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3) An infinite cylinder has radius a and is inite cylinder has radius a and is centered on the z axis. Along the length of th

Please solve using Gauss's Law of gravitation and explain it step by step

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Solution

By - Gauss law of Goavitation. Ě SA - - 4KG Mins

AA - 2h Mine Density of larger cylinder & Volume & Density of smaller cylinder Volume ¿Y (Tan- (4m) + You* *( 27th: -41 G * (

Now,

From the diagram given we can see the gravitation field is always perpendicular to z axis

which means the gravitational field lies in the xy plane only

so z compnent can be taken as null or z=0

r=ri+y

f = ri+yi r2 + y2

171 = V x2 + y2

Therefore electric field

(VortY2B) (i + yj E = - Ga? (3Y3B + Y2B) 2 (22 + y2)

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