You will be allowed three submissions for this question. Assume the ruler is exa

Question

You will be allowed three submissions for this question. Assume the ruler is exactly 1 m long, and the mass hangers have negligibbe mass.

a) Suppose the ruler in procedure 2 is asymetrical, and it is balanced at the 47.4 cm mark (at the center of mass). Now, mass M is hung on the ruler at the 100 cm mark. Where must you hang mass 1.48M so the system remains in equilibrium?
At the 1 Incorrect: Your answer is incorrect. cm mark

b) The method of procedure 2 can be used to accurately determine the mass of a light coin (as in procedure 4). Suppose the ruler is perfectly symmetrical, and it balances at the center. The coin of unknown mass is placed at the 0 cm mark, it is balanced by a mass m = 42.1 g placed at the 78 cm mark. Find the mass of the coin.
2 Incorrect: Your answer is incorrect. g

Explanation / Answer

(a) Taking moments about the center of mass: Clockwise moments = Anticlockwise moments M * ( 100 - 47.4 ) = 3 M * ( 47.4 - x )                          52.6 = 142.2 - 3 x                                x = 64.93 cm Ans: 64.93 cm (b) Taking moments about the center: Clockwise moments = Anticlockwise moments 42.1 * ( 78.0 - 50 ) = M * 50                                M = 23.57 g                           Ans: 23.57 g

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