MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Drawing knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
How many numbers of cusps the epicycloid has if the radius of the rolling circle is 3 and the radius of the direct circle is 5? |
| A. | 15 |
| B. | 3 |
| C. | 5 |
| D. | 5/3 |
| Answer» D. 5/3 | |
| 2. |
How many numbers of cusps the epicycloid has if the radius of the rolling circle is 10 and the radius of a direct circle is 20? |
| A. | 20 |
| B. | 2 |
| C. | 10 |
| D. | 10/20 |
| Answer» C. 10 | |
| 3. |
What will be the hypocycloid when the radius of the rolling circle is half the radius of the direct circle? |
| A. | A straight line equal to the length of the diameter of the direct circle |
| B. | A semicircle with a radius equal to the direct circle |
| C. | A semicircle with a radius equal to the rolling circle |
| D. | A straight line equal to the length of the diameter of the rolling circle |
| Answer» B. A semicircle with a radius equal to the direct circle | |
| 4. |
Two circles of radius R and r, where the circle with radius r having a fixed point roll inside the circle with radius R along its circumference forming hypocycloid. What is the equation of epicycloid in Y(θ)? |
| A. | Y(θ) = (R+r)sin(θ)-rsin(\(\frac{R+r}{r}\) θ) |
| B. | Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R+r}{r}\) θ) |
| C. | Y(θ) = (R-r)sin(θ)-rsin(\(\frac{R-r}{r}\) θ) |
| D. | Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R-r}{r}\) θ) |
| Answer» D. Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R-r}{r}\) θ) | |
| 5. |
Two circles of radius R and r, where the circle with radius r having a fixed point roll inside the circle with radius R along its circumference forming epicycloid. What is the equation of hypocycloid in X(θ)? |
| A. | X(θ) = (R-r)cos(θ)-rcos(\(\frac{R-r}{r}\) θ) |
| B. | X(θ) = (R+r)cos(θ)+rcos(\(\frac{R+r}{r}\) θ) |
| C. | X(θ) = (R-r)cos(θ)+rcos(\(\frac{R-r}{r}\) θ) |
| D. | X(θ) = (R+r)cos(θ)-rcos(\(\frac{R-r}{r}\) θ) |
| Answer» D. X(θ) = (R+r)cos(θ)-rcos(\(\frac{R-r}{r}\) θ) | |
| 6. |
If the radius of a rolling circle is r and radius of a direct circle is R. And R = kr and K is a rational number p/q, how many cusps does the epicycloid? |
| A. | R-r |
| B. | q |
| C. | p |
| D. | r/k |
| Answer» D. r/k | |
| 7. |
If the radius of a rolling circle is r and radius of a direct circle is R. And R = kr and K is an integer, how many cusps does the epicycloid? |
| A. | R-r |
| B. | 1 |
| C. | k |
| D. | r/k |
| Answer» D. r/k | |
| 8. |
Two circles of radius R and r, where the circle with radius r having a fixed point roll outside the circle with radius R along its circumference forming epicycloid. What is the equation of epicycloid in Y(θ)? |
| A. | Y(θ) = (R+r)sin(θ)-rsin(\(\frac{R+r}{r}\) θ) |
| B. | Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R+r}{r}\) θ) |
| C. | Y(θ) = (R-r)sin(θ)-rsin(\(\frac{R+r}{r}\) θ) |
| D. | Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R-r}{r}\) θ) |
| Answer» B. Y(θ) = (R+r)cos(θ)+rsin(\(\frac{R+r}{r}\) θ) | |
| 9. |
Two circles of radius R and r, where the circle with radius r having a fixed point roll outside the circle with radius R along its circumference forming epicycloid. What is the equation of epicycloid in X(θ)? |
| A. | X(θ) = (R+r)cos(θ)-rcos(\(\frac{R+r}{r}\) θ) |
| B. | X(θ) = (R+r)cos(θ)+rcos(\(\frac{R+r}{r}\) θ) |
| C. | X(θ) = (R-r)cos(θ)-rcos(\(\frac{R+r}{r}\) θ) |
| D. | X(θ) = (R+r)cos(θ)-rcos(\(\frac{R-r}{r}\) θ) |
| Answer» B. X(θ) = (R+r)cos(θ)+rcos(\(\frac{R+r}{r}\) θ) | |
| 10. |
For the cycloidal curves, the normal passes through which of the following? |
| A. | Through the center of generating circle |
| B. | Through the center of direct circle |
| C. | Through the point of contact of the generating and direct circle |
| D. | Through the midpoint of the direct line |
| Answer» D. Through the midpoint of the direct line | |
| 11. |
Which of the following equation represents the cycloid curve? |
| A. | Y = a(1-sinθ) |
| B. | X = (θ-cosθ) |
| C. | Y = a(1-cosθ) |
| D. | Y = (1-cosθ) |
| Answer» D. Y = (1-cosθ) | |
| 12. |
A curve rolling on another curve is called _____ in general. |
| A. | Trochoid |
| B. | Epicycloid |
| C. | Roulette |
| D. | Hypocycloid |
| Answer» D. Hypocycloid | |
| 13. |
In the design of gears tooth profile, we use cycloidal curves. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 14. |
The generating circle rolls on a circle called ________ to form the cycloidal curves. |
| A. | Second circle |
| B. | Rolling circle |
| C. | Slipping circle |
| D. | Direct circle |
| Answer» E. | |
| 15. |
In the formation of the cycloidal curves, the circle which rolls with a fixed point without slipping is called _____________ |
| A. | Generating circle |
| B. | Rolling circle |
| C. | Slipping circle |
| D. | Direct circle |
| Answer» B. Rolling circle | |