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Consider a large bound book. a) If it is placed on the table, locate its centre of mass. b) If it is made to stand vertically on the table will the centre of mass remain same ? c) If it is placed on the table and opened such that half the number of pages are on one side and half on the other, where will the centre of mass be now approximately ? If 3/4 of the pages are on one side, to which side the centre of mass will shift ?

Answer» <html><body><p></p>Solution :(a) Cenre of mass of book is at its geometric centre. <br/> (b) Yes. When the book is made to <a href="https://interviewquestions.tuteehub.com/tag/stand-1223993" style="font-weight:bold;" target="_blank" title="Click to know more about STAND">STAND</a> <a href="https://interviewquestions.tuteehub.com/tag/vertically-3260386" style="font-weight:bold;" target="_blank" title="Click to know more about VERTICALLY">VERTICALLY</a> on the table, then there is no change in position of centre of mass because the centre of mass is independent of co-ordinate system. <br/> (<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>)When the book is <a href="https://interviewquestions.tuteehub.com/tag/opened-2895201" style="font-weight:bold;" target="_blank" title="Click to know more about OPENED">OPENED</a> with half the number of pages to one side and the other half on the other side, then the centre of mass is at a <a href="https://interviewquestions.tuteehub.com/tag/height-1017806" style="font-weight:bold;" target="_blank" title="Click to know more about HEIGHT">HEIGHT</a> of `h/4` from the ground level, when h = width (or height) of the book. <br/> (d) If `3/4` of pages are at one side and `1/4` of pages at the other side, then centre of mass will shift towards `3/4`pages part.</body></html>


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