1) A 500 kg sled is pulled along a horizontal surface at uniform speed by a rope that makes an angle of 30 degrees above the horizontal. Find mu if the tension in the rope is 200 N.

Respuesta :

As the velocity is constant, the result of the forces in the sled is zero. If [tex]T_x[/tex] is the horizontal component of the traction and [tex]F_{at}[/tex] is the frictional force:

[tex]F_R=0\iff T_x=F_{at}\iff T\cos30^o=\mu N\iff \\\\ T\cos30^o=\mu P\iff 200\cdot\dfrac{\sqrt3}{2}=\mu (500\cdot10)\iff 100\sqrt3=5000\mu\\\\\mu=\dfrac{100\sqrt3}{5000}\iff \mu=\dfrac{\sqrt3}{50}\Longrightarrow\boxed{\mu\approx0,035}[/tex]
Coefficient of friction ( mu) is 0.035
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