Finding Angles 1 & 2 in Fig. 4-51

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To find angles 1 and 2 in Fig. 4-51, the system must be analyzed under the condition of static equilibrium, where all forces are balanced. Diagrams were created to assist in visualizing the problem, and their accuracy was confirmed by other participants. The challenge lies in effectively combining all relevant information to solve for the angles. Since the system is at rest, the forces acting in opposite directions must be equal. Understanding these principles is crucial for determining the angles accurately.
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Find the angles '1 and '2 in Fig. 4–51 if all the weights
are at rest.

Solution: The picture is on the paint document... I also drew some diagrams to help solve the problem.. I wanted to know if the diagrams were correct? Anyways as I proceed to solve for angle 1 and 2 it is hard because I don't know how to pull all the information together...
 

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i think your diagrams are correct. Now system is at rest so all the forces acting in opposite directions are equal.
 
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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