Simple Force problem(Picture and Graphical Data included.)

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The discussion revolves around a physics problem involving cheerleaders in equilibrium, where the user seeks help calculating various forces acting on them. Key points include determining the force exerted on the top cheerleader's hands, the force from the bottom cheerleader to the side cheerleaders, and the forces on the bottom cheerleader's shoulder and feet. The user mentions using the equation Force = Mass x Acceleration due to gravity and the Pythagorean theorem for calculations. They express confusion about whether to use perpendicular or vertical force components for their calculations. The suggestion to draw free body diagrams and resolve forces into x and y components is highlighted as a potential solution.
mjain275
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Hey, I've just started the curriculum at my school and can not seem to figure this problem out.

Homework Statement


Basically, I have the image below of a few cheerleaders doing a pose. They are in complete equilibrium. I have to find the force put on where the top cheerleader's hands are connected to the top cheerleader. I have to find the force put on by the bottom cheerleader to the guys on the sides. I have to find the force that is being put on the bottom guy's shoulder. Also, what is the force that is being put onto the bottom guy's feet. My points are also attached.

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Homework Equations



Force = Mass x Acceleration of Gravity.
Pythagorean Theorem.

The Attempt at a Solution



I think that the force that is being put on the top cheerleader from the two guys to the sides is similar to the simple conversion of each of the masses of the cheerleaders time 9.81(the acceleration of gravity.) Now, would I use the value that I get that is the perpendicular to the floor, or would I use the force that has a vertical length. This would just be for the hands. Now, to get the force that the person is putting onto the bottom person from the sides, I though that I would take the mass of the cheerleaders on the sides and figure the horizontal length in Newtons. The

This problem has stumped me. Thanks in advance, if someone may help me out.
 
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you should draw the free body diagram of each of them and resolve the resultant forces acting on them into the x and y component
 
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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