Question

L1=10 см, l2=30 см, m2=10кг. Найти m​

Answer 1

Дано:                              СИ                                 Решение

l1 = 10см                      | 0.1м |                       m1/m2 = l2/l1

l2 = 30см                    | 0.3м |                      m1 = m2 * l2/l1

m2 = 10кг                                                     m1 = 10кг * 0.3м / 0.1м = 30кг

----------------                                                  Ответ: m1 = 30кг

m1 - ?

Answer 2

To find the value of m, we need to use the principle of moments, which states that the moments on both sides of a lever must be balanced for equilibrium. The moment of an object is calculated by multiplying its mass by its distance from the pivot point.

In this case, the lever is balanced, so the moments on both sides are equal:

Moment of L1 = Moment of m2

The moment of L1 is given by: Moment of L1 = L1 * m1

The moment of m2 is given by: Moment of m2 = l2 * m2

Since the lever is balanced, we can set the two moments equal to each other and solve for m1:

L1 * m1 = l2 * m2

Substitute the given values:

10 cm * m1 = 30 cm * 10 kg

Now, let's convert the lengths to meters for consistent units:

10 cm = 0.1 m 30 cm = 0.3 m

0.1 m * m1 = 0.3 m * 10 kg

Now, isolate m1:

m1 = (0.3 m * 10 kg) / 0.1 m

m1 = 3 kg

So, the value of m1 (m) is 3 kg.