Three people located at A, B, and C pull on ropes tied to a ring. Find the magnitude and direction of the force with which the person at C must pull so that no one moves (the system is in equilibrium).
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7 + 30 = 100.7 \, lb \] Show more…
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Three people located at $A, B,$ and $C$ pull on ropes tied to a ring. Find the magnitude and direction of the force with which the person at $C$ must pull so that no one moves (the system is at equilibrium). (FIGURE CAN'T COPY)
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Three people located at A, B, and C pull on ropes tied to a ring: Find the magnitude and direction of the force with which the person at C must pull so that no one moves (the system is in equilibrium). Given: F1 = 116 lb F2 = 80 lb To find the force with which the person at C must pull, we can use the equation: F1 - F2 + F3 = 0 Now, let's solve for F3: F3 = F2 - F1 F3 = 80 lb - 116 lb F3 = -36 lb Since the force is negative, it means that the person at C must pull in the opposite direction of the other two forces. The magnitude of the force is 36 lb. Therefore, the person at C must pull with a force of 36 lb in the opposite direction of the other two forces.
Vishal G.
Three friends tie three ropes in a knot and pull on the ropes in different directions. Adrienne (rope 1$)$ exerts a $20-\mathrm{N}$ force in the positive $x$ -direction, and $\operatorname{Jim}(\text { rope } 2)$ exerts a $40-\mathrm{N}$ force at an angle $53^{\circ}$ above the negative $x$ -axis. Luis (rope 3$)$ exerts a force that balances the first two so that the knot does not move. (a) Construct a force diagram for the knot. (b) Use equilibrium conditions to write equations that can be used to determine $F_{\mathrm{L} \text { on } \mathrm{K} x}$ and $F_{\mathrm{L} \text { on } \mathrm{K} y}$ (c) Use equilibrium conditions to write equations that can be used to determine the magnitude and direction of $\vec{F}_{\mathrm{L} \text { on } \mathrm{K}}$
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