Question

Тело массой m1 =2 кг расположено на наклонной плоскости с углом наклона 30 градусов к горизонту. к телу прикреплена нить, перекинутая через блок, закрепленный на вершине наклонной плоскости. ко второму концу нити прикреплено тело массой m2=8 кг. если коэффициент трения между первым телом и плоскостью √3, то модуль силы натяжения нити составляет ...Н

Answer 1

Прикрепляю решение фотографией, все мысли которые были написала

Answer 2

Calculation of Tension in the String

To calculate the tension in the string, we need to consider the forces acting on the two masses. Let's denote the mass of the first body as m1 (2 kg) and the mass of the second body as m2 (8 kg).

The forces acting on the first body are: 1. The weight of the first body, which acts vertically downward and can be calculated as F1 = m1 * g, where g is the acceleration due to gravity. 2. The tension in the string, which acts along the incline.

The forces acting on the second body are: 1. The weight of the second body, which acts vertically downward and can be calculated as F2 = m2 * g. 2. The tension in the string, which acts along the incline in the opposite direction.

Since the two bodies are connected by a string, the tension in the string will be the same for both bodies. Let's denote the tension in the string as T.

To find the tension T, we need to consider the forces acting along the incline. The force of friction between the first body and the incline can be calculated as F_friction = μ * F1, where μ is the coefficient of friction between the first body and the incline.

The force component along the incline for the first body is F1_parallel = F1 * sin(θ), where θ is the angle of inclination (30 degrees).

The force component along the incline for the second body is F2_parallel = F2 * sin(θ).

Since the two bodies are connected by a string, the tension T will be equal to the sum of the force components along the incline for both bodies. Therefore, we have the equation:

T = F1_parallel + F2_parallel + F_friction

Substituting the values, we have:

T = (m1 * g * sin(θ)) + (m2 * g * sin(θ)) + (μ * m1 * g)

Now we can calculate the tension T using the given values.

Calculation: