Question

Question 5 A pan balance is made up of a rigid, massless rod with a hanging pan attached at each end. The rod is supported at and free to rotate about a point not at its center. It is balanced by unequal masses placed in the two pans. When an unknown mass m is placed in the left pan, it is balanced by a mass of 2.10 kg placed in the right pan; when the mass m is placed in the right pan, it is balanced by a mass of 5.30 kg in the left pan. Find m. Number Units

Answer 1

X O M2 Imig m2 g > O: fixed ya ed point about which rod is free to rotate. Porque is defined as, - H2 Č= řx ři position vector of force from the point where Å force is acting. where, case 1: m, am At m2 = 2.10 kg equilibrium == 0 e, a Ez=0 (-²) x mig miglŷ + XzCô Dxm2 g Eŷ = [misen m2 22 (² ] g = 0 0 I, Zt ㅋ mia, = m2 1 2 201 = 2.10 12 x 2.10 11 С 2 m Case 2 Ma Em mi = 5.30 Kg similar calculation given, m, x, = M₂ X 2 2 mxa 5:30 X1 2 m 5-36 x2 from eqr and - 2:10 m S: 30 2 รขา 11.13 ma 2.10 x 5.30 =) m = 3.34 Kg

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