the concept of static equilibriuma ure asks the student to make a calculation To

Question

the concept of static equilibriuma ure asks the student to make a calculation To better u laboratory before performing the experiment. The round level table in the center of which is a massless ring. Tere are three strings s consists of a ied 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 mh-o. 161 kg located at 1-26.5" and a second mass m2 0.215 kg located at 92 #291" Calculate the mass ms, and location (in degrees), 3 which will balance the system and the ring will remain stationary kg Number Hirst Q Previous e Check Answer O NextSx

Explanation / Answer

F1 = m1*g = 0.161kg*9.81m/s^2 = 1.58N @ 26.5 deg = 1.41i + 0.705j
F2 = m2*g = 0.215kg*9.81m/s^2 = 2.11N @ 291 deg = 0.756i - 1.97j

Resultant F1+F2 = 2.166i -1.265j = 2.51N @ -30.3 degrees

So m3 must produce an opposing force of 2.51N at -30.3+180 deg = 149.7 deg

m3 = 2.51N / 9.81m/s^2 = 0.256 kg at 149.7 degrees

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