[" n in figure consists of "],[" olid cy...

[" n in figure consists of "],[" olid cylinders each of "],[" ht threads are wound "],[" e threads of each "],[" 4) "(2)/(5)MR^(2)omega_(0)^(2)[1+((omega)/(omega_(0)))^(2)+(5)/(2)((D omega)/(R omega_(0)))^(2)]],[" 58.A solid cylinder of malination "30^(@)." The force of "],[" friction between the cylinder and the surface "],[" friction between the cylinder and the surface "],[" of the incinclined plane is "],[" 1) "49N" 2) "24.5N" ( "3)4973N" 4) "12.25N" .positive "],[" of point "]

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The value of (1+2(omega)+(omega)^2)^(3n)-(1+omega+2(omega)^2)^(3n) =

(1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+omega^(3n))

((1-omega+(omega)^2)(1-(omega)^2+(omega)^4)(1-(omega)^4+(omega)^8)….... to 2n) factors is

The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

(1+omega)(1+omega^(2))(1+omega^4)(1+omega^(5))..........2n factors =

The value of (1+omega^(2)+2 omega)^(3n)-(1+omega+2 omega^(2))^(3n) is

If omega is an imaginary cube root of unity then the value of (2-omega),(2-omega^(2))+2(2-omega)(3-omega^(2))+....+(n-1)(n-omega)(n-omega^(2)) is

(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….. to 2n factors

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =