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3/5/2017 12:55 AM 779/ 100 e, Print ] Calculator | Periodic Table PrintCalculator Periodic Table Question 10 of 16( Sapling Learning To better understand the concept of static equilibrium a laboratory dure asks the student to make a calculation before performing the experiment. The apparatus consists of a round level table in the center of which is a massless ring. There are three strings tied to different spots on the ring. Each string passes parallel over the table and is individually strung over a frictionless pulley (there are three pulleys) where a mass is hung. The table is degree marked to indicate the position or angle of each string. There is a mass m = 145 g located at el-22.6" and a second mass m2 = 219 g located at 02-279", Calculate the mass m, and location (in degrees), which will balance the system and the ring will remain stationary. Number m3 Number e- Prevou Hint

Explanation / Answer

F1 = m1*g*(cos22.5 i + sin22.5j) =

F2= m2*g*(cos279 i + sin279 j)

F3 = m3*g*(costhetai + sintheta j )

F1 + F2 + F3 = 0

F3 = - ( m1*(cos22.5 i + sin22.5j) + m2*(cos279 i + sin279 j) )

F3 = - ( 0.145*9.8*(cos22.5 i + sin22.5j) + 0.219*9.8*(cos279 i + sin279 j) )

F3 = -(0.145**cos22.5 + 0.219*cos279)*9.8i - (0.145*sin22.5 + 0.219*sin279)*9.8j

F3 = -1.65i + 1.57 j

magnitde of F3 = sqrt(1.65^2+1.57^2) = 2.27 N

magnitde of F3 = m3*g

m3*9.8 = 2.27

m3 = 231.6 g <<<<------answer

theta3 = tan^-1(-1.57/1.65) =136.4 degrees

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