# On a weightless lever, two weights weighing 2.4 kg and 6 kg are balanced. is the ratio of the arms of this lever exactly?

January 19, 2021 | education

| Given:

m1 = 2.4 kilograms – the mass of the first weight on the lever;

m2 = 6 kilograms – the mass of the second weight on the lever;

g = 10 Newton / kilogram – acceleration of gravity.

It is required to determine the ratio of the arms of a given lever.

According to the condition of the problem, the lever is in equilibrium, in addition, the mass of the lever itself is not taken into account. Then, let l1 be the distance from the equilibrium point to the first weight, and l2 – the distance from the equilibrium point to the second weight. Then we have:

F1 * l1 = F2 * l2;

m1 * g * l1 = m2 * g * l2;

m1 * l1 = m2 * l2;

m1 * l1 / l2 = m2;

l1 / l2 = m2 / m1 = 6 / 2.4 = 2.5.

Answer: the ratio of the shoulders of this lever is 2.5

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.