All parts! A long thin rod of length L and mass M is connected to a hoop of mass M and radius L/2 to form a spoked wheel as shown in the figure below. The wheel is mounted to a fixed axle (frictionless) and can spin about an axis through the center of the wheel and perpendicular to plane of the wheel. Several turns of a light rope are wrapped around the wheel and a mass M is attached to the rope. Use this information to answer the next 3 questions. 1. What is the moment of inertia of the wheel about the rotation axis? (ML^2)/2 (ML^2/6) (ML^2/4) (ML^2)/12 (ML^2)/3 (3ML^2)/20 2. The mass is released from rest and falls downward. What is the tension in the rope as the mass falls? T = (Mg)/4 T = (Mg)/2 T = (2Mg)/3 T = (2Mg)/5 T = (4Mg)/7 T = (3Mg)/8 3. What is the angular acceleration of the wheel as the mass falls? a = (5g)/(4L) a = (6g)/(5L) a = g/L a = (6g)/(7L) a = (3g)/(2L) a = (2g)/(3L)
All parts!
A long thin rod of length L and mass M is connected to a hoop of mass M and radius L/2 to form a spoked wheel as shown in the figure below. The wheel is mounted to a fixed axle (frictionless) and can spin about an axis through the center of the wheel and perpendicular to plane of the wheel. Several turns of a light rope are wrapped around the wheel and a mass M is attached to the rope. Use this information to answer the next 3 questions.
1. What is the moment of inertia of the wheel about the rotation axis?
(ML^2)/2
(ML^2/6)
(ML^2/4)
(ML^2)/12
(ML^2)/3
(3ML^2)/20
2. The mass is released from rest and falls downward. What is the tension in the rope as the mass falls?
T = (Mg)/4
T = (Mg)/2
T = (2Mg)/3
T = (2Mg)/5
T = (4Mg)/7
T = (3Mg)/8
3. What is the
a = (5g)/(4L)
a = (6g)/(5L)
a = g/L
a = (6g)/(7L)
a = (3g)/(2L)
a = (2g)/(3L)
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