Moving wedge, conceptual problem

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SUMMARY

The discussion centers on calculating the minimum force required to move a wedge up a slope while supporting a mass on top. The key variables involved are the mass of the wedge (M), the mass of the block (m), the angle of the slope (theta), and the coefficient of static friction (mu). The solution involves understanding the inertial forces acting on the block due to the wedge's acceleration, which creates a fictitious force opposing the applied force. Daniel clarifies that the block experiences this inertial force, which is crucial for solving the problem.

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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.
 

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