3. To determine the location of his center of mass, a physics student lies on a
ID: 1504777 • Letter: 3
Question
3. To determine the location of his center of mass, a physics student lies on a lightweight plank supported by two scales L = 2.60 m apart
(a) If the left scale reads 284 N, and the right scale reads 133 N, find the student's mass.
42.55 kg (Correct)
(b) Find the distance from the student's head to his center of mass.
________ m
Explanation / Answer
a) F1+F2-mg=0, then
m = (F1+F2)/g = 48.7258 kg
students weight = 284 + 133 = 417N
mass = 417/9.8 = 42.55kg
b) take moments at 284 end
-F1 * L / 2 + F2 *L / 2 + m g x = 0
x = (F2-F1) L / (2 m g) = (F2-F1) L / (2(F1+F2))
133N x 2.6m = 345.8N x L
L = 1m.
So C of G is 1m from head end
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