Mechanical Engineering Exam > Mechanical Engineering Questions > Consider the following statements regarding i...
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Consider the following statements regarding involute gears:
- Pressure angle is constant throughout the engagement
- Interference is inherently absent
- Common tangent to two base circle passes through pitch point
Which of the above statements are CORRECT?
- a)1 and 2 only
- b)2 and 3 only
- c)1 and 3 only
- d)All of the above
Correct answer is option 'C'. Can you explain this answer?
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Consider the following statements regarding involute gears: Pressure a...
Interference is inherently absent in cycloidal gears but not in involute gears.
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Consider the following statements regarding involute gears: Pressure a...
Statement 1: Pressure angle is constant throughout the engagement
The pressure angle is the angle between the line of action and the common tangent to the pitch circles of the mating gears at the point of contact. In involute gears, the pressure angle remains constant throughout the engagement. This means that the angle at which the teeth of the gears come into contact with each other does not change as the gears rotate. Therefore, statement 1 is correct.
Statement 2: Interference is inherently absent
Interference occurs when the teeth of the mating gears collide or overlap, causing the gears to jam or malfunction. In involute gears, interference is inherently absent. This is because the involute tooth profile ensures that the teeth do not interfere with each other during the engagement. The shape of the involute curve allows for smooth and continuous contact between the teeth, eliminating the possibility of interference. Therefore, statement 2 is correct.
Statement 3: Common tangent to two base circles passes through pitch point
The base circle is a theoretical circle from which the involute curve is derived. The pitch point is the point of contact between the mating gears along the line of action. In involute gears, the common tangent to the two base circles passes through the pitch point. This means that the line connecting the points of tangency between the base circles and the line of action passes through the pitch point. This property ensures that the gears mesh properly and transmit motion smoothly. Therefore, statement 3 is correct.
Therefore, all of the above statements (1, 2, and 3) are correct.
The pressure angle is the angle between the line of action and the common tangent to the pitch circles of the mating gears at the point of contact. In involute gears, the pressure angle remains constant throughout the engagement. This means that the angle at which the teeth of the gears come into contact with each other does not change as the gears rotate. Therefore, statement 1 is correct.
Statement 2: Interference is inherently absent
Interference occurs when the teeth of the mating gears collide or overlap, causing the gears to jam or malfunction. In involute gears, interference is inherently absent. This is because the involute tooth profile ensures that the teeth do not interfere with each other during the engagement. The shape of the involute curve allows for smooth and continuous contact between the teeth, eliminating the possibility of interference. Therefore, statement 2 is correct.
Statement 3: Common tangent to two base circles passes through pitch point
The base circle is a theoretical circle from which the involute curve is derived. The pitch point is the point of contact between the mating gears along the line of action. In involute gears, the common tangent to the two base circles passes through the pitch point. This means that the line connecting the points of tangency between the base circles and the line of action passes through the pitch point. This property ensures that the gears mesh properly and transmit motion smoothly. Therefore, statement 3 is correct.
Therefore, all of the above statements (1, 2, and 3) are correct.
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Consider the following statements regarding involute gears: Pressure angle is constant throughout the engagement Interference is inherently absent Common tangent to two base circle passes through pitch pointWhich of the above statements are CORRECT?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)All of the aboveCorrect answer is option 'C'. Can you explain this answer?
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