Question
Asked Apr 1, 2019
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  1. The combined moment of inertia of the dual pulley is 52.0 kg·m2.  The crate weighs 4650 N.  A tension of 2150 N is maintained in the cable attached to the motor.  Find the angular acceleration of the dual pulley.
+x
Dual pulley
Motor
10.600 m
20.200m
Axis
mg
Crate
(b) Free-body diagram of pulley
(c) Free-body diagram of crate
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+x Dual pulley Motor 10.600 m 20.200m Axis mg Crate (b) Free-body diagram of pulley (c) Free-body diagram of crate

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Expert Answer

Step 1

Given: Moment of inertia, I = 52 kg.m2

              Crate weight, W = mg = 4650 N

               Tension, T1 = 2150 N

                                  l1 = 0.600 m

                                  l2 = 0.200 m

Find: The angular acceleration of the dual pulley

Step 2

From 2nd law of linear motion of crate: 

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Step 3

From 2nd law of rotatio...

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