A uniform plate has its boundary consisting of two concentric half circles of inner and outer ra dii a = 1m and b=2m, respectively, as shown in the figure above. Using polar coor dinates (r,e) an element of the area of the plate (shaded) is dA =r dr de and its mass is or dr de where o is the surface mass density of the plate in Kg/m2. Let M be the mas of the plate and G be the universal gravitational constant. The magnitude of the force of attraction of the plate on a unit mass located at the centre O is given by

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Chapter1: Units, Trigonometry. And Vectors
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A uniform plate has its boundary consisting of two concentric half circles of inner
and outer ra dii a = 1m and b=2m, respectively, as shown in the figure above. Using polar coordinates
(r,e) an element of the area of the plate (shaded) is dA =r dr de and its mass is or dr de
where o is the surface mass density of the plate in Kg/ m2. Let M be the mas of the plate and G be
the universal gravitational constant. The magnitude of the force of attraction of the plate
on a unit mass located at the centre O is given by
O None from these answers
O 4GM
O 5GM In3)
4GM
In(2)
3TT
O 5GM
-In(3)
3TT
Transcribed Image Text:A uniform plate has its boundary consisting of two concentric half circles of inner and outer ra dii a = 1m and b=2m, respectively, as shown in the figure above. Using polar coordinates (r,e) an element of the area of the plate (shaded) is dA =r dr de and its mass is or dr de where o is the surface mass density of the plate in Kg/ m2. Let M be the mas of the plate and G be the universal gravitational constant. The magnitude of the force of attraction of the plate on a unit mass located at the centre O is given by O None from these answers O 4GM O 5GM In3) 4GM In(2) 3TT O 5GM -In(3) 3TT
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