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Which of the following curves are used for the design of gear tooth profile of a dial gauge?

Which of the following curves are used for the design of gear tooth profile of a dial gauge? Correct Answer Cycloidal curves

For designing of gear tooth profiles of the dial gauge, basically we use cycloidal curves which are the paths traced by a fixed point on the circumference of a circle rolling on a fixed straight line or a circle without slipping.

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Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?
Indifference curves relating to supply of labour have a number of properties some of which are mentioned below
1. Indifference curves are downward slopping
2. Indifference curves are upward slopping
3. Higher indifference curves indicate lower levels of utility
4. Higher indifference curves indicate higher levels of utility
5. Indifference curves do not intersect
6. Indifference curves intersect
7. Indifference curves are concave to the origin
8. Indifference curves are convex to the origin
Which among the following properties are not true?
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Consider the following statements regarding gear tooth designing for gear drive: 1. Tooth profiles not designed as per ‘law of gearing’ will cause vibration and impact problems even at low speed. 2. As the gears go through their mesh, the pitch point must remain stationary on the line of centres. 3. In a correctly designed tooth profile, the line of action of successive instantaneous points of contact will pass through the stationary pitch point. Which of the above statements are correct?
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1st gear - 4.3 : 1
2nd gear - 3.00 : 1
3rd gear - 2.71 : 1
4th gear - 1 : 1
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The overall reduction when the vehicle is driven in 2nd gear is
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