A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 51.0 kg. m². The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and (b) the tension in the cable connected to the crate. (a) Number i (b) Number i Motor (a) Dual pulley Crate Units Units ₁0.600 m- Axis +y +T -l₂ = 0.200 m T₂ T₂ mg (b) Free-body diagram of pulley (c) Free-body diagram of crate

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A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective
pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about
the center axle, relative to which the combined moment of inertia is 51.0 kg - m². The cables roll on the dual pulley without slipping. A
tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and
(b) the tension in the cable connected to the crate.
(a) Number i
(b) Number i
Motor
(a)
Dual pulley
Crate
Units
Units
₁ = 0.600 m-
T₁
Axis
20.200 m
+X
A T₂
ay
T₂
mg
(b) Free-body diagram of pulley (c) Free-body diagram of crate
Transcribed Image Text:A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 51.0 kg - m². The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and (b) the tension in the cable connected to the crate. (a) Number i (b) Number i Motor (a) Dual pulley Crate Units Units ₁ = 0.600 m- T₁ Axis 20.200 m +X A T₂ ay T₂ mg (b) Free-body diagram of pulley (c) Free-body diagram of crate
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