A gear of mass m= 10 kg and radius R = 0.25 m may rotate about its center of mass C, which is fixed. A rack of mass m = 10 kg is subjected to a constant force Fo = 20 N, as shown. The rack and gear are geared together (gear teeth not shown), so that the force Fo drives the rack to the right and rotates the gear. Find the angular acceleration a of the gear and find the force f exerted by the rack on the gear. The gear is to be modeled as a uniform circular disc. FIxed Fo3 20 N Rack

A gear of mass m= 10 kg and radius R = 0.25 m may rotate about its center of mass C, which is fixed. A rack of mass m = 10 kg is subjected to a constant force Fo = 20 N, as shown. The rack and gear are geared together (gear teeth not shown), so that the force Fo drives the rack to the right and rotates the gear. Find the angular acceleration a of the gear and find the force f exerted by the rack on the gear. The gear is to be modeled as a uniform circular disc. FIxed Fo3 20 N Rack

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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Question

A gear of mass m = 10 kg and radius R=0.25 m
may rotate about its center of mass C, which is
fixed. A rack of mass m = 10 kg is subjected to a
constant force Fo = 20 N, as shown. The rack and
gear are geared together (gear teeth not shown), so
that the force Fo drives the rack to the right and
rotates the gear. Find the angular ácceleration a of
the gear and find the force f exerted by the rack on
the gear. The gear is to be modeled as a uniform
circular disc.
Fixed
Fo3 20 N
Rack

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