An irregularly shaped object that is 10 m long is placed with each end on a scale.If the scale on the right reads $96 \mathrm {~N}$ while the scale on the left reads $71 \mathrm {~N} \text {, }$ how far from the left end is the center of mass of this object?
A)5.7 m
B)7.4 m
C)4.3 m
D)14 m

Question

Quizplus · Accepted Answer

The center of mass can be found using the formula: $ x_{cm} = \frac{F_2 \cdot L}{F_1 + F_2} $, where $ F_1 = 71 \, \text{N} $, $ F_2 = 96 \, \text{N} $, and $ L = 10 \, \text{m} $. Plugging in the values gives $ x_{cm} = \frac{96 \cdot 10}{71 + 96} = 5.7 \, \text{m} $.

An Irregularly Shaped Object That Is 10 M Long Is 96 N96 \mathrm {~N}96 N

An Irregularly Shaped Object That Is 10 M Long Is $96 \mathrm {~N}$