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Which of the following statements are correct?
1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears.
2. For involute gears the pressure angle changes with change in centre distance between gears.
3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only.
4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.
- a)1, 2 and 3
- b)1, 3 and 4
- c)1, 2 and 4
- d)2, 3 and 4
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements are correct? 1. For consta...
Explanation:
1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears.
This statement is correct. In a constant velocity ratio transmission, the point of contact between the two gears remains fixed and the common normal at the point of contact passes through a fixed point on the line joining the centers of rotation of the gears. This ensures that the velocity ratio remains constant throughout the operation.
2. For involute gears, the pressure angle changes with a change in the center distance between gears.
This statement is correct. The pressure angle is the angle between the line of action and the common tangent to the pitch circles of the gears at the point of contact. In involute gears, the pressure angle is a function of the gear tooth profile and varies with the change in center distance between the gears. As the center distance changes, the contact point on the gears also changes, resulting in a change in the pressure angle.
3. The velocity ratio of a compound gear train depends upon the number of teeth of the input and output gears only.
This statement is incorrect. In a compound gear train, the velocity ratio is determined by the combination of gears and their respective number of teeth. The velocity ratio is not solely dependent on the number of teeth of the input and output gears. It is affected by the intermediate gears and their arrangement in the train.
4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.
This statement is correct. Epicyclic gear trains consist of one or more gears rotating about a central gear or axis. The central gear is usually fixed, while the other gears rotate about it. This rotation of gears about other gears or axes gives rise to the complex motion characteristics of epicyclic gear trains.
Therefore, the correct statements are:
1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centers of rotation of the gears.
2. For involute gears, the pressure angle changes with a change in the center distance between gears.
4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.
Hence, the correct answer is option C: 1, 2, and 4.
1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears.
This statement is correct. In a constant velocity ratio transmission, the point of contact between the two gears remains fixed and the common normal at the point of contact passes through a fixed point on the line joining the centers of rotation of the gears. This ensures that the velocity ratio remains constant throughout the operation.
2. For involute gears, the pressure angle changes with a change in the center distance between gears.
This statement is correct. The pressure angle is the angle between the line of action and the common tangent to the pitch circles of the gears at the point of contact. In involute gears, the pressure angle is a function of the gear tooth profile and varies with the change in center distance between the gears. As the center distance changes, the contact point on the gears also changes, resulting in a change in the pressure angle.
3. The velocity ratio of a compound gear train depends upon the number of teeth of the input and output gears only.
This statement is incorrect. In a compound gear train, the velocity ratio is determined by the combination of gears and their respective number of teeth. The velocity ratio is not solely dependent on the number of teeth of the input and output gears. It is affected by the intermediate gears and their arrangement in the train.
4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.
This statement is correct. Epicyclic gear trains consist of one or more gears rotating about a central gear or axis. The central gear is usually fixed, while the other gears rotate about it. This rotation of gears about other gears or axes gives rise to the complex motion characteristics of epicyclic gear trains.
Therefore, the correct statements are:
1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centers of rotation of the gears.
2. For involute gears, the pressure angle changes with a change in the center distance between gears.
4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.
Hence, the correct answer is option C: 1, 2, and 4.
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Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer?
Question Description
Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer?.
Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer?.
Solutions for Which of the following statements are correct? 1. For constant velocity ratio transmission between two gears, the common normal at the point of contact must always pass through a fixed point on the line joining the centres of rotation of the gears. 2. For involute gears the pressure angle changes with change in centre distance between gears. 3. The velocity ratio of compound gear train depends upon the number of teeth of the input and output gears only. 4. Epicyclic gear trains involve rotation of at least one gear axis about some other gear axis.a)1, 2 and 3 b)1, 3 and 4 c)1, 2 and 4 d)2, 3 and 4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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