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2. Three point particles of masses 1.0 ke 1.skand 25 kg are placed at three comers of a righeangle triangle of sides 4.0 cm 30 cm und 5.0cm as shown in the figure. The center of massof the system is at a point:Online Jan 7FN, 2020125 kg4 cm5 cm10kg 3 cm 15 kg1.0.9 cm right and 20 cm above 1 kg mass2.1.5 cm night and 1.2 cm above I kg mass3.2.0 cm right and 0.9 cm above 1 kg mass4.0.6 cm right and 2.0 cm above I kg massfront of mass of a uniform |
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Answer» Answer: From the question, we have (0,0),(3,0) and (0,4) to be the co-ordinates of MASS 1kg,1.5kg and 2.5kg (assuming 1kg at origin) X com
is given by ∑mi ∑mixi
= 1+1.5+2.5 1×0+1.5×3+2.5×0
= 5 4.5
=0.9cm Y com
is given by ∑mi ∑miyi
= 1+1.5+2.5 1×0+1.5×0+2.5×4
= 5 2.5×4
= 2 4
=2cm ∴ The centre of mass is 0.9 CM to the right and 2 cm above the mass of 1kg option (D) is CORRECT |
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