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GATE Past Year Questions: Balancing & Gyroscope | Theory of Machines (TOM) - Mechanical Engineering PDF Download

Question for GATE Past Year Questions: Balancing & Gyroscope
Try yourself:The rotor of turbojet engine of an air craft has a mass 180 kg and polar moment of inertia 10 kg.m2 about the rotor axis. The rotor rotates at a constant speed of 1100 rad/s in the clockwise direction when viewed from the front of the aircraft. The aircraft while flying at a speed of 800 km per hour takes a turn with a radius of 1.5 k m to the left . The gyroscopic moment exerted by the rotor on the aircraft structure and the direction of motion of the nose when the aircraft turns, are

[2019]

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Question for GATE Past Year Questions: Balancing & Gyroscope
Try yourself:A cantilever type gate hinged at Q is shown in the figure. P and R are the centers of gravity of the cantilever part and the counterweight respectively. The mass of the cantilever part is 75 kg. The mass of the counterweight, for static balance, is​
GATE Past Year Questions: Balancing & Gyroscope | Theory of Machines (TOM) - Mechanical Engineering

[2008]

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The document GATE Past Year Questions: Balancing & Gyroscope | Theory of Machines (TOM) - Mechanical Engineering is a part of the Mechanical Engineering Course Theory of Machines (TOM).
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FAQs on GATE Past Year Questions: Balancing & Gyroscope - Theory of Machines (TOM) - Mechanical Engineering

1. What is balancing in mechanical engineering?
Balancing in mechanical engineering refers to the process of redistributing mass or forces in a rotating or reciprocating system to reduce vibration and improve performance. It ensures that the center of mass of a system is aligned with its axis of rotation or reciprocation, eliminating any unbalanced forces or moments that could cause excessive vibration or wear.
2. How is balancing achieved in rotating machinery?
Balancing in rotating machinery is achieved by adding or removing mass in specific locations to counterbalance any unbalanced forces. This can be done through static or dynamic balancing techniques. Static balancing involves adding or removing mass to achieve balance in a stationary or slow-rotating system. Dynamic balancing, on the other hand, involves measuring and analyzing the vibration of a rotating system and adding or removing mass in precise locations to achieve balance during high-speed operation.
3. What are the benefits of balancing rotating machinery?
Balancing rotating machinery offers several benefits, including reduced vibration, increased bearing life, improved machine performance, and enhanced operator safety. By minimizing vibration, balancing ensures smooth operation, reduces wear and tear on components, and prevents excessive noise. It also helps prevent premature bearing failure, which can lead to costly repairs and downtime. Additionally, balanced machinery operates more efficiently, consuming less energy and reducing operational costs.
4. What are the different methods of balancing rotating machinery?
There are two main methods of balancing rotating machinery: static balancing and dynamic balancing. Static balancing involves adding or removing mass to achieve balance in a stationary or slow-rotating system. This is typically done by adding balance weights at specific locations determined through calculations or trial and error. Dynamic balancing, on the other hand, involves measuring and analyzing the vibration of a rotating system and adding or removing mass in precise locations to achieve balance during high-speed operation. This is usually done using specialized balancing equipment.
5. What is a gyroscope in mechanical engineering?
In mechanical engineering, a gyroscope is a device used to measure or maintain orientation and angular velocity. It consists of a spinning wheel or rotor mounted on a set of gimbals, allowing it to freely rotate in any direction. When the gyroscope experiences a change in its orientation or angular velocity, it resists this change due to the principle of angular momentum. Gyroscopes are widely used in various applications, including navigation systems, robotics, aerospace engineering, and stabilization of vehicles and ships.
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