Question

Через блок с неподвижной осью перекинута нить, к концам которой прикреплены грузы массами 2 кг и 8 кг. Найдите силу натяжения нити. g = 10 м/с2.

Answer 1

Дано m1=2 кг   m2=8 кг    T- ?

1) Найдем ускорение грузов

m2*g-m1*g=a*(m1+m2)
a=g*(m2-m1)/(m1+m2)=10*6/10=6 м/с2

T1=T2=T=m1*(g+a)=2*16=32 Н

Answer 2

Calculation of Tension in the String

To find the tension in the string, we can use Newton's second law, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force acting on the masses is the tension in the string.

Let's denote the tension in the string as T.

The gravitational force acting on each mass can be calculated using the formula:

F = m * g

Where: - F is the gravitational force - m is the mass of the object - g is the acceleration due to gravity (given as 10 m/s^2)

For the 2 kg mass, the gravitational force is:

F1 = 2 kg * 10 m/s^2 = 20 N

For the 8 kg mass, the gravitational force is:

F2 = 8 kg * 10 m/s^2 = 80 N

Since the string is in equilibrium, the tension in the string is equal to the sum of the gravitational forces acting on the masses:

T = F1 + F2 = 20 N + 80 N = 100 N

Therefore, the tension in the string is 100 N.