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The pinion (small gear) A (with radius rA = 10 cm) of a hoist motor drives a larger gear B (with radius r = 30 cm), which is attached to a hoisting drum. The load L is attached to an inextensible cord that wraps around the drum (with radius DRUM = 40 cm). The mass of the load L is 30 kg, and the mass of the drum and gear B together is 10 kg, and together, the drum and gear B has a radius of gyration of kg = 10 cm. The mass of gear A can be considered negligible. The gear at A is subjected to a clockwise torque MA = 40 N.m. The load is initially stationary. Determine an expression for the total kinetic energy of the system (load L, gear B/drum) as a function of the vertical velocity of the load V₁ and determine the vertical velocity of the load V₁ after the gear A has turned 10 revolutions. Provide your answer in m/s.

The pinion (small gear) A (with radius rA = 10 cm) of a hoist motor drives a larger gear B (with radius r = 30 cm), which is attached to a hoisting drum. The load L is attached to an inextensible cord that wraps around the drum (with radius DRUM = 40 cm). The mass of the load L is 30 kg, and the mass of the drum and gear B together is 10 kg, and together, the drum and gear B has a radius of gyration of kg = 10 cm. The mass of gear A can be considered negligible. The gear at A is subjected to a clockwise torque MA = 40 N.m. The load is initially stationary. Determine an expression for the total kinetic energy of the system (load L, gear B/drum) as a function of the vertical velocity of the load V₁ and determine the vertical velocity of the load V₁ after the gear A has turned 10 revolutions. Provide your answer in m/s.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Hi, I have an engineering dynamics question.
MA TA = 10 cm B = 30 cm DRUM = 40 cm В. L VL
Transcribed Image Text:MA TA = 10 cm B = 30 cm DRUM = 40 cm В. L VL
The pinion (small gear) A (with radius rA = 10 cm) of a hoist motor drives a larger gear B (with radius B = 30 cm), which is attached to a hoisting drum. The load L is attached to an inextensible cord that wraps around the drum (with radius [DRUM = 40 cm). The mass of the load L is 30 kg, and the mass of the drum and gear B together is 10 kg, and together, the drum and gear B has a radius of gyration of kg = 10 cm. The mass of gear A can be considered negligible. The gear at A is subjected to a clockwise torque MA = 40 N.m. The load is initially stationary. Determine an expression for the total kinetic energy of the system (load L, gear B/drum) as a function of the vertical velocity of the load V₁ and determine the vertical velocity of the load V₁ after the gear A has turned 10 revolutions. Provide your answer in m/s.
Transcribed Image Text:The pinion (small gear) A (with radius rA = 10 cm) of a hoist motor drives a larger gear B (with radius B = 30 cm), which is attached to a hoisting drum. The load L is attached to an inextensible cord that wraps around the drum (with radius [DRUM = 40 cm). The mass of the load L is 30 kg, and the mass of the drum and gear B together is 10 kg, and together, the drum and gear B has a radius of gyration of kg = 10 cm. The mass of gear A can be considered negligible. The gear at A is subjected to a clockwise torque MA = 40 N.m. The load is initially stationary. Determine an expression for the total kinetic energy of the system (load L, gear B/drum) as a function of the vertical velocity of the load V₁ and determine the vertical velocity of the load V₁ after the gear A has turned 10 revolutions. Provide your answer in m/s.
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