Moving wedge, conceptual problem

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    Conceptual Wedge
AI Thread Summary
To determine the minimum force required to move a wedge up a slope with a mass on it, one must analyze the forces acting on both the wedge and the block. The applied force on the wedge causes it to accelerate, creating a non-inertial reference frame for the block, which experiences an inertial force opposite to the wedge's motion. Understanding this inertial force is crucial, as it influences the block's movement despite the absence of upward components in the normal, gravitational, and frictional forces. The relationship between the wedge's acceleration and the forces acting on the block is key to solving the problem. Clarifying these concepts can help in grasping the overall dynamics involved.
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Homework Statement



For general values of m, M, theta, mu (coefficient of static fric) find the minimum force you need to apply to the wedge so that it just begins moving up the slope.

Picture

(little m represents mass on wedge, M is mass of wedge.)

http://ompldr.org/vYmxraA

Homework Equations



I know the idea is to use the forces on the small block to find its acceleration then multiply this by the mass of the wedge and the mass of the block (I do, infact have the solution, I just don't understand it) but I am having trouble understanding how the force applied to the wedge causes the block to move upward, according to the given force diagram (below) none of the forces (normal, gravity, friction) have components in the upward direction of the slope. If anyone could explain this to me I would greatly appreciate it.

http://ompldr.org/vYmxrYg

The Attempt at a Solution



See above.
 
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Hi,
As an object(in this case the wedge), moves under the influence of a force, it accelerates, making it, a non-inertial reference frame.
Therefore, in the frame of reference of the box, it[the box] will experience an inertial force("fictitious force"), in the direction opposite to the application of the force on the wedge, valued at: F' = -ma, Where a is the acceleration of the wedge.
I hope that helps,
Daniel
 
Thanks, I've been struggling with this problem for quite a while.
 
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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