Q2. Figure Q2 shows a simple gear train. At the instant shown, a force F = 1100 N is applied at one end of a 0.175 m long lever, perpendicular to the length of the lever. The other end of the lever is attached to shaft 1, and so the lever turns shaft 1. Gear A is attached to shaft 1 and has 48 teeth. Gear A is meshed with gear B, which has 16 teeth. a) What is the gear ratio from gear A to gear B? The efficiency of power transmission between the two gears is 70%. The moment of inertia of shaft 1, including the lever and gear A is 1.05 kgm² and the moment of inertia of gear B is 0.15 kgm². The frictional torque on shaft 1 is 0.2 Nm and the frictional torque on gear B is 0.7 Nm. If, at the instant show, the lever is moving downwards with a velocity of 1.4 m/s and an acceleration of 0.15 m/s², determine: b) the torque transmitted to gear A. c) the torque transmitted to gear B. d) the power transmitted to gear B. 1100 N 1.4 m/s 0.15 m/s² Lever 0.175 m Gear A Gear B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2. Figure Q2 shows a simple gear train. At the instant shown, a force F = 1100 N is
applied at one end of a 0.175 m long lever, perpendicular to the length of the lever.
The other end of the lever is attached to shaft 1, and so the lever turns shaft 1. Gear
A is attached to shaft 1 and has 48 teeth, Gear A is meshed with gear B, which has
16 teeth.
a) What is the gear ratio from gear A to gear B?
The efficiency of power transmission between the two gears is 70%. The moment
of inertia of shaft 1, including the lever and gear A is 1.05 kgm² and the moment of
inertia of gear B is 0.15 kgm². The frictional torque on shaft 1 is 0.2 Nm and the
frictional torque on gear B is 0.7 Nm. If, at the instant show, the lever is moving
downwards with a velocity of 1.4 m/s and an acceleration of 0.15 m/s², determine:
b) the torque transmitted to gear A.
c) the torque transmitted to gear B.
d) the power transmitted to gear B.
1100 N
1.4 m/s
0.15 m/s²
ME22002
Lever
0.175 m
Gear A
Gear B
Figure Q2
END OF SECTION A
QUESTIONS CONTINUE ON NEXT PAGE IN SECTION B
Page
Tem (9 +a)
3 of 10
Transcribed Image Text:Q2. Figure Q2 shows a simple gear train. At the instant shown, a force F = 1100 N is applied at one end of a 0.175 m long lever, perpendicular to the length of the lever. The other end of the lever is attached to shaft 1, and so the lever turns shaft 1. Gear A is attached to shaft 1 and has 48 teeth, Gear A is meshed with gear B, which has 16 teeth. a) What is the gear ratio from gear A to gear B? The efficiency of power transmission between the two gears is 70%. The moment of inertia of shaft 1, including the lever and gear A is 1.05 kgm² and the moment of inertia of gear B is 0.15 kgm². The frictional torque on shaft 1 is 0.2 Nm and the frictional torque on gear B is 0.7 Nm. If, at the instant show, the lever is moving downwards with a velocity of 1.4 m/s and an acceleration of 0.15 m/s², determine: b) the torque transmitted to gear A. c) the torque transmitted to gear B. d) the power transmitted to gear B. 1100 N 1.4 m/s 0.15 m/s² ME22002 Lever 0.175 m Gear A Gear B Figure Q2 END OF SECTION A QUESTIONS CONTINUE ON NEXT PAGE IN SECTION B Page Tem (9 +a) 3 of 10
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