How can I keep the smaller block from slipping down the larger block?

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To prevent the smaller block from slipping down the larger block, it is essential to analyze the forces acting on the smaller block. The static friction between the two blocks is crucial, as it provides the necessary force to counteract gravity. The problem requires determining the minimum horizontal force needed to maintain the smaller block's position. Visualizing the scenario and identifying the forces at play will aid in formulating the appropriate equations. Understanding these dynamics is key to solving the problem effectively.
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Homework Statement


The two blocks (m = 14 kg and M = 100 kg) in Fig. 6-39 are not attached to each other. The coefficient of static friction between the blocks is μs = 0.28, but the surface beneath the larger block is frictionless. What is the minimum magnitude of the horizontal force required to keep the smaller block from slipping down the larger block?



Homework Equations



no idea

The Attempt at a Solution



Couldn't attempt anything because I don't know where to began and the horrible Haliday text doesn't help me.
 
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Can you describe the orientation of the blocks a little better. Are they on the level or on an incline? What do you mean by the smaller block slipping down the larger block?
 
its a flat surface with block M on the gound at rest and block m pushing against it, but block m isn't on the ground. the friction is between block M and m. its pushing against M on the left side. I have no idea why my teacher assigns us to do homework when his lectures never cover any examples like these problems he gives us...
 
oscarkool2 said:
its a flat surface with block M on the gound at rest and block m pushing against it, but block m isn't on the ground. the friction is between block M and m. its pushing against M on the left side. I have no idea why my teacher assigns us to do homework when his lectures never cover any examples like these problems he gives us...

Ahh, what a cool problem! Draw yourself a picture of just the small block and identify the force on it. Two questions: (1) What force keeps the block from falling? (2) What is the equation that tells you the magnitude of that force?

Answer those questions and I'll give you the next hint.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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