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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Nov 2006 21:09:30 IST
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can i please get the solution of problem no. 15 of H.C Verma, Chapter Gravitation
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24 Nov 2006 22:38:40 IST
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You are requested to write the problem briefly so that it will be easy for us,as well as for others. Little effort on your part will help other IIT aspirants to understand what is going on without refering to books. Please don't mind.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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24 Nov 2006 22:48:03 IST
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the problem 15 H.C.Verma from gravitation is A thin spherical shell having uniform density is cut in two parts by a plane and kept separated. The point A is the center of the plane section of the first partand B of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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24 Nov 2006 23:13:59 IST
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Gravitational field at any point inside a thin spherical shell is always zero. Hence, if a shell is cut by a plane it means that the centers A and B of the two cut portions of the shell which were earlier coinciding must have equal gravitational field due to the shells to which they belong thus, gravitational field at A = Gravitationl field at B further, the field due to two parts are equal and opposite so that when the two portions are combined together the resultant gravitational field at these points will again be zero.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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