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course Phy 201
Balancing Dominos on a Foam Beam
A foam beam with three dominoes was balanced using a fourth domino as its fulcrum.
Insert a copy of your data here, along with any previously submitted work you wish to include:
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Unbalanced
from center to domno on single side is = 18cm
from center to first domino on opposite side is 2.7 cm and 10 cm
Positive direction is right
15000 dynes acting from each domino
Torque is positive
Tnet= F1 270,000 dynes *cm
F2 -40,500 dynes *cm
F3 -150,000 dynes *cm
SUM of Tau = +90,000 dynes *cm (NOT at equilibrium)
I= SUM mr^2
r= 15.35 cm
m=45000 dynes
I= 4.77 *E11 dynes*cm^2
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You need to calculate m r^2 for each domino separately. They are all at different distances from the fulcrum, so they all have different values of r. This makes a significant difference in the result for the moment of inertia.
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I suspect you squared the entire m * r expression, instead of squaring r then multiplying by m. The moment of inertia wil be on the order of 10^6 or 10^7 dynes * cm^2, not 10^11.
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Angular Acceleration
alpha = 90000 dynes*cm/ 4.77 E11 dynes*cm^2
alpha = 1.88 E-7 rad/sec^2
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Good, but your moment of inertia value will change (see above).
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Balanced System
Domino on left to center = 18cm
2 dominoes on the right are 3.5cm and 13.5 cm from center
Tnet= 17cm * 15000 dynes= 255,000 dynes*cm
-3.5cm * 15000 dynes = -52,500 dyens *cm
-13.5cm * 15000 dynes = -202,500
Tnet= 0cm/dynes (at equilibrium
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For the balanced system:
· Report the torque about the balancing point of each domino or domino stack.
· Report the net torque of the system about the balancing point.
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ALL ABOVE
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For the unbalanced system:
· Report the torque about the balancing point of each domino or domino stack.
· Report the net torque of the system about the balancing point.
· Report the moment of inertia of the system.
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ALL ABOVE
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What should therefore be the angular acceleration of the system?
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ALL ABOVE
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Good, but you need to correct your moment of inertia calculation and your angular acceleration. You're on the right track with that, so it shouldn't take you more than a few minutes.
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