Question

Плечі важеля дорівнюють 25 см і 40 см. Менша із двох вертикальних сил, що діють на важіль, дорівнює 40Н. Чому дорівнює друга сила, якщо важіль перебуває в рівновазі? 3. До кінців важеля прикладені вертикальні сили 25Н і 15Н. Довге плече важеля дорівнює 15см. Яка довжина короткого плеча? Важіль перебуває в рівновазі.

Answer 1

Відповідь:

1. 64 Н; 2. 9 см

Пояснення:

Answer 2

Factual Answer:

1. To find the second force acting on the lever when it is in equilibrium, we can use the principle of moments. The principle of moments states that the sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point.

In this case, since the lever is in equilibrium, the sum of the clockwise moments must be equal to the sum of the anticlockwise moments.

Let's assume the shorter arm of the lever is x cm and the longer arm is 40 cm. The force acting on the shorter arm is 40 N, and we need to find the force acting on the longer arm.

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

40 N * x cm = F * 40 cm

Solving for F, we get:

F = (40 N * x cm) / 40 cm

Since the lever is in equilibrium, the force acting on the longer arm must be equal to 40 N. Therefore, we can set up the equation:

40 N = (40 N * x cm) / 40 cm

Solving for x, we get:

x = 40 cm

Therefore, the length of the shorter arm is 40 cm.

2. In the second scenario, the lever is in equilibrium, and there are two vertical forces acting on it: 25 N and 15 N. The longer arm of the lever is 15 cm. We need to find the length of the shorter arm.

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

25 N * x cm = 15 N * 15 cm

Solving for x, we get:

x = (15 N * 15 cm) / 25 N

Simplifying, we get:

x = 9 cm

Therefore, the length of the shorter arm is 9 cm.

Relevant Search Results:

1. "Principle of moments": The principle of moments states that the sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point. [[1]]