**Unformatted text preview: **11.46: a) Denote the weight per unit length as , so w1 = (10.0 cm), w2 = (8.0 cm), and w3 = l . The center of gravity is a distance xcm to the right of point O where xcm = w1 (5.0 cm) + w2 (9.5 cm) + w3 (10.0 cm - l 2) w1 + w2 + w3 = (10.0 cm)(5.0 cm) + (8.0 cm)(9.5 cm) + l (10.0 cm - l 2) . (10.0 cm) + (8.0 cm) + l Setting xcm = 0 gives a quadratic in l , which has as its positive root l = 28.8 cm. b) Changing the material from steel to copper would have no effect on the length l since the weight of each piece would change by the same amount. ...

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