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Please help with the following questions: Block #1 with 100 kg mass is at coordi

ID: 1726280 • Letter: P

Question

Please help with the following questions:
Block #1 with 100 kg mass is at coordinates (2, 4) and block#2 with 200 kg mass is at (6, 1).
a) Find the coordinates of the center of mass. Center isat (_____, _____)
b) What is the mass value at this center? Mass at thecenter = _______



Block #1 with 100 kg mass is at coordinates (2, 4) and block#2 with 200 kg mass is at (6, 1).
a) Find the coordinates of the center of mass. Center isat (_____, _____)
b) What is the mass value at this center? Mass at thecenter = _______


Explanation / Answer

      Given that the mas of each body ism1 = 100 kg and m2 = 200 kg       Coordinates of mass m1 are (x1,y1) =(2, 4 )                             mass m2 are (x2,y2) = (6, 1 )    -------------------------------------------------------------------------------------- The x-coordinate of the center of mass is Xcm = ( m1*x1 +m2*x2 ) / ( m1 + m2)                                                                        = 4.66   The y-coordinate of the center of mass is Ycm = ( m1*y1 +m2*y2 ) / ( m1 + m2)                                                                        = 2 Then the center of mass is at ( 4.66 , 2 ) The mass value at the center of mass is 200kg + 100 kg =300 kg