Three solid, uniform boxes are aligned as in the figure below. Find the x- and y-coordinates (in m) of the center of mass of the three boxes, measured from the bottom left corner of box A. (Consider the three-box system.) HINT Xcm = Ycm = Need Help? Origin 0.750 kg m m 0.300 m Read It A Watch It 0.350 m B 1.00 kg 0.150 m с 0.650 kg 0.418 m x

Three solid, uniform boxes are aligned as in the figure below. Find the x- and y-coordinates (in m) of the center of mass of the three boxes, measured from the bottom left corner of box A. (Consider the three-box system.) HINT Xcm = Ycm = Need Help? Origin 0.750 kg m m 0.300 m Read It A Watch It 0.350 m B 1.00 kg 0.150 m с 0.650 kg 0.418 m x

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 24PQ

See similar textbooks

Similar questions

To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.
Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.
Two small-sized objects are placed on a uniform9.00/rmkg plastic beam 3.00 long,rmm . Assume that m1= 8.20kg and kg =7.45kg Find the location of the center of mass of this system by setting x = 0 at the right end of the beam.
Three solid, uniform boxes are aligned as in Figure P8.10.Find the x- and y-coordinates of the center of mass ofthe three boxes, measured from the bottom left corner ofbox A.
Three masses at m1 = 1 kg, r1 = 1i + 2j m2 = 2 kg, r2 = -2i +3j m3 = 3 kg, r3 = 0i + 3j. The system's center of mass is at rcm = xi + yj. Find both x and y.
solve and draw the center of mass of the point masses m1=15kg,m2=20kg, m3=50kg x1=5m, x2=8m, x3=6m
A system is made up of point masses P1 at position (1, -6, 5) m, P2 at position (-5, 4, 2) mand P3 at position (7, 5, 3) m. Calculate the center of mass of the system if each of the pointmasses have the same mass
A 59-kg woman and a 71-kg man sit on a seesaw, 3.5 m long. Where is their center of mass?
Three solid, uniform boxes are aligned as in Figure P8.10. Find the x-and y-coordinates of the center of mass of the three boxes, measured from the bottom left corner of box A.
A 59-kg woman and a 71-kg man sit on a seesaw, 3.5 m long. Where is their center of mass? Answers: 1.91 m from the woman 1.59 m from the man 0.16 m from the center (Answers were given to us. We only need to look for the solutions.)
4. Orin and Ann, two paramedics, rush a 60.0 kg man from the scene of an accident to a waiting ambulance, carrying him on a uniform 3.00 kg stretcher held by the ends. The stretcher is 2.60 m long and the man’s center of mass is 1.00 m from Ann. How much force must Orin and Ann each exert to keep the man horizontal? a. Orin = 230 N, Ann = 388 N b. Orin = 201 N, Ann = 411 N c. Orin = 241 N, Ann = 377 N d. Orin = 141 N, Ann = 477 N e. None of the above
Jane is sitting on a chair with her lower leg at a 30.0° angle with respect to the vertical, as shown. You need to develop a computer model of her leg to assist in some medical research. Assume that her leg can be modeled as two uniform cylinders, one with mass M = 22.0 kg and length L = 35.0 cm and one with mass m = 10.0 kg and length l = 40.0 cm. Find the y-component of the center of mass of Jane’s leg.