A uniform magnetic field \( \mathrm{B}=1.8 \mathrm{~T} \) points in the \( +x \) direction. A square loop with sides of length \( \mathrm{d}=20 \mathrm{~cm}, \mathrm{~N}=12 \) turns, and current \( \mathrm{I}=0.85 \mathrm{amps} \) per turn pivots without friction around a pin about the z -axis as shown in the figure below. The \( z \)-axis points out of the page in the left hand panel.
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A mass M is hung from one side of the loop ( C or D ), and the loop is in equilibrium when it makes an angle of 30degrees with respect to the \( x-z \) plane. Determine the size of the mass in kg . Enter a positive number if it is hung from C and a negative number if it is hung from \( D \).