Answered: A gear system shown in Figure 1…

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

A gear system shown in Figure 1 consists of gear B and C with radii of 80 mm
and 200 mm, respectively. Gear B with a mass of 0.9 kg is free to rotate at point
A of the arm AO. The arm is free to rotate on the fixed axis O. Whereas, gear C
is fixed on the axles O in a way that it will never rotate. The arm has a mass of
0.8 kg and a radius of gyration about O of 140 mm. Moreover, the arm AO has
a center of gravity located at point G.
1.1. If the uniform torque of 4 Nm is applied to the arm OA, initially at rest in the
horizontal position, calculate the velocity of point A as it reaches the top point A’.
1.2. Use the table method to calculate the angular speed of gear B, provided that the
arm rotates at 5,118 rad/s.

Cam
100,
mm
Follower
F
E.
B
200
D
mm
Figure 2: Follower-cam mechanisms

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