a barbellbell is loaded with two 20 kg plates on its right side and two 20kg pla

Question

a barbellbell is loaded with two 20 kg plates on its right side and two 20kg plates on its left side. The barbell is 2.2m long, and its unloaded mass is 20kg. The two 20kg plates on the right side are locked in place at 35cm and 40cm from the right end of the bar. The two 20kg plates on the left side have slipped one iss 30 cm from the left end of the bar and the other is 20 cm from the left end of th bar. where is the center of gravity of this barbell with the four plates. need step by step to show work. thanks

Explanation / Answer

taking left end as origin, 20*0.30 + 20*0.20 + 20*1.1 + 20*(2.2-0.35) + 20*(2.2-0.40) = (20+20+20+20+20)*x x = 1.05 m from left end thus centre of gravity is 1.05 m from left end or 1.15 m from right end

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