17) find the center of mass of the given system of point masses. Find the center of mass of the given system of point masses.(x,y)(X, Y) (2, 2) (-3, 1) (1,-6)

Center of mass: The location where the whole sum of the masses is considered to be concentrated is…

Answered: Find the center of mass of the given…

Science

Physics

Find the center of mass of the given system of point masses. = (x,, Y;) 5 (2, 2) 1 (-3, 1)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 23PQ

See similar textbooks

Related questions

Q: 3) A block of mass 10 kg is travelling South at 15 m/s. A block of mass 8 kg is travelling East at…

Q: A disk of radius R and density o(r) = 0,(1 –-). A semi-circular disk of uniform density and radius…

A: Solution: The determination of center of mass is given below:

Q: Two 4.51 kilogram balls are located at 1.01 meter and 9.01 meter and a 2.31 kilogram ball is located…

Q: 4) A square of side 2R has a circular hole of radius R/2 removed. Relative to the center of the…

A: The given section is shown below.

Q: When the center of the mass of system of identical particles is at the origin?

A: Given Data: ⇒Position of COM or simply COM is at the origin. ⇒Particles are identical i.e.…

Q: What is the center of mass of the distribution shown below. 10 3kg Skg 7 4 3 2 +→x(m) 1234.5.678910

Q: Particle A of 2.0 kg moves to the right with a speed of 2.0 m/s. It collides with another particle,…

Q: Find the center of mass of a quarter of a spherical shell of radius "a" shown in the figure.

A: given image:

Q: Three point masses 4kg, 2kg and 6 kg lie at (2,-4), (0,2) and (3,-4) respectively. Calculate the…

A: Given The mass at first point is m1=4 kgThe mass at second point is m2= 2kgThe mass at third point…

Q: A mass of 200kg moves along a straight line at 10m/s. It collides with a mass of m2 kg moving the…

Q: Find the position of the center of mass of the system of the sun and Jupiter. (Since Jupiter is more…

A: The center of mass from the center of the Sun is μ=msrs+mjrjms+mj The orbital radius of the Sun is 0…

Q: 34) A 2.0 kg object moving at 5.0 m/sec collides with and stick to an 8.0 kg object initially at…

A: The kinetic energy lost during collision is the difference between initial and final kinetic energy…

Q: 2) A shell with mass 4m is moving with a horizontal speed of 40 m/s at a height of 100 m. At this…

A: a) Initial mass of the shell=4m Initial speed of the shell, u=40 m/s Height of the shell=100 m…

Q: M of its initial mass to A spaceship's orbital maneuver requires a speed increase of 1.05 x 10 m/s.…

A: Rocket propulsion is concept based on Law of conservation of momentum. Increase in velocity of…

Q: The x and y coordinates in meters of the center of mass of the three-particle system shown below…

A: Given, m1 = 4 kg at 0, 0m2 = 6 kg, at 1, 3m3 = 5 kg, at 2, 2

Q: 8) Two cars collide at an icy intersection and stick together afterward. The first car has a mass of…

A: Given Data:Mass of car 1 Mass of car 2 Velocity of car 1 Velocity of car 2 To Determine:(a). The…

Q: the following figure shows 3 cubes with these side lengths l, 2l, 3l placed next to each other…

A: x coordinates of center of mass of first cube will be X1 = l/2x coordinates of center of mass of…

Q: Mass 1, which is 30 kg, is 10 meters east and 20 meters north of a reference point. Mass 2, which…

A: Please see the next step for solution:-

Q: A mass m with velocity v collides with another mass M that is stationary (elastic collision). If…

A: Mass of moving object is m moving with velocity v. Final velocity after collision of this object is…

Q: Find the center of mass of a quadrant of spheres describing the diameter "a" and shown in .the…

A: as given geometry is symmetric about Z axis, so center of mass should lie on Z axis. center of mass…

Q: The position of masses 3kg, 4kg, 6kg and 10kg are (0,1) (5,2), (0,5) and (5,7) respectively.…

Q: The coordinates of the centre of mass of objects of mass 10, 20, 30 kg are (1,1,1) m. Where should…

A: Given: The coordinates of the centre of mass of objects of mass 10, 20, 30 kg are are (1,1,1) m. m =…

Q: b) What is the change in kinetic energy regarding the collision?

Q: Calculate the increase in velocity (in m/s) of a 4810 kg space probe that expels 3210 kg of its mass…

A: Given Data: The initial mass of a space probe is,m0=4810 kgThe remaining mass of a space probe is,…

Q: 2) Mass 1 = 5 kg is initially travelling east at 4.5 m/s. It strikes a stationary Mass 2 = 2.5 kg,…

Q: Objects "mAmA" and "mBmB" have the same mass, and "mCmC" has double the mass of "mAmA". Which of the…

A: The position of the given system’s center of mass (C.O.M) can be found as, Here, m, x, and y…

Q: e) Three point masses 4kg,2kg and 6 kg lie at (2,4), (0,2) and (3, -4) respectively. Calculate the…

Q: 5) The center of mass of a two-particle system is at the origin. One particle is located at (3.0 m,…

Q: 5 kg 3 kg 8m.

A: From the origin, if m1 is at a distance r1 and m2 is at a distance r2 then the center of mass of the…

Q: Find center of the mass of X and Y Axis. Write the solution and encircle the answer. The position…

A: Given: The position of masses 3kg, 4kg, 6kg and 10kg are (0,1) (5,2), (0,5) and (5,7) respectively.…

Q: Find the center of mass of the given system of point masses.

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

100%

17) find the center of mass of the given system of point masses.

Find the center of mass of the given system of point masses.
(x,y)
(X, Y) (2, 2) (-3, 1) (1,-6)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .
A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?
A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.
A projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of 50.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0-kg part falls straight down after breakup with an initial speed of 10.0 m/s, the 0.7-kg part moves in the original forward direction, and the 0.3-kg part goes straight up. Launch a. Find the speeds of the 0.3-kg and 0.7-kg pieces immediately after the break-up. b. How high from the break-up point does the 0.3-kg piece go before coming to rest? c. Where does the 0.7-kg piece land relative to where it was fired from?
A 2.00-kg particle has a velocity (2.00i3.00j)m/s, and a 3.00-kg particle has a velocity (1.00i+6.00j)m/s. Find (a) the velocity of the center of mass and (b) the total momentum of the system.
Two particles of masses m1 and m2 , move uniformly in different circles of radii R1 and R2 R2 about origin in the x, y-plane. The x- and y-coordinates of the center of mass and that of particle 1 are given as follows (where length is in meters and tin seconds): x1(t)=4cos(2t) , y1(t)=4sin(2t) and: xCM(t)=4cos(2t) , yCM(t)=3sin(2t) . a. Find the radius of the circle in which particle 1 moves. b. Find the x- and y-coordinates of particle 2 and the radius of the circle this particle moves.
A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?
Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and mass M. Let the origin be at the center of the base of the cone and have +z going through the cone vertex.
(a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed the exhaust speed of the fuel? Explain.
Find the center of mass of a rectangular material of length a and width b made up of a material of nonuniform density. The density is such that when the rectangle is placed in the xy-plane, the density is given by (x,y)=0xy .
Two projectiles of mass m1 and m2 , are fired at the same speed but in opposite directions from two launch sites separated by a distance D. They both reach the same spot in their highest point and strike there. As a result of the impact they stick together and move as a single body afterwards. Find the place they will land.
Where is the center of mass of a slice of pizza that was cut into eight equal slices? Assume the origin is at the apex of the slice and measure angles with respect to an edge of the slice. The radius of the pizza is R.