The mass of the meter stick is 89.665 g.
A meter stick is a length measurement tool used to measure lengths in meters or centimeters.
Let m be the mass of the meter stick.
50 g mass is placed on 90 cm mark is balance at 64.32 cm mark. Take moments about the 64.32 cm mark.
Anticlockwise torque = clock wise torque
m x (64.32 - 50) = 50 x (90 - 64.32)
m x 14.32 = 50 x 25.68
m = 89.665 g
Thus, the mass of the meter stick is 89.665 g.
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