Secure bttp H Problem 7 27-Enhanced-with Feedback previous 15 of 23 t Problem 7.

Question

Secure bttp H Problem 7 27-Enhanced-with Feedback previous 15 of 23 t Problem 7.27-Enhanced-with Feedback Part A A 150 m long barbell has a 210 kg weight on ts let end and a 320 weight on its ngit end t you ignore the weight of the bar iset, how tar rom the left Epress your answer to tree suneart ngures and inchide the end of the barbel is the center of graviy? opnate units. You may want to review (DS 204 20 d- Value Units My Answers Give Up Part B Where is the center of gravity if the 9 00 kg mass of the barbeltl eselt is taken into account Express your answer to three significant figures and include the appropriate units dalue Units

Explanation / Answer

given, length of barbell l = 1. 5m
mass on left end , m = 21 kg
mass on right end, M = 32 kg

a. ignoring weight of the barbell, let the distance of center of mass from the left end be x
   then from definiton of center of mass
   mx = M(L - x)
   21*x = 32(1.5 - x)
   x = 0.905 m

b. if mass of barbell = 9kg
   then let the com be at coordinate x where origin is at the left mass
   then
   x = (m*0 + M*L + 9kg*L/2)/(m + M + 9)
   x = (32*1.5 + 9*0.75)/(21+32+9)
   x = 0.883 m from the left mass

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