"A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-ordinates for particle 1 are (4,4), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the x coordinate of the system s center of mass?"

"A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-ordinates for particle 1 are (4,4), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the x coordinate of the system s center of mass?"

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.6P

See similar textbooks

Related questions

Q: Consider the length of the boat as the x-axis with the origin at its left end. The positions of the…

A: Given-The position of the person arexA=1 m,xB=2.5 m,xc=3 mThe three persons almost have the same…

Q: "A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…

A: formula for center of mass=> rcom=m1r1+m2r2+... +mnrnm1+m2+...+mn

Q: A system consists of two particles, each of mass m=5 g, with positions and velocities as follows: r…

Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…

Q: at the instant a 2 kg particle has a velocity of 4ms in the positive x-direction, a 3kg particle has…

A: center of mass is a point representing the mean position of the matter in a system.

Q: Point-masses m, are located on the x-axis as shown. Find the moment M of the system about the origin…

Q: In one dimension, a particle of mass m and velocity Vî collides elastically with a particle of mass…

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: Point-masses m, are located on the x-axis as shown. Find the moment M of the system about the origin…

Q: A carbon monoxide molecule lies along an x axis, with the carbon atom at x = 0 and the oxygen atom…

A: Write a given value of the question. Mass of the Corban. mc=m1=12g Mass of the oxygen. m0=m2=16g.…

Q: One of the first ion engines on a commercial satellite usedXenon as a propellant and could eject the…

A: Consider the mass flow rate of the ionized gas by the ion engine as mf and exhaust speed of the gas…

Q: Find the coordinates of the center of mass of the following solid with variable density.…

A: Solution-

Q: "A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…

A: The center of mass is sum of product of individual mass and coordinates. The SI unit of center of…

Q: The figure shows a three-particle system, with masses m₁ = 1.4 kg, m2 = 2.2 kg, and m3 = 8.1 kg.…

Q: A particle of mass m = 1.1 kg and initial velocity v0 = 13 m/s directly to the right, strikes an…

A: m=1.1 kgvo=13 m/sM=17.5 kgVo=0collision: inelasticv=4.5 m/sθ=59°we have to find V=?ϕ=?

Q: An object with a mass 8 kg and a speed of 38 m/s strikes a steel plate at an angle theta 45 degrees…

A: Answer : Option b

Q: Two objects with masses m = 0.5 kg and m2 = 0.2 kg are located on a horizontal frictionless path,…

Q: Three masses A=3kg, B=4kg and C=5kg are connected by rods of negligible mass to form an equilateral…

Q: Two carts of mass 0.65 kg and 1.50 kg are moving on a level air track with velocities -1.60 m/s and…

A: Given, mass of the cart, m1 = 0.65 kgm2 = 1.50 kgv1 = -1.60 msv2 = +0.85 ms

Q: A bullet of mass m = 0.500 [g] is fired horizontally with a speed v = 10.0 [m/s] into the bob of a…

A: The data provided is, 1. Mass of the bullet, m=0.500 g 2. Initial speed of the bullet, v=10 m/s 3.…

Q: A 2.50 kg particle has the xy coordinates (-1.20 m, 0.500 m) and a 5.50 kg particle has the xy…

A: Given, A particle having mass m1=2.5 kg has coordinate x1,y1=-1.20m,0.500m A particle having mass…

Q: Four particles of masses 5, 2, 1, and 4 kg are 39. placed at the points with position vectors 2j –…

A: Centre of mass is the point where total mass of the system is supposed to be present.

Q: A 2.00 kg particle has the ry coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the ry…

A: Answer (-0.1m , 0.7667m)

Q: "A three particle system with with masses: m1 = 8.0 Kg, m2 = 4.0 Kg and m3 = 3.0 Kg. The position…

A: Given data: Masses: m1=8.0 kg; m2=4.0 kg; m3=3.0 kg Position coordinates: x1,y1=5,5; x2,y2=2,1;…

Q: A fireworks rocket is moving at a speed of v = 46.3 m/s. The rocket suddenly breaks into two pieces…

A: Given, A firework rocket is moving with speed v

Q: In sample Prob. 9.03, if a forth particle of mass 1 kg is experiencing a force of magnitude F4 = -2j…

A: Given data: The fourth force is F4=-2 N. Mass of fourth particle is m=1 kg.

Q: Masses of m = 2 (kg) and m2 = 4 (kg), the directions of which are shown in the figure, collide…

Q: One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the…

A: The expression for the centre of mass for 2 objects in x-direction is…

Q: Determine the coordinates in which a particle of mass m4 = 6g must be placed so that the center of…

Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…

A: Given: The mass of the first particle is 5.00 kg. The coordinates are (1.20 m, 2.00 m). The mass of…

Q: A three-particle system, with masses m = 2.0 kg, m2 = 4.0 kg, and ma = 8.0 kg. The scales on the…

Q: Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0, 0), (1.0 m, 1.0 m), and (2.0 m, -2.0…

Q: A gymnast jumps straight up, with her center of mass moving at 3.24 m/s as she leaves the ground.…

A: Initial velocity (u) = 3.24 m/s Initial position of center of mass = 0 m

Q: A system has a 1.5 kg particle at the origin. The other particle has a mass of 2.5 kg and is…

A: The center of mass of a system of particles is defined as the point at which the whole mass of the…

Q: Find the moments Mx and My and the center of mass of the system of masses. m1 = 6, m2 = 7, m3 = 1…

Q: A particle with mass ma = 3.00 kg is located at ra = (2.50 i+ 3.50 j) m, and a second particle of…

Q: The 528 kg uniform beam is subjected to the three external loads shown. Compute the moment reaction…

A: The moment is a vector quantity which means it has both magnitude and direction to it. It can be…

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

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

A: C.M. is hypothetical point which lies inside or outside body, at which complete mass of body is…

Q: A bullet of mass m = 7.50 g is fired horizontally with a speed v = 549 m/s into a bob of a ballistic…

Q: A bullet of mass m = 0.5 kg is fired horizontally with a speed v = 10 m/s into the bob of a…

A: Given: Mass of bullet mb = 0.5 kg Initial Speed of bullet vb = 10 ms Mass of pendulum mp = 0.5 kg.…

Question

"A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-ordinates for particle 1 are (4,4), for particle 2 are (2,1) and
for particle 3 are (1,2). What will be the x coordinate of the system s center of mass?"

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 by step

Solved in 2 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

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?
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 .
three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position co-ordinates for particle 1 are (3,3), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the y coordinate of the system s center of mass?
Two particles P andQare released from rest 1.0 m apart.P has a mass of 0.10 kg, and Qa mass of 0.30 kg.P andQattract each other with a constant force of 1.0 * 10-2 N. No external forces act on the system. (a) What is the speed of the center of mass of P and Q when the separation is 0.50 m? (b) At what distance from P’s original position do the particles collide?
The figure shows a three-particle system, with masses m₁ = 1.2 kg, m₂ = 4.8 kg, and m3 = 7.0 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number (b) Number Units Units y (m) 2 1 0 M₁ INS O lov 2 M₂ 3 -x (m)
"A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position co-ordinates for particle 1 are (3,3), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the y coordinate of the system s center of mass?" 1.86 1.28 2.22 The data is not enough to calculate the center of mass
"A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position co-ordinates for particle 1 are (3,3), for particle 2 are (2,1) and for particle 3 are (1,2). What will be the x coordinate of the system s center of mass?" a 1.57 b 1.28 c 2.22 d The data is not enough to calculate the center of mass
A system has a 1.5 kg particle at the origin. The other particle has a mass of 2.5 kg and is located 3 m away on the x axis. Where is the center of mass for this system?
The figure shows a three-particle system, with masses m₁ = 4.5 kg, m₂ = 3.7 kg, and m3 = 6.7 kg. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number (b) Number i Hint i eTextbook and Media Units Units y (m) 2 1 0 m1 ms 2 m₂ 3 x (m) Attempts: 1 of 5 used Submit Answer
A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy coordi-nates (0.300 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 4.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.900 m)?
Determine the coordinates of the center of mass of the three-particle system below. The masses are as follows, m1=3.0 kg, m2 = 4.0 kg and m3 = 8 kg. (Use xcm= (x1m1+ x2m2+ ...xnmn)/(m1+m2+...mn) and a similar formula for y.) Assume ys= 2 m and xs=2 m.
One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the first astronaut is their mutual center of mass? Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown.