A painter (mass 61 kg) is walking along a trestle, consisting of a uniform plank (mass 20.0 kg, length 6.00 m) balanced on two sawhorses. Each sawhorse is placed 1.40 m from an end of the plank. A paint bucket (mass 4.0 kg, diameter 28 cm) is placed as close as possible to the right-hand edge of the plank while still having the whole bucket in contact with the plank.
(a) How close to the right-hand edge of the plank can the painter walk before tipping the plank and spilling the paint?
(b) How close to the left-hand edge can the same painter walk before causing the plank to tip? [As the painter walks toward the right-hand edge of the plank and the plank starts to tip clockwise, what is the force acting upward on the plank from the left-hand sawhorse support?]

Transcribed Image Text:

0.28 m -1.40 m一 6.00 m