Question

Какова длина рычага в равновесии если на его концах действуют силы 40H и 240 H а расстояние от точки опоры до меньшей силы равно 6 см

Answer 1

Возможно 42 см, но не уверена

Answer 2

Calculation of the Lever Arm Length in Equilibrium

To calculate the length of the lever arm in equilibrium when forces of 40H and 240H are acting at its ends, and the distance from the pivot point to the smaller force is 6 cm, we can use the principle of moments.

The principle of moments states that for an object in equilibrium, the sum of the anticlockwise moments about any point is equal to the sum of the clockwise moments about the same point.

We can use the formula:

Force1 × Distance1 = Force2 × Distance2

Where: - Force1 and Distance1 are the force and distance from the pivot point to the point where Force1 is applied. - Force2 and Distance2 are the force and distance from the pivot point to the point where Force2 is applied.

Calculation

Given: - Force1 = 40H - Force2 = 240H - Distance from the pivot point to the smaller force = 6 cm

Let's denote the length of the lever arm as L.

Using the principle of moments, we can set up the equation:

40H × L = 240H × (L - 6)

Solving for L:

40L = 240L - 1440

40L - 240L = -1440

-200L = -1440

L = -1440 / -200

L = 7.2

So, the length of the lever arm in equilibrium is 7.2 cm.