Inside a machine, two gears, A and B, HINGED at their centers, are meshed with each other such that gear A transmits torque and speed to gear B. Gear A has a mass mA = 2 kg, radius A = 175 mm, and radius of gyration kA = 150 mm. Gear B has a mass m² = 5 kg, radius B = 525 mm, and radius of gyration kg = 400 mm. From rest, a counter-clockwise couple M of constant magnitude 6 Nm is applied to Gear A. rB M = 6N•m 4. Which of the following is closest to the magnitude of the angular acceleration of gear B, in radians per square seconds (rad/s2)? 3.00 14.94 45.6 44.8 5. Which of the following is closest to the magnitude ofthe force exerted by gear B on gear A, in Newtons (N)? 22.8 30.5 68.3 69.4

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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1. Which of the following is closest to the magnitude of the angular acceleration of gear B, in radians per square seconds (rad/s2)?

2. Which of the following is closest to the magnitude ofthe force exerted by gear B on gear A, in Newtons (N)?

For items 1 to 5, refer to the following problem:
Inside a machine, two gears, A and B, HINGED at their centers, are meshed with each other such that gear A transmits torque and speed to
gear B. Gear A has a mass mд = 2 kg, radius A = 175 mm, and radius of gyration k 150 mm. Gear B has a mass mB =
5 kg,
radius B = 525 mm, and radius of gyration k 400 mm. From rest, a counter-clockwise couple M of constant magnitude 6 Nm is
applied to Gear A.
~
B
www
rB
rB = 525 mm
KB = 400 mm
M = 6 N.m
A
ra = 175 mm
KA = 150 mm
mA = 2 kg
4. Which of the following is closest to the magnitude of the angular acceleration of gear B, in radians per square
seconds (rad/s²)?
45.6
44.8
5. Which of the following is closest to the magnitude ofthe force exerted by gear B on gear A, in Newtons (N)?
22.8
30.5
68.3
69.4
3.00
14.94
♦
Transcribed Image Text:For items 1 to 5, refer to the following problem: Inside a machine, two gears, A and B, HINGED at their centers, are meshed with each other such that gear A transmits torque and speed to gear B. Gear A has a mass mд = 2 kg, radius A = 175 mm, and radius of gyration k 150 mm. Gear B has a mass mB = 5 kg, radius B = 525 mm, and radius of gyration k 400 mm. From rest, a counter-clockwise couple M of constant magnitude 6 Nm is applied to Gear A. ~ B www rB rB = 525 mm KB = 400 mm M = 6 N.m A ra = 175 mm KA = 150 mm mA = 2 kg 4. Which of the following is closest to the magnitude of the angular acceleration of gear B, in radians per square seconds (rad/s²)? 45.6 44.8 5. Which of the following is closest to the magnitude ofthe force exerted by gear B on gear A, in Newtons (N)? 22.8 30.5 68.3 69.4 3.00 14.94 ♦
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