Explore topic-wise MCQs in Theory Machines.

This section includes 20 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.

A conical friction clutch is used to transmit 40 kW at 1300 r.p.m. The semi cone angle is 12.5° and the coefficient of friction is 0.25. If the mean diameter of the bearing surface is 400 mm and the intensity of normal pressure is not to exceed 0.2 N/mm2, find the axial spring force necessary to disengage the clutch.

A. 154.28 N
B. 121.45 N
C. 201.78 N
D. 162.39 N
Answer» E.
Discussion
2.

A conical friction clutch is used to transmit 50 kW at 1000 r.p.m. The semi cone angle is 15° and the coefficient of friction is 0.2. If the mean diameter of the bearing surface is 450 mm and the intensity of normal pressure is not to exceed 0.15 N/mm2, find the axial spring force necessary to engage the clutch.

A. 4796 N
B. 4774 N
C. 4785 N
D. 4742 N
Answer» B. 4774 N
Discussion
3.

A conical friction clutch is used to transmit 75 kW at 1500 r.p.m. The semi cone angle is 20° and the coefficient of friction is 0.3. If the mean diameter of the bearing surface is 500 mm and the intensity of normal pressure is not to exceed 0.1 N/mm2, find the dimensions of the conical bearing surface.

A. 118.07 mm, 131.93 mm
B. 131.93 mm, 118.07 mm
C. 121.72 mm, 128.28 mm
D. 128.28 mm, 121.72 mm
Answer» C. 121.72 mm, 128.28 mm
Discussion
4.

If the outer and inner radius of the contact surfaces are 100 mm and 75 mm respectively and the semi cone angle is 22.5°, find the value of the face width required.

A. 89.43 mm
B. 78.94 mm
C. 65.33 mm
D. 23.87 mm
Answer» D. 23.87 mm
Discussion
5.

In a conical clutch, the mean radius of the bearing surface is 300 mm whereas the breadth is 20 mm. Find the inner and outer radii. The semi cone angle is 30°.

A. 145 mm, 155 mm
B. 140 mm, 160 mm
C. 160 mm, 140 mm
D. 155 mm, 145 mm
Answer» E.
Discussion
6.

In a conical clutch, the breadth of the contact surface is given by ______

A. (r1 + r2)/sinα
B. (r2-r1)/sinα
C. (r1 – r2)/sinα
D. (r12 + r22)/sinα
Answer» D. (r12 + r22)/sinα
Discussion
7.

In a conical clutch, considering uniform wear, T = nµWR. What is R equal to?

A. {2(r13 + r23) / 3(r12 + r22)} x cosec α
B. {2(r13 – r23) / 3(r12 – r22)} x cosec α
C. {(r1 – r2)/2} x cosec α
D. {(r1 + r2)/2} x cosec α
Answer» E.
Discussion
8.

In a conical clutch, considering uniform pressure, T = nµWR. What is R equal to?

A. {2(r13 + r23) / 3(r12 + r22)} x cosec α
B. {2(r13 – r23) / 3(r12 – r22)} x cosec α
C. {(r1 – r2)/2} x cosec α
D. {(r1 + r2)/2} x cosec α
Answer» C. {(r1 – r2)/2} x cosec α
Discussion
9.

Identify the given clutch.

A. Single plate
B. Multi plate
C. Conical
D. Centrifugal
Answer» D. Centrifugal
Discussion
10.

IF_THE_OUTER_AND_INNER_RADIUS_OF_THE_CONTACT_SURFACES_ARE_100_MM_AND_75_MM_RESPECTIVELY_AND_THE_SEMI_CONE_ANGLE_IS_22.5¬¨ àû,_FIND_THE_VALUE_OF_THE_FACE_WIDTH_REQUIRED.?$#

A. 89.43 mm
B. 78.94 mm
C. 65.33 mm
D. 23.87 mm
Answer» D. 23.87 mm
Discussion
11.

IN_A_CONICAL_CLUTCH,_THE_MEAN_RADIUS_OF_THE_BEARING_SURFACE_IS_300_MM_WHEREAS_THE_BREADTH_IS_20_MM._FIND_THE_INNER_AND_OUTER_RADII._THE_SEMI_CONE_ANGLE_IS_30¬¨ àû.?$#

A. 145 mm, 155 mm
B. 140 mm, 160 mm
C. 160 mm, 140 mm
D. 155 mm, 145 mm
Answer» E.
Discussion
12.

A conical friction clutch is used to transmit 50 kW at 1000 r.p.m. The semi cone angle is 15° and the coefficient of friction is 0.2. If the mean diameter of the bearing surface is 450 mm and the intensity of normal pressure is not to exceed 0.15 N/mm2, find the axial spring force necessary to engage the clutch.$#

A. 4796 N
B. 4774 N
C. 4785 N
D. 4742 N
Answer» B. 4774 N
Discussion
13.

A conical friction clutch is used to transmit 75 kW at 1500 r.p.m. The semi cone angle is 20° and the coefficient of friction is 0.3. If the mean diameter of the bearing surface is 500 mm and the intensity of normal pressure is not to exceed 0.1 N/mm2, find the dimensions of the conical bearing surface.$#

A. 118.07 mm, 131.93 mm
B. 131.93 mm, 118.07 mm
C. 121.72 mm, 128.28 mm
D. 128.28 mm, 121.72 mm
Answer» C. 121.72 mm, 128.28 mm
Discussion
14.

A conical friction clutch is used to transmit 40 kW at 1300 r.p.m. The semi cone angle is 12.5° and the coefficient of friction is 0.25. If the mean diameter of the bearing surface is 400 mm and the intensity of normal pressure is not to exceed 0.2 N/mm2, find the axial spring force necessary to disengage the clutch.$

A. 154.28 N
B. 121.45 N
C. 201.78 N
D. 162.39 N
Answer» E.
Discussion
15.

In a conical clutch, the breadth of the contact surface is given by _____?

A. (r<sub>1</sub> + r<sub>2</sub>)/sinα
B. (r<sub>2</sub>-r<sub>1</sub>)/sinα
C. (r<sub>1</sub> – r<sub>2</sub>)/sinα
D. (r<sub>1</sub><sup>2</sup> + r<sub>2</sub><sup>2</sup>)/sinα
Answer» D. (r<sub>1</sub><sup>2</sup> + r<sub>2</sub><sup>2</sup>)/sin‚âà√≠¬¨¬±
Discussion
16.

In a conical clutch, what is the axial force required for disengaging the clutch (Wd)?

A. W<sub>n</sub>(µcosα + sinα)
B. W<sub>n</sub>(µcosα – sinα)
C. W<sub>n</sub>(cosα – µsinα)
D. W<sub>n</sub>(cosα + µsinα)
Answer» C. W<sub>n</sub>(cos‚âà√≠¬¨¬± ‚Äö√Ñ√∂‚àö√ë‚àö¬® ¬¨¬®¬¨¬µsin‚âà√≠¬¨¬±)
Discussion
17.

In a conical clutch, what is the axial force required for engaging the clutch (We)?

A. W<sub>n</sub> (sin α + µ cos α)
B. W<sub>n</sub> (sin α – µ cos α)
C. W<sub>n</sub> (µ sin α + cos α)
D. W<sub>n</sub> (µ sin α – cos α)
Answer» B. W<sub>n</sub> (sin ‚âà√≠¬¨¬± ‚Äö√Ñ√∂‚àö√ë‚àö¬® ¬¨¬®¬¨¬µ cos ‚âà√≠¬¨¬±)
Discussion
18.

In a conical clutch, considering uniform pressure, T = nµWR. What is R equal to?$

A. {2(r<sub>1</sub><sup>3</sup> + r<sub>2</sub><sup>3</sup>) / 3(r<sub>1</sub><sup>2</sup> + r<sub>2</sub><sup>2</sup>)} x cosec α
B. {2(r<sub>1</sub><sup>3</sup> – r<sub>2</sub><sup>3</sup>) / 3(r<sub>1</sub><sup>2</sup> – r<sub>2</sub><sup>2</sup>)} x cosec α
C. {(r<sub>1</sub> – r<sub>2</sub>)/2} x cosec α
D. {(r<sub>1</sub> + r<sub>2</sub>)/2} x cosec α
Answer» C. {(r<sub>1</sub> ‚Äö√Ñ√∂‚àö√ë‚àö¬® r<sub>2</sub>)/2} x cosec ‚âà√≠¬¨¬±
Discussion
19.

In a conical clutch, the formula for T is given by ______

A. n.µ.W.R
B. n.µ.W.r<sub>1</sub>
C. n.µ.W.r<sub>2</sub>
D. n.µ.W.(r<sub>1</sub>+r<sub>2</sub>)
Answer» B. n.¬¨¬®¬¨¬µ.W.r<sub>1</sub>
Discussion
20.

In a conical clutch, pn = ______________

A. W/(π(r<sub>1</sub><sup>2</sup> – r<sub>2</sub><sup>2</sup>))
B. W/(π(r<sub>1</sub><sup>2</sup> + r<sub>2</sub><sup>2</sup>))
C. W/(π(r<sub>2</sub><sup>2</sup> – r<sub>1</sub><sup>2</sup>))
D. W/(π(r<sub>2</sub><sup>2</sup> x r<sub>1</sub><sup>2</sup>))
Answer» B. W/(‚âà√¨‚àö√ë(r<sub>1</sub><sup>2</sup> + r<sub>2</sub><sup>2</sup>))
Discussion