Part E

Note that $x_{\text{c}\text{r}\text{i}\text{t}\text{i}\text{c}\text{a}\text{l}},$ as computed in the previous part, is not necessarily positive. If the bar will be stable no matter where the block of mass $m_2$ is placed on it$.$ Assuming that $m_1,d,$ and $L$ are held fixed, what is the maximum block mass $m_{\text{m}\text{a}\text{x}}$ for which the bar will always be stable? In other words, what is the maximum block mass such that $x_{\text{c}\text{r}\text{i}\text{t}\text{i}\text{c}\text{a}\text{l}}0?$

Answer in terms of $m_1,d,$ and $L.$

View Available Hint$($s$)$

Hint $1.$ Requirement of stability

If $x$ is calculated to be less than zero, the solution is unphysical. $($The bar does not extend there to support it$!)$ The minimum value that $x$ can have is obviously zero. If $m$ is less than the mass that would give $x_{\text{c}\text{r}\text{i}\text{t}\text{i}\text{c}\text{a}\text{l}}=0$ then the bar will be stable for any physical value of $x.$

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$m_{ma\text{:}}$

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Review I Constants

base and is

Figure $1).$ The

being $7\mathrm{.}0$ m

attached $3\mathrm{.}0$ m

Part A

When the crane is raised to $55$ above the horizontal holding an $11,000N$ pallet of bricks by a $2\mathrm{.}2$ m very light cord, find the tension in the cable. Express your answer with the appropriate units.

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Part B

Find the horizontal component of the force that the axle exerts on the crane.

Express your answer with the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left.

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Part C

Find the vertical component of the force that the axle exerts on the crane.

Express your answer with the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

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