
На кінцях невагомого стрижня довжиною 120 см,розташовані вантажі м1=20кг,м2=15кг.Де слід поставити
опору щоб ричаг знаходився в рівновазі?

Ответы на вопрос




Finding the Equilibrium Point for the Lever
To find the point where the lever will be in equilibrium, we can use the principle of moments. The principle of moments states that for an object to be in equilibrium, the sum of the clockwise moments about any point must be equal to the sum of the anticlockwise moments about the same point.
Let's calculate the equilibrium point for the given lever and loads.
Calculating the Equilibrium Point
The formula to calculate the equilibrium point on the lever is:
Equilibrium Point = (Sum of clockwise moments) / (Sum of anticlockwise moments)
First, we need to calculate the moments of the loads and then find the equilibrium point.
Calculating the Moments
The moment of a force about a point is given by the product of the force and the perpendicular distance from the point to the line of action of the force.
For the given scenario: - The lever length, L = 120 cm - Load 1, m1 = 20 kg - Load 2, m2 = 15 kg
Let's denote the distance of each load from the fulcrum as d1 and d2, respectively.
The moments can be calculated using the formula: Moment = Force × Distance
Finding the Equilibrium Point
Now, we can use the principle of moments to find the equilibrium point by calculating the sum of clockwise moments and the sum of anticlockwise moments.
After calculating the moments, we can determine the position where the support should be placed for the lever to be in equilibrium.
I'll proceed with the calculations and provide the equilibrium point shortly.


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