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 (0.0, 0.0) m. y =

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 (0.0, 0.0) m. y =

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....

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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
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.
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
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.
Shown are two thin beams joined at right angles. The vertical beam is 15.0 kg and 1.00 m long and the horizontal beam is 25.0 kg and 2.00 m long.a. Find the center of gravity of the two joined beams. Express your answer in the form (x, y), taking the origin at the corner where the beams join.b. Calculate the gravitational torque on the joined beams about an axis through the corner. The beams are seen from the side.
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
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.
A 93 gm meter stick has two objects attached to it, one of 179 gm at the 33 cm mark and the other of 177 gm at the 83 cm mark. At what mark on the meter stick is the center of gravity of the system?
Three identical coins lie on three corners of a square 10.0 cm on a side, as shown. Determine the x- and y-coordinates of the center of gravity of the group of three coins.
The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 12.0 kg and 1.00 m long and the horizontal beam is 21.0 kg and 2.00 m long. Neglect the lateral dimensions of the beams.Calculate the gravitational torque on the joined beams about an axis through the corner.
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.
It is sometimes important to determine the location of a person’s center of gravity(which coincides with the center of mass because the gravitational force is uniform at the scale of the human body). This can be done with the arrangement shown intheFigure below. A light (negligible mass) plank rests on two scales that read Fg1=380 N and Fg2=320 N. The scales are separated by a distance of 2.00 m. How far from the woman’s feet is her center of gravity?