Question

На ліве плече важеля, довжиною 20 см, підвісили вантаж 500 г. Вантаж якої маси необхідно підвісити на праве плече важеля, довжиною 1м, щоб важіль перебував у рівновазі. Знайти вагу кожного вантажу та силу тяжіння яка діє на кожен вантаж та на важіль. Масою важеля знехтувати.​

Answer 1

Ответ:

1000Н ......................

Answer 2

Problem Analysis

We have a lever with a length of 20 cm and a weight of 500 g hanging from the left shoulder. We need to find the weight of the load that should be hung from the right shoulder of a lever with a length of 1 m in order to keep the lever in equilibrium. We also need to find the weight of each load and the gravitational force acting on each load and the lever.

Solution

To solve this problem, we can use the principle of moments, which states that for a lever in equilibrium, the sum of the clockwise moments is equal to the sum of the anticlockwise moments.

Let's denote the weight of the load on the left shoulder as W1 and the weight of the load on the right shoulder as W2.

The moment of a force is given by the product of the force and the perpendicular distance from the point of rotation (fulcrum) to the line of action of the force.

For the lever to be in equilibrium, the sum of the clockwise moments must be equal to the sum of the anticlockwise moments.

Calculation

The clockwise moment is given by the product of the weight and the perpendicular distance from the fulcrum to the line of action of the force. The anticlockwise moment is given by the product of the weight and the perpendicular distance from the fulcrum to the line of action of the force.

Let's calculate the moments:

Clockwise moment (left shoulder): Moment1 = W1 * 20 cm

Anticlockwise moment (right shoulder): Moment2 = W2 * 1 m

Since the lever is in equilibrium, the clockwise moment is equal to the anticlockwise moment:

Moment1 = Moment2

Substituting the values and solving for W2:

W1 * 20 cm = W2 * 1 m

Converting the length to the same unit (m):

W1 * 0.2 m = W2 * 1 m

Simplifying the equation:

W1 = 5 * W2

Now, we need to find the weight of each load and the gravitational force acting on each load and the lever.

Weight of Each Load

The weight of each load can be calculated using the formula:

Weight = mass * gravitational acceleration

Since the mass is given in grams, we need to convert it to kilograms before calculating the weight.

Let's denote the mass of the load on the left shoulder as m1 and the mass