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Learn about the forces acting on objects on inclined planes, including free-body diagrams, weight distribution, and frictional forces. Understand how mass and incline impact the force needed to move objects.
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A cart slides down a frictionless ramp as shown below.Which of the free-body diagrams below best represents the forces on the cart?
The steeper the incline the more force is needed to push the • object up it • The more massive the object the more force necessary to push it • up the incline
The steeper the incline the more of the skiers weight pushes down the incline *W sin = mg sin increases
FN w Normal Force = force perpendicular to surface When surface is horizontal the normal force equals the weight. FN = w cos q When surface is inclined the perpendicular direction is NOT vertical so the normal force is only a component of the object’s weight.
// FN f w cos w link w sin
FN f w cos w w sin *W sin pushes it down the incline*
Summary: • Part of the weight ( mg sin) pushes the object down the incline. • Part of the weight (mg cos) balances out the normal force. • The frictional force acts opposite the motion • To push something up an incline the minimum force necessary • is mg cos
If the mass of the block is 10 kg, and the coefficient of kinetic friction is .2, find the acceleration of the block down the incline.