During testing of a thresher, torque is recorded at 600 rpm at...

Q.1

ICAR AIEEA PG 2024 - Agricultural Engineering and Technology (Q.23)

MCQ (Single Correct) +4 −1

A ball and socket forms a:

बॉल और सॉकेट जोड़ (ball and socket joint) किसका निर्माण करता है?

Turning pair टर्निंग युग्म (घूर्णन युग्म) Rolling pair रोलिंग युग्म (बेलन युग्म) Screw pair स्क्रू युग्म Spherical pair स्फेरिकल युग्म (गोलीय युग्म)

Q.2

ICAR AIEEA PG 2024 - Agricultural Engineering and Technology (Q.52)

MCQ (Single Correct) +4 −1

A pair of straight teeth spur gears is transmitting power at 600 rpm and the pinion has 21 standard full depth involute teeth of module 7 mm. The pitch line velocity of the pinion is:

सीधे दांतों वाले स्पर गियर्स का एक युग्म 600 rpm पर शक्ति संचारित कर रहा है और पिनियन में 7 मिमी मॉड्यूल के 21 मानक पूर्ण गहराई वाले इनवोल्यूट दांत हैं। पिनियन का पिच लाइन वेग (pitch line velocity) क्या है?

09 m/s 09 m/s 22 m/s 22 m/s 32 m/s 32 m/s 62 m/s 62 m/s

Q.3

ICAR AIEEA PG 2024 - Agricultural Engineering and Technology (Q.58)
MCQ (Single Correct) +4 −1

English हिन्दी

During testing of a thresher, \(100\text{ N}\cdot\text{m}\) torque is recorded at 600 rpm at the main shaft of threshing cylinder. The diameter of threshing cylinder is 140 mm. The cylinder is operated by a V-pulley and unit mass of v-belt is \(1.0\text{ kg}\cdot\text{m}^{-1}\). What will be the maximum tension in the v-belt at the condition of maximum power transmission?

एक थ्रेशर के परीक्षण के दौरान थ्रेशिंग सिलेंडर के मुख्य शाफ्ट पर 600 rpm पर \(100\text{ N}\cdot\text{m}\) टॉर्क दर्ज किया जाता है। थ्रेशिंग सिलेंडर का व्यास 140 मिमी है। सिलेंडर एक V-पुली द्वारा संचालित होता है और V-बेल्ट का इकाई द्रव्यमान \(1.0\text{ kg/m}\) है। अधिकतम शक्ति संचरण की स्थिति में V-बेल्ट में अधिकतम तनाव (maximum tension) क्या होगा?

1429 N 1429 N Correct Incorrect 714 N 714 N Correct Incorrect 58 N 58 N Correct Incorrect 19 N 19 N Correct Incorrect

EXPLANATION Theory of Machines: Kinematics, Mechanisms, Gear Trains, Belts, Cams and Governors

In belt drive design and power transmission theory:
At the condition of maximum power transmission, the centrifugal tension (
\(T_c\)) equals one-third of the maximum permissible tension (\(T_{\max}\)): \[ T_c = m v^2 = \frac{1}{3} T_{\max} \implies T_{\max} = 3 T_c = 3 m v^2 \]
Cylinder/pulley radius
\(r = \frac{140\text{ mm}}{2} = 70\text{ mm} = 0.07\text{ m}\). Belt velocity \(v\): \[ v = \frac{\pi D N}{60} = \frac{\pi \times 0.14 \times 600}{60} = 1.4 \pi \approx 4.398\text{ m/s} \]
Centrifugal tension:
\[ T_c = m v^2 = 1.0\text{ kg/m} \times (4.398)^2 \approx 19.34\text{ N} \]
Maximum tension at maximum power condition:
\[ T_{\max} = 3 T_c = 3 \times 19.34\text{ N} \approx 58.0\text{ N} \]
Thus, the maximum tension in the V-belt is 58 N.

अधिकतम शक्ति संचरण की शर्त पर:
अपकेंद्रीय तनाव \(T_c = \frac{1}{3} T_{\max} \implies T_{\max} = 3 T_c = 3 m v^2\)।
बेल्ट का वेग \(v = \frac{\pi D N}{60} = \frac{\pi \times 0.14 \times 600}{60} \approx 4.4\text{ m/s}\)
\(T_c = 1 \times (4.4)^2 \approx 19.36\text{ N}\) अतः अधिकतम तनाव \(T_{\max} = 3 \times 19.36 = 58.08\text{ N} \approx 58\text{ N}\)।

Explanation not matching this question? क्या व्याख्या इस प्रश्न से मेल नहीं खा रही? Report

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