Transcription of Problem Set V- Assign October 2, 2006 Due …
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Problem Set V- Assign October 2, 2006 Due …
Problem Set V- Assign October 2, 2006 Due October 2006 Physics 200aR. ShankarMany problems ask for answers in terms of symbols and not numbers. You may need toinvoke things likegin the answer even if I did not explicitly define Consider massesm1,m2,m3atx1,x2,x3. FindX, the CM coordinate by findingX12,the CM of mass of 1 and 2, and combining it withm3. Show this is gives the sameresult asX= 3i=1mixi 3i=1mi2. Consider a square of mass 4 kg, side 2m, negligible thickness, with its sides orientedalong the usual axes with its center at (0,0). (i) Determine its CM using symmetryarguments. (ii) Imagine that the 1m 1m part of it in the fourth quadrant ischopped off. Where is the new CM? Do this using the extension of result in previousproblem. Repeat using the following trick: view the chopped off shape as the fullsquare plus a 1m 1m square ofnegativemass 1kg in the fourth quadrant. (iii)A disk of radiusRcentered at the origin has a circular hole of radiusR/2 centeredat (x= R/2,y= 0). Where is its CM?
Problem Set V- Assign October 2, 2006 Due October 9. Fall 2006 Physics 200a R. Shankar Many problems ask for answers in terms of symbols and not numbers.
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