4.2 Three point masses lie at the corners of an equilateral triangle whose sides have length 1.00 m. A 5.00 kg mass is located at the origin of the coordinate system, a 10.0 kg mass lies on the positive x-axis, and a 15.0 kg mass is in the first quadrant of the xy-plane. (a) Calculate the coordinates of the center-of-mass (CM) of the system. (b) How far is the CM from the origin, and what angle does it make with respect to the x-axis?

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4.2 Three point masses lie at the corners of an equilateral triangle whose sides have length 1.00 m.
A 5.00 kg mass is located at the origin of the coordinate system, a 10.0 kg mass lies on the positive
x-axis, and a 15.0 kg mass is in the first quadrant of the xy-plane.
(a) Calculate the coordinates of the center-of-mass (CM) of the system.
(b) How far is the CM from the origin, and what angle does it make with respect to the x-axis?
Transcribed Image Text:4.2 Three point masses lie at the corners of an equilateral triangle whose sides have length 1.00 m. A 5.00 kg mass is located at the origin of the coordinate system, a 10.0 kg mass lies on the positive x-axis, and a 15.0 kg mass is in the first quadrant of the xy-plane. (a) Calculate the coordinates of the center-of-mass (CM) of the system. (b) How far is the CM from the origin, and what angle does it make with respect to the x-axis?
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Step 1

Given,

 masses m1, m2 and m3 at the corners of an equilateral triangle

 Sides of equilateral triangle= 1 m

 Physics homework question answer, step 1, image 1

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