1. (5 points) x (m) lfm-1-3.0 kg, m-2 = 4.0 kg, and m-3 = 6.0 kg, find the x and

Question

1. (5 points) x (m) lfm-1-3.0 kg, m-2 = 4.0 kg, and m-3 = 6.0 kg, find the x and y coordinates of the center-of-mass of this system. 2. (10 points) The figure shows a thin rod, of length L 1.50 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m 8.50 kg is attached to the other end. The rod is pulled aside to angle 6.7" and released with initial velocity v 0. (a)What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? Explain why Page 3 of 10

Explanation / Answer

only one question can be posted as per chegg guidelines

1.

m1 is at (0,0)

m2 is at (1,2)

m3 is at (2,1)

X-Coordinate of center of mass

Xcm =(m1X1+m2X2+m3X3)/(m1+m2+m3)

Xcm =(3*0+4*1+6*2)/(3+4+6)=1.23 m

Y-Coordinate of center of mass

Ycm =(m1Y1+m2Y2+m3Y3)/(m1+m2+m3)

Ycm =(3*0+4*2+6*1)/(3+4+6)=1.08 m

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