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The +x-axis is at 80 degrees and +y=axis is at 170 degrees. The balancing mass i

ID: 1326506 • Letter: T

Question

The +x-axis is at 80 degrees and +y=axis is at 170 degrees. The balancing mass is 130 g. We want to balance the weight of this mass using components along the new x and y-axes. What is the total mass (mass plus hanger) needed along the x-axis? At what angle (measured from 0 deg) should the mass be hung?
mass= ?? g
angle = ?? deg

What is the total mass (mass plus hanger) needed along the y-axis? At what angle (measured from 0 deg) should the mass be hung?
mass= ?? g
angle = ?? deg

80 320° 0.170g N

Explanation / Answer

Total mass needed along Xaxis mx= -0.130*cos(320-180) = 0.099 kg.

direction of mass = 100 degree   

Total mass needed in Y direction = 0.130*sin140=0.08354 kg   

direction of mass=80+90=190 degree

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