Consider the following distribution of objects: a 2.00-kg object with its center of gravity at (0, 0) m, a 2.20-kg object at (0, 6.00) m, and a 1.40-kg object at (2.00, 0) m. Where should a fourth object of mass 6.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?

Consider the following distribution of objects: a 2.00-kg object with its center of gravity at (0, 0) m, a 2.20-kg object at (0, 6.00) m, and a 1.40-kg object at (2.00, 0) m. Where should a fourth object of mass 6.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 35P: BIO The arm in Figure P10.35 weighs 41.5 N. The gravitational force on the arm acts through point A....

See similar textbooks

Similar questions

BIO The arm in Figure P10.35 weighs 41.5 N. The gravitational force on the arm acts through point A. Determine the magnitudes of the tension force F1 in the deltoid muscle and the force Fs exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. Figure P10.35
During a certain workout, you noticed that a 20-kg plate (say, positioned 45 cm from the center) was on the left side of the barbell while two 10-kg plates (say, one at 44.5 cm and the other at 45.5 cm from the center) were on the right. Why is this problematic? O The center of gravity shifts to the left though still inside the barbell. O The center of gravity shifts to the right though still inside the barbell. The center of gravity shifts to the left, outside the barbell. O The center of gravity shifts to the right, outside the barbell.
The center of gravity of a 3.00 {\rm kg} irregular object You need to move the center of gravity 2.00 {\rm cm} to the left by gluing on a 2.00 \rm kg mass, which will then be considered as part of the object. Where should the center of gravity of this additional mass be located? Express your answer with the appropriate units.
A 93 gm meter stick has two objects attached to it, one of 177 gm at the 15 cm mark and the other of 179 gm at the 81 cm mark. At what mark on the meter stick is the center of gravity of the system?
Consider the following mass distribution: 3 kg at (4 m, −4 m), 2.8 kg at (0 m, 4.2 m), and 3.7kg at(3.7m, 0m). We need to place a fourth mass of 4.8 kg so that the center of gravity of the four-mass arrangement will be at (0, 0). a) Find the x coordinate of such a point in m. b) Find the y coordinate of such a point in m.
Asap
Masses are distributed in the x,y-plane as follows: 6.0 kg at (0.0, 0.0) m, 4.0 kg at (2.0, 0.0) m, and 5.0 kg at (2.0, 3.0) m. What is the x-coordinate of the center of gravity of this system of masses? 2.0 m B 1.0 m 18 m D 1.2 m
The mass and coordinates of three objects are given below: m, = 6.0 kg at (0.0, 0.0) m, m, = 1.4 kg at (0.0, 4.5) m, and m, = 4.0 kg at (2.0, 0.0) m. Determine where we should place a fourth object with a mass m, = 9.7 kg so that the center of gravity of the four-object arrangement will be at (o.0, 0.0) m. m y = m
6 cm 0 2 cm 2 cm 4 cm 2 cm 6 cm Determine the coordinate of the center of gravity of the object as shown in the figure below.
Find the center of gravity of the region bounded by the x-axis, the curve y = sec x, and the lines x = -π/4, x = π/4.
Shown below is a 4.00-ft by 8.00-ft sheet of plywood with the upper left quadrant removed. Assume the plywood is uniform and determine the x and y coordinates of the center of gravity. Hint: The Earth's gravitational field is also uniform for the entire sheet of plywood.
The mass and coordinates of three objects are given below: m, = 6.0 kg at (0.0, 0.0) m, m, = 2.8 kg at (0.0, 4.3) m, and m, = 4.0 kg at (1.7, 0.0) m. Determine where we should place a fourth object with a mass m, = 9.2 kg so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m. X = m V = m