A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length 6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint bucket (mass 4.02 kg, diameter 24 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?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 90A
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A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length
6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint
bucket (mass 4.02 kg, diameter 24 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?
24 cm
1.13 m
1.13 m
6.000 m
Transcribed Image Text:A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length 6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint bucket (mass 4.02 kg, diameter 24 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? 24 cm 1.13 m 1.13 m 6.000 m
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