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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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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