Solving Sliding Object Down Ramp: Horizontal Forces Only?

AI Thread Summary
When calculating the net force (Fnet) on an object sliding down a ramp, only horizontal forces should be considered for determining acceleration. This is because the motion of the object is primarily influenced by forces acting parallel to the ramp's surface. Positive forces include those acting downward along the ramp, while negative forces encompass friction and any upward forces opposing motion. Properly summing these forces is crucial for accurate acceleration calculations. Understanding the distinction between horizontal and vertical forces is essential for solving problems involving inclined planes.
ItsNoah
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I went to ask my teacher for extra help and we were doing a problem about an object sliding down a ramp. When I calculated the Fnet I added all the forces together acting on the box but she said that you only take into account the horizontal forces. Any clarification would be much appreciated!
 
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The reason I ask this is because I thought when adding Fnet up you add up all the forces. ALSO: i was trying to calculate acceleration so is this why you only add up the horizontal forces?
 
If the box is sliding down the ramp, then the positive forces would be the ones that are making it move, meaning the ones acting downward. The negative forces would be the ones acting opposite of motion, like friction. so when you sum the forces, make sure you have friction and any force applied upward as negatives, and then the force of the plane and any forces applied downward as positives.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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