A non-uniform girder MN MN\,MN has length 150 cm and mass 18 kg. A worker places a toolkit of mass 12 kg on the girder at LLL, where ML=30ML = 30ML=30 cm. The girder is held in horizontal equilibrium by two vertical supports at M M\,M and N N\,N providing tensions TM T_M\,TM and TNT_NTN.
Given that the tension TN T_N\,TN is 12 N greater than the tension TMT_MTM.
Find the distance, to the nearest cm, of the girder's centre of mass from MMM.
