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. G 0.1 ml 80 mm 200 mm Figure 1: Gear system 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.

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. G 0.1 ml 80 mm 200 mm Figure 1: Gear system 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.

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

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.
G
0.1 ml
80 mm 200 mm
Figure 1: Gear system
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.

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