The 3.8 m long board shown in the image has a mass of 6.4 kg. The left support is 0.40 m from left end of the board. The right support is 1.2 m from the right end of the board. The cat has a mass of 5.0 kg and starts walking to the right. How far from the right support can the cat walk before the board tips over? (Give your answer in m.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The 3.8 m long board shown in the image has a mass of 6.4 kg. The left support is 0.40 m
from left end of the board. The right support is 1.2 m from the right end of the board. The
cat has a mass of 5.0 kg and starts walking to the right. How far from the right support can
the cat walk before the board tips over? (Give your answer in m.)
Hints: There are two possible ways to solve this problem
1) Use the center of mass: Find the cat's position when the entire system's center of mass is
at the right support.
2) Use torque: Set the pivot point at the right support and find the torque due to the weight
of the beam and the weight of the cat.
Answer:
Transcribed Image Text:The 3.8 m long board shown in the image has a mass of 6.4 kg. The left support is 0.40 m from left end of the board. The right support is 1.2 m from the right end of the board. The cat has a mass of 5.0 kg and starts walking to the right. How far from the right support can the cat walk before the board tips over? (Give your answer in m.) Hints: There are two possible ways to solve this problem 1) Use the center of mass: Find the cat's position when the entire system's center of mass is at the right support. 2) Use torque: Set the pivot point at the right support and find the torque due to the weight of the beam and the weight of the cat. Answer:
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