Key Example Variation Problem $10\mathrm{.}13$

VP $10\mathrm{.}13\mathrm{.}1$

Be sure to review Example $10\mathrm{.}13$ before attempting these problems.

Part A

A $5\mathrm{.}0$ kg plank is being held up in a horizontal position by a rope as shown in $($Figure $1).$ The plank is $1\mathrm{.}0$ m long, and its left end is attached to the wall by a hinge. A $10$ kg box is placed on the plank at a distance $\backslash ($ x $\backslash )$ from the hinge. If the maximum tension that the rope can sustain is $60$ N $,$ what is the maximum value of $\backslash ($ x $\backslash )$ before the rope breaks?

Express your answer using the appropriate units.

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VP $10\mathrm{.}13\mathrm{.}2$

Part B Complete previous part$($s$)$

VP $10\mathrm{.}13\mathrm{.}3$

Figure

Part C Complete previous part$($s$)$

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