A uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 70-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket.

A uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 70-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket.