The 3.8 m long board shown in the image has a mass of 6.4 kg. The left support is 0.40 mfrom left end of the board. The right support is 1.2 m from the right end of the board. Thecat has a mass of 5.0 kg and starts walking to the right. How far from the right support canthe cat walk before the board tips over? (Give your answer in m.)Hints: There are two possible ways to solve this problem1) Use the center of mass: Find the cat's position when the entire system's center of mass isat the right support.2) Use torque: Set the pivot point at the right support and find the torque due to the weightof the beam and the weight of the cat.Answer:

Given: Mass of board = 6.4 kg Length of board = 3.8 m Length between right support and right edge =…

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.)

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.)

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 74A

See similar textbooks

Similar questions

(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?
In the figure, a 60 kgkg man walks out on a 14 kgkg beam that rests on, but is not attached to, two supports.(Figure 1) When the beam just starts to tip, what is the force exerted on the beam by the right support? Express your answer to two significant figures and include the appropriate units.
Three children are trying to balance on a seesaw, which includes a fulcrum rock acting as a pivot at the center (see figure). The board is 5.6 m long and weighs 330 N. Two children sit at either end: Child A has a weight of 400 N'and Child B has a weight of 320 N. Where should Child C, who has a weight of 140 N, sit so that the seesaw is balanced? Take x = 0 at the pivot. 400 N 320N 140 N -1.6 m -0.57 m 0.57 m 1.6 m
A uniform, 100-N pipe is used as a lever as shown in the figure. Where must the fulcrum (the support point) be placed if a 500-N weight at one end is to balance a 200-N weight at the other end? What is the reaction force exerted by the support on the pipe? Assume that the length of the pipe is 35 meters. FR L-x L/2 200 N 100 N 500 N
A hungry bear weighing 85.0 kg walks out on a beam in an attempt to retrieve a basket of food hanging at the end of the beam. The beam is uniform, has a mass of 20.0 kg, is 8.00 m long, and pivoted at the wall; the basket weighs 10.0 kg. If the wire can withstand a maximum tension of 900 N, what is the maximum distance that the bear can walk before the wire breaks? ←x 60.0⁰ Goodies
Hi, I am in physics I and I'm trying to understand this word problem. It saids that a 6.0-m uniform board is supported by two sawhorses 4.0m apart. A 32kg child walks on the board to 1.4 m beyond the right support when the board start to tip. a.) Find the mass of the board b.) Then he walks back 0.40m and stands still. Find the forces exerted by the supports at this time. (use the mass found in part a). Please be detailed of how this works. Its a harder problem for me to understand. Thank you!
A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight. If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is ?=9.81 m/s2.
The 3.0-m-long, 96 kg rigid beam in the figure is supported at each end. A 72 kg student stands 2.0 m from support 1. How much force does the support 1 exert from the beam? How much upward force does support 2 exert on the beam?
A 39 kg , 5.0 m long beam is supported, but not attached to, the two posts in the figure. A 20 kg boy starts walking along the beam. How close can he get to the right end of the beam without it falling over?
A 44 kg , 5.2-m-long beam is supported, but not attached to, the two posts in the figure. A 20 kg boy starts walking along the beam. How close can he get to the right end of the beam without it falling over?
A 55 kg uniform board 2.44 m long is supported by a pivot 78 cm from the left end and by a scale at the right end (see the figure).(Figure 1) Figure O 1 of 1> Part A Where should the 44 kg child sit if the scale is to read 100 N? Express your answer using two significant figures. IVE ΑΣΦ x = Submit Part B x = Request Answer Where should the 44 kg child sit if the scale is to read 300 N? Express your answer using two significant figures. IVE ΑΣΦ Submit Request Answer ? Pod ? cm from the left end of the board cm from the left end of the board
The uniform seesaw shown below is balanced on a fulcrum located 3.0 m from the left end. The smaller boy on the right has a mass of 35 kg and the bigger boy on the left has a mass of 78 kg. What is the mass of the board (in kg)? 3.0 m 5.0 m kg