A 525-N trunk is placed on an inclined plane that forms an angle of 30.0° with the horizontal. What are the components of the weight parallel to the plane and normal to the plane?

Respuesta :

Answer:

262.5 N, 454.7 N

Explanation:

The component of the weight parallel to the inclined plane is given by:

[tex]F_{par}=mg sin \theta[/tex]

where

(mg) is the weight of the trunk

[tex]\theta[/tex] is the angle of the ramp

In this problem, [tex](mg)=525 N[/tex] while [tex]\theta=30.0^{\circ}[/tex], so t he component of the weight parallel to the inclined plane is

[tex]F_{par}=(525 N)( sin 30.0^{\circ})=262.5 N[/tex]


Instead, the component of the weight normal to the plane is given by:

[tex]F_{nor}=mg cos \theta =(525 N)(cos 30.0^{\circ})=454.7 N[/tex]