Question

С помощью веревки направленной под углом 45 к горизонту и перекинутой через укреплённый вверху неподвижный блок,человек массой 60 кг держит груз массой 30 кг.С какой силой человек давит на пол?

Answer 1

Решение смотри на фотографии

Answer 2

Calculation of the Force Exerted by the Person

To calculate the force exerted by the person on the floor, we need to consider the forces acting on the system. In this case, the person is holding a weight with a mass of 30 kg while being suspended by a rope directed at an angle of 45 degrees to the horizontal and passing through a fixed block.

Let's break down the forces acting on the system:

1. Weight of the person: The person has a mass of 60 kg, and the force due to gravity acting on them is given by the equation F = m * g, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s^2). Therefore, the weight of the person is 60 kg * 9.8 m/s^2 = 588 N.

2. Weight of the weight: The weight has a mass of 30 kg, and the force due to gravity acting on it is 30 kg * 9.8 m/s^2 = 294 N.

3. Tension in the rope: The tension in the rope is the force that the person exerts on the weight to keep it suspended. This tension is equal to the weight of the weight, which is 294 N.

4. Vertical component of the tension: The tension in the rope can be resolved into vertical and horizontal components. The vertical component of the tension counteracts the weight of the person, helping to keep them suspended. Since the rope is at an angle of 45 degrees to the horizontal, the vertical component of the tension is T * sin(45), where T is the tension in the rope. Therefore, the vertical component of the tension is 294 N * sin(45) = 294 N * 0.7071 ≈ 207.1 N.

5. Force exerted by the person on the floor: The force exerted by the person on the floor is equal to the vertical component of the tension plus the weight of the person. Therefore, the force exerted by the person on the floor is 207.1 N + 588 N = 795.1 N.

So, the person exerts a force of approximately 795.1 N on the floor.

Please note that the calculations provided are based on the given information and assumptions.