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 <title>iMechanica - Finding center of mass of sphere with a spherical cavity removed. - Comments</title>
 <link>http://imechanica.org/node/877</link>
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 <title>Finding center of mass of sphere with a spherical cavity removed.</title>
 <link>http://imechanica.org/node/877</link>
 <description>&lt;p&gt;Hi there,&lt;/p&gt;
&lt;p&gt;  I would be very grateful to anybody who can solve the following question for me (and show their working as to how they solved the problem):&lt;/p&gt;
&lt;p&gt; A spherical cavity of radius &lt;em&gt;r&lt;/em&gt; is made inside a uniform solid sphere of radius &lt;em&gt;R, &lt;/em&gt;in such a way that the two spherical surfaces touch at the point P. If G is the centre of mass of the remaining material,&lt;/p&gt;
&lt;p&gt; find(i) the distance PG, &lt;/p&gt;
&lt;p&gt;and (ii) the radius of gyration of the remaining material about a common tangent at P to the spherical surfaces.&lt;/p&gt;
&lt;br class=&quot;clear&quot; /&gt;</description>
 <comments>http://imechanica.org/node/877#comments</comments>
 <category domain="http://imechanica.org/taxonomy/term/109">Ask iMechanica</category>
 <pubDate>Mon, 19 Feb 2007 14:26:27 -0500</pubDate>
 <dc:creator>jngf</dc:creator>
 <guid isPermaLink="false">877 at http://imechanica.org</guid>
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