Calculate Weight Component on Inclined Plane

In summary, the magnitude of the component of weight acting parallel to the incline can be calculated using the formula W*sinθ. In this case, the answer is 0.5W.
  • #1
SLStudent
5
0

Homework Statement


the weight of a box on a plane inclined at 30 def is represented by the vector W. What is the magnitude of the component of the weight that acts parallel to the incline.
Answer is given in terms of W
possible anwsers .5W 1.5W .87W and W


Homework Equations





The Attempt at a Solution


M x g x sin(30)= 4.9
??
not sure what formula is needed to be used here
 
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  • #2
W = mg. So
W*sinθ = ?
 
  • #3
You don't know M, but you do know that W = M*g
so you have W*sin(30) = 0.5*W
 
  • #4
wow i made it so much harder than what it needed to be thanks
 

What is an inclined plane?

An inclined plane is a simple machine that consists of a flat surface that is inclined at an angle. It is used to reduce the effort needed to move an object from a lower to a higher elevation.

How do you calculate weight component on an inclined plane?

The weight component on an inclined plane can be calculated using trigonometry. The formula is Wsinθ, where W is the weight of the object and θ is the angle of inclination.

What factors affect the weight component on an inclined plane?

The weight component on an inclined plane is affected by the weight of the object, the angle of inclination, and the force of gravity.

What is the relationship between the angle of inclination and the weight component?

The weight component is directly proportional to the angle of inclination. As the angle increases, the weight component also increases.

How does friction affect the weight component on an inclined plane?

Friction can reduce the weight component on an inclined plane. This is because friction acts against the motion of the object and reduces the force needed to move the object up the plane.

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