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# FIGURE CP7.54 shows three hanging masses connected by massless strings over two massless, frictionless pulleys. a. Find the acceleration constraint for this system....

## Question

###### FIGURE CP7.54 shows three hanging masses connected by massless strings over two massless, frictionless pulleys. a. Find the acceleration constraint for this system. It is a single equation relating $a_{1 y}$ $a_{2 y}$ and $a_{3 y}$ Hint: $y_{\mathrm{A}}$ isn't constant. b. Find an expression for the tension in string $\mathbf{A}$ Hint: You should be able to write four second-law equations. These, plus the acceleration constraint, are five equations in five unknowns. Hint: You should be able

FIGURE CP7.54 shows three hanging masses connected by massless strings over two massless, frictionless pulleys. a. Find the acceleration constraint for this system. It is a single equation relating $a_{1 y}$ $a_{2 y}$ and $a_{3 y}$ Hint: $y_{\mathrm{A}}$ isn't constant. b. Find an expression for the tension in string $\mathbf{A}$ Hint: You should be able to write four second-law equations. These, plus the acceleration constraint, are five equations in five unknowns. Hint: You should be able to write four second-law equations. These, plus the acceleration constraint, are five equations in five unknowns. c. Suppose: $m_{1}=2.5 \mathrm{kg}, m_{2}=1.5 \mathrm{kg},$ and $m_{3}=4.0 \mathrm{kg} .$ Find the acceleration of cach. d. The $4.0 \mathrm{kg}$ mass would appear to be in equilibrium. Explain why it accelerates.

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