Explore topic-wise MCQs in Theory Machines.

This section includes 17 Mcqs, each offering curated multiple-choice questions to sharpen your Theory Machines knowledge and support exam preparation. Choose a topic below to get started.

1.

The pressure angle of two gears in a mesh is φ = 35°. The number of teeth on the pinion is 20. The module is 10 mm and the addendum is 1 module. Find the path of recess of these gears.

A. 34.213 mm
B. 23.328 mm
C. 16.058 mm
D. 32.091 mm
Answer» D. 32.091 mm
Discussion
2.

The pressure angle of two gears in a mesh is φ = 15°. The number of teeth on the larger gear is 50. The module is 4 mm. The addendum is equal to be 1.25 module. Find the path of approach of these gears.

A. 39.211 mm
B. 15.287 mm
C. 31.092 mm
D. 21.122 mm
Answer» C. 31.092 mm
Discussion
3.

The pressure angle of two gears in a mesh is φ = 25°. The number of teeth on the pinion is 25 and the number of teeth on the gear is 70. The module is given to be 10 mm. The addendum is 1.1 times the module. Find the path of approach and path of contact of these gears.

A. 24.421 mm, 22.417 mm
B. 22.417 mm, 24.421 mm
C. 26.407 mm, 20.431 mm
D. 20.431 mm, 26.407 mm
Answer» B. 22.417 mm, 24.421 mm
Discussion
4.

The pressure angle of two gears in a mesh is φ = 20°. The gear ratio is 3 and the number of teeth on the pinion is 20. The module is given to be 8 mm. The addendum is one module. Find the path of contact of these two gears.

A. 21.324 mm
B. 12.543 mm
C. 56.343 mm
D. 39.458 mm
Answer» E.
Discussion
5.

Two gears in a mesh have 45 teeth each and the module is 5 mm. The pressure angle is given to be φ = 15°. The addendum is equal to 1 module. Find the path of contact.

A. 31.159 mm
B. 48.201 mm
C. 34. 356 mm
D. 42.543 mm
Answer» B. 48.201 mm
Discussion
6.

Find the path of contact if r = 20 mm, ra= 25 mm, R = 50 mm, Ra = 55 mm and φ = 20°.

A. 11.836 mm
B. 21.135 mm
C. 69.018 mm
D. 36.046 mm
Answer» C. 69.018 mm
Discussion
7.

In the given diagram identify the path of contact.

A. CD
B. AB
C. FE
D. BP
Answer» B. AB
Discussion
8.

THE_PRESSURE_ANGLE_OF_TWO_GEARS_IN_A_MESH_IS_‚ÂÀ√¨‚ÀÖ√∫_=_25¬¨¬®‚ÄÖ√†√ª._THE_NUMBER_OF_TEETH_ON_THE_PINION_IS_25_AND_THE_NUMBER_OF_TEETH_ON_THE_GEAR_IS_70._THE_MODULE_IS_GIVEN_TO_BE_10_MM._THE_ADDENDUM_IS_1.1_TIMES_THE_MODULE._FIND_THE_PATH_OF_APPROACH_AND_PATH_OF_CONTACT_OF_THESE_GEARS.?$#

A. 24.421 mm, 22.417 mm
B. 22.417 mm, 24.421 mm
C. 26.407 mm, 20.431 mm
D. 20.431 mm, 26.407 mm
Answer» B. 22.417 mm, 24.421 mm
Discussion
9.

The pressure angle of two gears in a mesh is φ = 35°. The number of teeth on the pinion is 20. The module is 10 mm and the addendum is 1 module. Find the path of recess of these gears.$#

A. 34.213 mm
B. 23.328 mm
C. 16.058 mm
D. 32.091 mm
Answer» D. 32.091 mm
Discussion
10.

The_pressure_angle_of_two_gears_in_a_mesh_is_φ_=_15°._The_number_of_teeth_on_the_larger_gear_is_50._The_module_is_4_mm._The_addendum_is_equal_to_be_1.25_module._Find_the_path_of_approach_of_these_gears.$#

A. 39.211 mm
B. 15.287 mm
C. 31.092 mm
D. 21.122 mm
Answer» C. 31.092 mm
Discussion
11.

The pressure angle of two gears in a mesh is φ = 20°. The gear ratio is 3 and the number of teeth on the pinion is 20. The module is given to be 8 mm. The addendum is one module. Find the path of contact of these two gears?#

A. 21.324 mm
B. 12.543 mm
C. 56.343 mm
D. 39.458 mm
Answer» E.
Discussion
12.

Two gears in a mesh have 45 teeth each and the module is 5 mm. The pressure angle is given to be φ = 15°. The addendum is equal to 1 module. Find the path of contact.$

A. 31.159 mm
B. 48.201 mm
C. 34. 356 mm
D. 42.543 mm
Answer» B. 48.201 mm
Discussion
13.

To avoid interference what is the maximum length of the path of approach?

A. Rsinφ
B. rsinφ
C. Rcosφ
D. rcosφ
Answer» C. Rcos‚âà√¨‚àö√∫
Discussion
14.

What is the formula for the path of approach?

A. (R<sub>a</sub><sup>2</sup> – R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> – Rsinφ
B. (R<sub>a</sub><sup>2</sup> + R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + Rcosφ
C. (R<sub>a</sub><sup>2</sup> + R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + Rsinφ
D. (R<sub>a</sub><sup>2</sup> + R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> – Rcosφ
Answer» B. (R<sub>a</sub><sup>2</sup> + R<sup>2</sup>cos<sup>2</sup> ‚âà√¨‚àö√∫)<sup>0.5</sup> + Rcos‚âà√¨‚àö√∫
Discussion
15.

Find the path of contact if r = 20 mm, ra= 25 mm, R = 50 mm, Ra = 55 mm and φ = 20°.$

A. 11.836 mm
B. 21.135 mm
C. 69.018 mm
D. 36.046 mm
Answer» C. 69.018 mm
Discussion
16.

The condition which must be fulfilled by two gear tooth profiles to maintain a constant angular velocity ratio between them is called __________________

A. arc of contact
B. path of contact
C. law of gearing
D. interference
Answer» D. interference
Discussion
17.

The formula to calculate path of contact is ______________________

A. (R<sub>a</sub><sup>2</sup> + R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + (r<sub>a</sub><sup>2</sup> + r<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> – (R+r)sin φ
B. (R<sub>a</sub><sup>2</sup> – R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + (r<sub>a</sub><sup>2</sup> – r<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + (R+r)sin φ
C. (R<sub>a</sub><sup>2</sup> – R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + (r<sub>a</sub><sup>2</sup> – r<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> – (R+r)sin φ
D. (R<sub>a</sub><sup>2</sup> – R<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> + (r<sub>a</sub><sup>2</sup> – r<sup>2</sup>cos<sup>2</sup> φ)<sup>0.5</sup> – (R-r)sin φ
Answer» D. (R<sub>a</sub><sup>2</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® R<sup>2</sup>cos<sup>2</sup> ‚âà√¨‚àö√∫)<sup>0.5</sup> + (r<sub>a</sub><sup>2</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® r<sup>2</sup>cos<sup>2</sup> ‚âà√¨‚àö√∫)<sup>0.5</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® (R-r)sin ‚âà√¨‚àö√∫
Discussion