Chapter 12, Problem d01 Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a fictitious example where g varies more significantly. The figure shows an array of six particles, each with mass m, fixed to the edge of a rigid structure of negligible mass. The distance between adjacent particles along the edge is 1.90 m. Following are the values of g at each particle's location: Particle 1: g =8.03 m/s2 Particle 2: g = 7.71 m/s2 Particle 3: g= 7,68 m/s2 Particle 4: q 7,47 m/s2 Particle 5: q= 7.68 m/s2 Particle 6: g = 7.71 m/s2 Using the coordinate system shown, find (a) the x coordinate xcom and (b) the y coordinate ycom of the center of mass of the six-particle system. Then find (c) the x coordinate x and (d) the y coordinate y of the center of gravity of the six-particle system 4 5 2 6 (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Chapter 12, Problem d01 Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a fictitious example where g varies more significantly. The figure shows an array of six particles, each with mass m, fixed to the edge of a rigid structure of negligible mass. The distance between adjacent particles along the edge is 1.90 m. Following are the values of g at each particle's location: Particle 1: g =8.03 m/s2 Particle 2: g = 7.71 m/s2 Particle 3: g= 7,68 m/s2 Particle 4: q 7,47 m/s2 Particle 5: q= 7.68 m/s2 Particle 6: g = 7.71 m/s2 Using the coordinate system shown, find (a) the x coordinate xcom and (b) the y coordinate ycom of the center of mass of the six-particle system. Then find (c) the x coordinate x and (d) the y coordinate y of the center of gravity of the six-particle system 4 5 2 6 (a) Number Units (b) Number Units (c) Number Units (d) Number Units

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)...

See similar textbooks

Similar questions

A 56.0-kg astronaut is in space, far from any objects that would exert a significant gravitational force on him. He would like to move toward his spaceship, but his jet pack is not functioning. He throws a 0.720-kg socket wrench with a velocity of 5.00 m/s in a direction away from the ship. After 0.500 s, he throws a 0.800-kg spanner in the same direction with a speed of 8.00 m/s. After another 9.90 s, he throws a mallet with a speed of 6.00 m/s in the same direction. The mallet has a mass of 1.20 kg. How fast is the astronaut moving after he throws the mallet?(assume all speeds are relative to the spaceship).
A uniform flat plate of metal is situated in the reference frame shown in the figure below. 5 4 3 2 1 0 + H 0 1 2 3 4 5 6 7 8 9 10 Y Calculate the coordinate of the center of mass of the metal plate.
5. A system consists of three particles as shown in the figure. Mass 1 is 8.10 kg and located at (0, 1.00) - m. Mass 2 is 5.30 kg and located at (2.00, 1.00) m. Mass 3 is 1.00 kg and located at (2.00, 0) m. Calculate the center of mass of the system. y (m) m, m2 y m3 x (m) a. ( 0.875î+ 1.003 ) m b. ( 0.875î + 0.931ĵ ) m c. ( 1.00î + 2.00ĵ ) m d. ( 2.00î + 1.00ĵ ) m e. ( 0.931î + 0.875Î ) m е.
A rigid ball of mass m and velocity u undergoes an inelastic collision with another rigid ball of mass m and velocity -u. After the collision, the balls stick together. Find the mass of the composite object after the collision. What must |u| be for the composite object mass to be 3m?
A certain carbon monoxide molecule consists of a carbon atom of mass mc = 14 u and an oxygen atom of mass mo = 18 u that are separated by a distance of d = 122 pm, where "u" is an atomic unit of mass. a. Write a symbolic equation for the location of the center of mass of the carbon monoxide molecule relative to the position of the oxygen atom. This expression should be in terms of the masses of the atoms and the distance between them. b. Calculate the numeric value for the center of mass of carbon monoxide in units of pm.
A space vehicle is traveling at 3840 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 94 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation? Number i Units
You release a 3-kg firecracker from rest. At t = 0.4 s, the firecracker is moving downward with speed 4 m/s. At this same instant, the firecracker begins to explode into two pieces with masses mtop = 1 kg and mbottom = 2 kg. At the end of the explosion (t = 0.8 s), the top piece is moving upward with speed 4 m/s.Determine the velocity of the bottom piece at t = 0.8 s.(Hints: Make a momentum vector diagram. Don’t forget to include impulse in your diagram!)
A system of four particles moves along one dimension. The center of mass of the system is at rest, and the particles do not interact with any objects outside of the system. Find the velocity v4 of particle 4 at t1 3.07 s given the details for the motion of particles 1, 2, and 3. particle 1: m1 1.57 kg, vi (t) = (6.09 m/s) + (0.299 m/s²) × t particle 2: т2 3D 2.93 kg, v2 (1) = (8.27 m/s) + (0.609 m/s²) × t particle 3: 4.85 kg, v3 (t) = (6.33 m/s) + (0.279 m/s²) × t m3 = particle 4: m4 = 5.27 kg V4 = m/s
The figure shows a composite slab with dimensions d₁ = 11.9 cm, d₂ = 2.94 cm, and d3 = 12.8 cm. Half the slab consists of aluminum (density = 2.70 g/cm³) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number (b) Number (c) Number dy Iron Units Units Units 2d₁ -Midpoint Aluminum dy 11
Please Help!
Two pieces of space debris drift toward each other, collide, and stick together. The first piece has a mass of 45 kg and a velocity of m/s just before the collision. The second piece has a mass of 65 kg and a velocity of m/s just before the collision. What is the velocity of their center of mass after the collision? O ( 0.73, 0.73, 4.95 ) m/s O ( 3.27, 3.27, 4.05 ) m/s O ( 9.00, -5.00, 9.00 ) m/s O ( -0.99, -0.99, 11.50 ) m/s O None of the above
The pendulum apparatus in the video has a total mass of 578 grams. The pendulum rod has a small mass of 20 grams so you can treat all the mass of the pendulum as if it were hanging at the end which is called the “bob”. The mass of the rod should be taken into account in determining the center of mass of the apparatus which is 71.3 cm (not the length of the pendulum). A marble which hass a mass of 10 g is fired at the pendulum bob which has clay on it which allows the marble to stick to it. Derive a formula for measuring the velocity of the marble (vm) as a function of the mass of the marble mm, the mass of the marble/bob mmb and the velocity of the marble and bob vmb using the conservation of momentum.