
Дан невесомый рычаг, на одной стороне которого находятся два противовеса, вес которых равен P1=64Н
и P2=89Н. На второй стороне рычага находится противовес P3=381Н и динамометр. Какую силу PД будет показывать динамометр, если рычаг находится в равновесии?

Ответы на вопрос




Problem Analysis
We are given a lever with two counterweights, P1 and P2, on one side and a counterweight P3 and a dynamometer on the other side. The lever is in equilibrium. We need to determine the force PД that the dynamometer will show.Solution
To solve this problem, we can use the principle of moments. According to this principle, for an object to be in equilibrium, the sum of the clockwise moments must be equal to the sum of the counterclockwise moments.Let's assume that the distance between the fulcrum and the counterweights P1 and P2 is d1, and the distance between the fulcrum and the counterweight P3 and the dynamometer is d2.
The clockwise moments are given by the product of the force and the distance from the fulcrum: Clockwise moment = P1 * d1 + P2 * d1
The counterclockwise moment is given by the product of the force and the distance from the fulcrum: Counterclockwise moment = P3 * d2 + PД * d2
Since the lever is in equilibrium, the clockwise moments must be equal to the counterclockwise moments: P1 * d1 + P2 * d1 = P3 * d2 + PД * d2
We can rearrange this equation to solve for PД: PД = (P1 * d1 + P2 * d1 - P3 * d2) / d2
Now, let's substitute the given values into the equation and calculate PД.
Given: P1 = 64 N P2 = 89 N P3 = 381 N
We need to find PД.
Note: We are not given the distances d1 and d2 in the problem statement. Without this information, we cannot calculate the exact value of PД. We can only provide a general formula for calculating PД.
Answer
The force PД shown by the dynamometer can be calculated using the formula:PД = (P1 * d1 + P2 * d1 - P3 * d2) / d2
Please provide the values for the distances d1 and d2 to calculate the exact value of PД.


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