(1 point) THE PROBLEM Your hamster is sitting in a hamster wheel, which is attac
ID: 1794022 • Letter: #
Question
(1 point) THE PROBLEM Your hamster is sitting in a hamster wheel, which is attached to the wall. The wheel is rocking gently back and forth with a period of T=1 s. The mass of the wheel is m -26 g and it has radius r-14 cm. We can neglect the mass of the wheel's spokes, so all of the wheel's mass is in its outer ring. Calculate the mass of your hamster. PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished your paper solution already? eyes o no INTERPRET DEVELOP Deive an algebraic expression for the mass of your hamster. m Hamny EVALUATE ASSESS Note. in ordier to et credlit for this nrohlem all answers must he corrertExplanation / Answer
T = 1 s
mass of wheel, m = 26 g
r = 14 cm
mass of hamster = M
now moment of inertia of this physical pendulum = I
I = Mr^2 + mr^2 = 0.0005096 + 0.0196M kg m^2
hence
T = 2*pi*sqroot(I/(M + m)gh)
now, center of mass from the center of rotation distance is h
hecne for this case
M*r = (M + m)*h
h = 0.14M/(0.026 + M)
0.02533 = (0.0005096 + 0.0196M)/9.81*0.14M
hence
M = 33.5514166 grams
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