(Solved): A bucket used in a mining operation for moving ore has frictionless rollers at points \( A, B, C \), ...

A bucket used in a mining operation for moving ore has frictionless rollers at points \( A, B, C \), and \( D \). The bucket moves up and down a fixed rail \( H I \). The rollers at \( A \) and \( B \) are a loose fit on the rail, and the rollers at \( C \) and \( D \) are a loose fit. The mass of the bucket and its contents is 1400 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 \( T \) obtained in Part (a), determine which rollers make contact and the reactions at these rollers. The reaction force at \( A \) is \( \mathrm{N} \pi \). The reaction force at \( B \) is \( N \nwarrow \). (Round the final answer to four decimal places.) The reaction force at \( C \) is \( \mathrm{N} \searrow \). (Round the final answer to four decimal places.) The reaction force at \( D \) is \( N \pi \). For the value of \( T \) obtained in Part (a), which rollers make contact? (Check all that apply.)A B D