Help Needed: Force Equations for Horizontal Component of Bigger Block

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The discussion revolves around calculating the horizontal force component for a larger block in a physics problem. The user is uncertain about their equation for the horizontal forces, questioning whether they have enough information to solve for the applied force (F_a). They attempted to calculate the normal force and friction but arrived at an incorrect value. Other participants suggest finding the gravitational force on the smaller object to determine the necessary friction and subsequently the normal force exerted by the larger block. The conversation emphasizes the importance of correctly identifying forces to solve the problem accurately.
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Homework Statement



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Homework Equations


I don't know if I set the equation for horizontal component of the bigger block correctly:

\huge{\Sigma F_{x_1} = F_a - (f_k + N_2) = ma}

If this is true then it seems that there is not enough given information to find F_a. Are there some other way?

The Attempt at a Solution


Find the normal force and friction, then substitute some variables, I guess? I got 6.877 N, but I know it's wrong...
 
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Somebody? Help me, please?
 
Find the force of gravity on the .4kg object. That'll give you the required upward friction. Then find the normal force that the 1.8kg object must exert on the .4kg object to get that required friction.
 
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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