How can I apply statics principles to solve a problem with unknown forces?

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To solve the problem involving unknown forces, it's essential to accurately determine the angles at point B, as the assumption of a 90-degree angle is incorrect. The tension in the cable should be analyzed along its length, and trigonometric functions can be used to find the correct angle based on the provided dimensions. Once the angle is established, the x and y components of the forces can be calculated using relevant equations while paying attention to their directions. Properly applying these principles will lead to a clearer understanding of the static equilibrium in the problem. Understanding these concepts is crucial for effectively addressing statics problems.
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scotthands said:
i assumed that there is a 90 degree angle at point B but I'm not sure if that's correct, I'm pretty stumped with this question...i just need a few pointers.
The tension in the cable acts in a direction along its length. You can calculate the angle that it makes at B from the given dimensions using trig. It is not 90 degrees. Once you determine the angle, get the x and y components from your relevant equations, and watch the direction, left or right, up or down.
 
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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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