Question

Пружина скрепляет два тела с массами m и М. Когда система подвешена за верхний груз, длина пружины равна L1, если же, не меняя положения тел, систему поставить на подставку, длина пружины станет равна L2. Определить длину свободной пружины

Answer 1

Пусть m - верхний груз тогда 
M**g=k*x=k*(L1-Lo)
если подвести подставку под нижний груз то вехний груз сожмет пружину
m*g=k*x2=k*(Lo-L2)
поделим уравнения
M/m=L1-Lo)/(Lo-L2)
M*L0-M*L2=m*L1-m*Lo
Lo*(M+m)=M*L2+m*L1
Lo=(M*L2+m*L1)/(m+M) -это ответ

Answer 2

Calculation of the Length of the Free Spring

To determine the length of the free spring, we need to consider the system when it is suspended from the upper load and when it is placed on a support without changing the position of the bodies.

Let's denote the length of the spring when the system is suspended from the upper load as L1, and the length of the spring when the system is placed on a support as L2.

To find the length of the free spring, we can use the following equation:

L1 + L2 = Length of the Free Spring

However, to provide a more accurate answer, we need additional information such as the masses of the bodies (m and M) and the values of L1 and L2. Please provide these values, and I will be able to calculate the length of the free spring for you.