A thin uniform rod 99 cm long is balanced 33 cm from one end when an object whos

Question

A thin uniform rod 99 cm long is balanced 33 cm from one end when an object whose mass is (2m + 2.0 grams) is at the end nearest the pivot and an object of mass m is at the opposite end (Figure a). Balance is again achieved if the object whose mass is (2m + 2.0 grams) is replaced by the object of mass m and no object is placed at the other end of the rod (Figure b). Determine the mass of the rod. (Assume A = 99 cm, B = 33 cm, and C = 66 cm.) g

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i HAVE THE PICTURE. BUT CAN'T UPLAOD IT UNTO HERE

Explanation / Answer

short end: (2m + 2) * 33 + M * 11.5 = long end: m * 66 + 2M * 33, or 49.5M = 66 M= 4/3 mass of rod = 3M = 4gm See that the value of m is irrelevant. And the second condition is redundant, but m in this case specifically determined: 33m + 11.5M = 66M

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