Center of Mass of a System Problem

AI Thread Summary
The problem involves calculating the center of mass for a system of two particles with given position vectors. For particle m1, the position is defined as r1(t) = (txhat - t^2yhat)m, and for particle m2, it is r2(t) = (txhat + t^3yhat)m. The user attempts to find the center of mass using the formula m1 x1(1) + m2 x2(1) / (m1 + m2) but expresses uncertainty regarding the inclusion of both x and y components. The discussion highlights the need to consider both components for accurate calculations of position, velocity, and acceleration. Clarification on how to properly incorporate both components is sought.
catstevens
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Homework Statement



From an inertial reference frame S, the vector position of a particle of mass
m1 = 1kg is given by r1(t)=(txhat - t^2yhat)m.
The vector position of a particle m2=2m1 is given by r2=(t)=(txhat +t^3yhat)m

Assume t=1second
Find the position, the velocity and the acceleration of the center of mass of the composite system: xCM vCM a CM


Homework Equations



m1 x1(1) + m2 x2(1) / m1 + m2


The Attempt at a Solution



3xkg/ 3kg = 3x-direction

velocity = x
acceleration = 0

I do not think this is right, could some one help?

 
Physics news on Phys.org
There is an x and y component to the position vector. You need to take both into consideration.
 

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