The total mass of the two weights is 25 kg. What is the mass of each load if l1 = 1 mb l2 = 2m. The lever is in balance.
| June 25, 2021 | education
Task data: m (total mass of two weights) = 25 kg; l1 (shoulder of a larger weight) = 1 m; l2 (shoulder of a smaller weight) = 2 m; the lever is in balance.
The mass of each weight can be determined using two equations: m = m1 + m2 and m1 * l1 = m2 * l2.
1) m1 = m – m2 = 25 – m2.
2) (25 – m2) * l1 = m2 * l2.
(25 – m2) * 1 = m2 * 2.
25 – m2 = 2m2.
3m2 = 25 and m2 = 25/3 = 8.33 kg.
3) m1 = 25 – 8.33 = 16.67 kg.
Answer: The mass of the first weight is 16.67 kg; the weight of the second is 8.33 kg.
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