A gym decides to gradually replace its weight training equipment. Now, users who use type 1 apparatus can also use type 2 apparatus, represented in the figure, to lift loads corresponding to masses $\mathbf{M}_{1}$ and $\mathbf{M}_{2}$, at constant velocity. In order for the exercise to be performed with the same force $\vec{F}$, users should be instructed about the relationship between the loads in the two types of apparatus, since fixed pulleys only change the direction of forces, while the movable pulley divides the forces. In both apparatus, consider the cords inextensible, the masses of the pulleys and cords negligible, and that there is no energy dissipation. For this gym, what should be the ratio $\frac{\mathbf{M}_{2}}{\mathbf{M}_{1}}$ informed to users? (A) $\frac{1}{4}$ (B) $\frac{1}{2}$ (C) 1 (D) 2 (E) 4
A gym decides to gradually replace its weight training equipment. Now, users who use type 1 apparatus can also use type 2 apparatus, represented in the figure, to lift loads corresponding to masses $\mathbf{M}_{1}$ and $\mathbf{M}_{2}$, at constant velocity. In order for the exercise to be performed with the same force $\vec{F}$, users should be instructed about the relationship between the loads in the two types of apparatus, since fixed pulleys only change the direction of forces, while the movable pulley divides the forces.
In both apparatus, consider the cords inextensible, the masses of the pulleys and cords negligible, and that there is no energy dissipation.
For this gym, what should be the ratio $\frac{\mathbf{M}_{2}}{\mathbf{M}_{1}}$ informed to users?\\
(A) $\frac{1}{4}$\\
(B) $\frac{1}{2}$\\
(C) 1\\
(D) 2\\
(E) 4