Part 1 of 6-Location of the Center of Mass When m2 Changes Jayden sets m1-1 kg,

Question

Part 1 of 6-Location of the Center of Mass When m2 Changes Jayden sets m1-1 kg, x1 = 25 cm, and X2 = 150 cm. Now he changes m2 and observes how the location of the center of mass of the system changes. What can he say happens? "As m2 increases, the location of XcM remains constant." "As m2 increases, the location of XcM shifts to the left." "As m2 increases, the location of xcM shifts first to the right, then to the left." o "As m2 increases, the location of XCM shifts to the right Jayden is correct. Imagine the two masses to be connected by a massless rod and balanced on a fulcrum. If m2 increases, to return the system to balance, the fulcrum would need to shift to the right. The point at which the system is balanced is the center of mass. Part 2 of 6-Location of the Center of Mass when m1 = m2 Now Madhur sets m11 kg, m2 - 1 kg, x125 cm, and x2 - 150 cm. How does she describe the location of the center of mass to Jayden? The center of mass lies on the x-axis at a point closer to m2 than to m1." The center of mass is inside m1." o The center of mass on the x-axis is at the point equidistant from the two masses." "The center of mass on the The center of mass lies on the x-axis at a point closer to m1 than to m2." Madhur is correct. When the two masses are equal, the center of mass is directly between the two, or 50 25) cm87.5 cm 25 cm + = 87.5 cm 2

Explanation / Answer

The location of the center of mass of the system = (45m + 210(0.75m))/(m + 0.75m) cm = 115.71 cm

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