
In which directions and with what velocities one should take
the subsequent shots to get the queen
covered for the yellow coin side in minimum time?
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