Un bloque de 750 kg es empujado hacia arriba por una pista inclinada 15º respecto de la horizontal. El coeficiente de rozamiento es 0.4. Determinar la fuerza necesaria para iniciar la subida del bloque por la pista.

Respuesta :

Answer:

4776.98 N is the minimum force to start the rise.  

Explanation:

We can use the first Newton's law to find the minimum force to move the block.

So we will have:

[tex]F-W_{x}-F_{f}=0[/tex]

Where:

  • F is the force
  • W(x) is the weight of the block in the x direction, W = mg*sin(15)
  • F(f) is the static friction force (F(f) = μN), μ is the static friction coefficient 0.4.

[tex]F=W_{x}+F_{f}=mgsin(15)+\mu N[/tex]

[tex]F=mgsin(15)+\mu mgcos(15)[/tex]

[tex]F=mg(sin(15)+\mu cos(15))[/tex]

[tex]F=750*9.81(sin(15)+0.4*cos(15))[/tex]

[tex]F=4776.98 N[/tex]

Therefore 4776.98 N is the minimum force to move the block.

I hope it helps you!