A $12\mathrm{.}0$ kg

box resting on a horizontal, frictionless surface is attached to a $5\mathrm{.}00$ kg

weight by a thin, light wire that passes over a frictionless pulley $($Figure $1).$ The pulley has the shape of a uniform solid disk of mass $2\mathrm{.}90$ kg

and diameter $0\mathrm{.}500$ m

$.$Part A

After the system is released, find the tension in the horizontal segment of the wire.

Express your answer with the appropriate units.

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Part B

After the system is released, find the tension in the vertical segment of the wire.

Express your answer with the appropriate units.

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Part C

After the system is released, find the acceleration of the box.

Express your answer with the appropriate units.

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Part D

After the system is released, find the horizontal and vertical components of the force that the axle exerts on the pulley.

Express your answers in newtons separated by a comma.

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