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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 1.3CYU: Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of 107m...

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