Required information

A bucket used in a mining operation for moving ore has frictionless rollers at points $\backslash ($ A$,$ B$,$ C $\backslash ),$ and $\backslash ($ D $\backslash ).$ The bucket moves up and down a fixed rail $\backslash ($ H I $\backslash ).$ The rollers at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ are a loose fit on the rail, and the rollers at $\backslash ($ C $\backslash )$ and $\backslash ($ D $\backslash )$ are a loose fit. The mass of the bucket and its contents is $1450$ kg $.$ The coordinate system to be used is shown in the figure.

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

For the value of $\backslash ($ T $\backslash )$ obtained in Part $($a$),$ determine which rollers make contact and the reactions at these rollers.

The reaction force at $\backslash ($ A $\backslash )$ is

$\backslash [$

N

warrow

$\backslash ]$

The reaction force at $\backslash ($ B $\backslash )$ is

$\backslash ($ N

warrow $\backslash ).($Round the final answer to four decimal places.$)$

The reaction force at $\backslash ($ C $\backslash )$ is

$\backslash ($ N $\backslash$searrow $\backslash ).($Round the final answer to four decimal places.$)$

The reaction force at $\backslash ($ D $\backslash )$ is $"$ N $$

For the value of $\backslash ($ T $\backslash )$ obtained in Part $($a$),$ which rollers make contact? $($Check all that apply.$)$