Problem: (a) Find the  x-coordinate  xcm  of the system's center of mass. Give your answer in terms of  m1,  m2,  x1, and x2.A. xcm = (m1 + m2)/2B. xcm = (m1x1 + m2x2)/(m1 + m2)C. xcm = (m1x1 + m2x2)/(x1 + x2)D. (x1 + x2)/2E. xcm = (m1x1 × m2x2)/(m1 × m2)F. xcm = (m1x1 × m2x2)/(x1 × x2)(b) If  m2  &gt;&gt;  m1 , then the center of mass is located:A. Left of  m1  at a distance much greater than  x2 - x1.B. Left of  m1  at a distance much less than  x2 - x1.C. Right of  m1 at a distance much less than  x2 - x1.D. Right of  m2 at a distance much greater than  x2 - x1.E. Right of  m2 at a distance much less than  x2 - x1.F. Left of  m2 at a distance much less than  x2 - x1.

FREE Expert Solution
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FREE Expert Solution

(a) The center of mass of a system is given by:

$\overline{){\mathbf{x}}{\mathbf{=}}\frac{{\mathbf{m}}_{\mathbf{1}}{\mathbf{x}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}{\mathbf{x}}_{\mathbf{2}}}{{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}}}$

90% (411 ratings)
Problem Details

(a) Find the  x-coordinate  xcm  of the system's center of mass. Give your answer in terms of  m1,  m2,  x1, and x2.

A. xcm = (m1 + m2)/2

B. xcm = (m1x1 + m2x2)/(m1 + m2)

C. xcm = (m1x1 + m2x2)/(x1 + x2)

D. (x1 + x2)/2

E. xcm = (m1x1 × m2x2)/(m1 × m2)

F. xcm = (m1x1 × m2x2)/(x1 × x2)

(b) If  m2  >>  m1 , then the center of mass is located:

A. Left of  m1  at a distance much greater than  x2 - x1.
B. Left of  m1  at a distance much less than  x2 - x1.
C. Right of  m1 at a distance much less than  x2 - x1.
D. Right of  m2 at a distance much greater than  x2 - x1.
E. Right of  m2 at a distance much less than  x2 - x1.
F. Left of  m2 at a distance much less than  x2 - x1

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Center of Mass concept. You can view video lessons to learn Intro to Center of Mass Or if you need more Intro to Center of Mass practice, you can also practice Intro to Center of Mass practice problems .

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Shindler's class at MSU.