Magnitude of force. solving for x

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The discussion revolves around solving for the variable x in a force-related equation. Participants suggest multiplying out x, collecting like terms, and then dividing to isolate x. An example equation presented is 1.723x = 0.1 + x, which leads to rearranging terms to solve for x. The conversation emphasizes the importance of manipulating the equation correctly to find the solution. Overall, the focus is on algebraic methods for solving equations involving force.
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Are you trying to solve for x?
 
Kurdt said:
Are you trying to solve for x?


1234 yes
 
Multiply out the x, collect like terms, and divide.
 
Snazzy said:
Multiply out the x, collect like terms, and divide.

1.723x=.1+x
1.723x-x =.1
x-x=.1/1.723
0=...
 
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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