Need Help? Read 3. -2 points SerPSE9 9 P 045 wi Four objects are situated along

Question

Need Help? Read 3. -2 points SerPSE9 9 P 045 wi Four objects are situated along the y axis 2.42-kg object is at the origin, and a 4.07-kg object is at -0.499 m. Where is the center of mass of these objects? . My Notes Ask Your Te 7 m, a 3.04-kg object is at Need Help? ReadItWach 4. O -12 points SerPSE9 9 P048.WI My Notes Ask Your Tea A uniform piece of sheet metal is shaped as shown in the figure below. Compute the x and y coordinates of the center of mass of the piece. cm y (cm) 30 20 10 x (cm) 10 20 30 Need Help?ReWach My Notes Ask Your Teas 5. o -12 points SerPSE9 9 P.049 A rod of length 21.00 cm has linear density (mass per length) given by ? 50.0 + 21.5x arams/meter where x is the distance rrom one end, and ? ?s measured 04 PM

Explanation / Answer

a)

Total mass = 2.02 + 3.04 + 2.42 + 4.07 = 11.55

moment about the origin = (2.02)(2.97) + (3.04)(2.49) + (2.42)(0) + (4.07)( 0.499) = 15.5 m

center of mass = 15.5/11.5 = 1.35 m

b)

Along the x-axis, there are 3 squares at x=5, 2 at x=15, 1 at x-25.

(3x5 + 2x15 + 1x25)/6

=70/6

Along the y-axis, there are 3 at y=5, 1 at y=15, 2 at y=25.

(3x5 + 1x15 + 2x25)/6

=80/6

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