17.24 The 1.5-kg uniform slender bar AB is connected to the 3-kg gear B which meshes with the stationary outer gear C. The centroidal radius of gyration of gear B is 30 mm. Knowing that the system is released from rest in the position shown, determine (a) the angular velocity of the bar as it passes through the vertical position, (b) the corresponding angular velocity of gear B.

17.24 The 1.5-kg uniform slender bar AB is connected to the 3-kg gear B which meshes with the stationary outer gear C. The centroidal radius of gyration of gear B is 30 mm. Knowing that the system is released from rest in the position shown, determine (a) the angular velocity of the bar as it passes through the vertical position, (b) the corresponding angular velocity of gear B.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

17.24 The 1.5-kg uniform slender bar AB is connected to the 3-kg gear
B which meshes with the stationary outer gear C. The centroidal radius of
gyration of gear B is 30 mm. Knowing that the system is released from rest
in the position shown, determine (a) the angular velocity of the bar as it
passes through the vertical position, (b) the corresponding angular velocity
of gear B.
- 120 mm
aff
maya
mam
50 mm
wwww
Fig. P17.24 and P17.25
B
www
C

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Step 1: Given data

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Step 2: Finding weight of the bar and gear B

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Step 3: Finding moment of inertia of rod AB and gear B

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Step 4: Calculating potential energy

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Step 5: Calculating angular velocity of gear B and rod AB

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