A 3kg box is pulled along the floor with a force of P=20 N at an angle of 30 degrees. If the box is moving at a constant velocity, calculate the force of friction f, the normal force N and the weight W.

A 3kg box is pulled along the floor with a force of P20 N at an angle of 30 degrees If the box is moving at a constant velocity calculate the force of friction class=

Respuesta :

If force is applied at 30 degree with the horizontal

then first we will find the components of force in two directions

[tex]F_x = 20 cos20[/tex]

[tex]F_y = 20 sin30[/tex]

now we can find normal force by balancing the forces in Y direction

[tex]F_n + Fy = mg[/tex]

[tex]F_n + 20 sin30 = 3*10[/tex]

[tex]F_n + 10 = 30[/tex]

[tex]F_n = 20 N[/tex]

now since block is moving with constant speed

so here forces along horizontal plane will be balanced also

[tex]F_x = F_f[/tex]

[tex]F_f = 20 cos30[/tex]

[tex]F_f = 17.3 N[/tex]

Now the weight of the box is defined as

[tex]W = mg[/tex]

now plug in all values

[tex]W = 3*10 = 30 N[/tex]

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