(a) Determine the position and the velocity of the center of mass of the system.

Question

(a) Determine the position and the velocity of the center of mass of the system.

(b) Sketch the position and velocity vectors for the individual particles and for the center of mass. (Do this on paper. Your instructor may ask you to turn in this work.)

position m velocity m/s + -12 points BauerPhys2 8.P.038. My Notes Ask Your Teacher A system consists of two particles. Particle 1 with mass 2.0 kg is located at (2.0 m, 6.0 m) and has a velocity of (1.1 m/s, 1.1 m/s). Particle 2 with mass 4.5 kg is located at (4.0 m, 1.0 m) and has a velocity of (0.6 m/s, 2.6 m/s). (a) Determine the position and the velocity of the center of mass of the system position velocity (b) Sketch the position and velocity vectors for the individual particles and for the center of mass. (Do this on paper. Your instructor may ask you to turn in this work.) Additional Materials Section 8.2

Explanation / Answer

A) Xcm = [(2*2)+(4.5*4)]/(2+4.5) = 3.38 m

Ycm = [(2*6)+(4.5*1)]/(2+4.5) = 2.53 m

position is sqrt(3.38^2+2.53^2) = 4.22 m

Vx-cm = ((2*1.1)+(4.5*0.6))/(2+4.5) = 0.75 m

Vy-cm = ((2*1.1)+(4.5*2.6))/(2+4.5) = 2.13 m

velocity is Sqrt(0.75^2+2.13^2) = 2.26 m/s

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