Dos niños sostienen una piñata cuyo peso es de 196N, formando un ángulode 140°con ambas cuerdas. Calcular la fuerza aplicada por cada niño

T = 104.2 N

Explanation:

For this exercise we must define a coordinate system, the x axis is horizontal and the y axis is vertical, let's write the equilibrium equations on each axis

X axis

         T₁ₓ-T₂ₓ = 0

         T₁ₓ = T₂ₓ                           (1)

y axis  

          + T_{2y} - W = 0

          T_{1y} + T_{21y} = W      (2)

Let's use trigonometry to find the decomposition of the stresses, they indicate that the angle between the two forces is 140º, but each force has an angle of 70º

           cos 70 = T₁ₓ / T₁

           T₁ₓ = T₁ cos 70

           sin 70 = / T₁

           T_{1y} = T₁ sin 70

for tension 2 we have a similar equation

            T₂ₓ = T₂ cos 70

             T_{2y} = T₂ sin 70

From equation 1

        T₁ cos 70 = T₂ cos 70

        T₁ = T₂

therefore the two children apply the same force

From equation 2

        T sin 70 + T sin 70 = W

        2 T sin 70 = W

        T = W / 2sin 70

        T = 196 / (2 sin 70)

        T = 104.2 N

the two children have the same strength

the area between the graph and the t axis

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.