The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mD = 4.9 kg. If an input torque M = 63 N●m is applied to gear A, what will be the magnitude of the resulting acceleration a of the unloaded rack? (The mechanism which it normally drives has been disengaged.) Gear C is keyed to the same shaft as gear B. Gears A, B, and C have pitch diameters dA = 185 mm, dB = 355 mm, and dC = 185 mm, and centroidal mass moments of inertia IA = 0.45 kg●m2, IB = 3.38 kg●m2, and IC = 0.45 kg●m2, respectively. All friction is negligible.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mD = 4.9 kg. If an input torque M = 63 N●m is applied to gear A, what will be the magnitude of the resulting acceleration a of the unloaded rack? (The mechanism which it normally drives has been disengaged.) Gear C is keyed to the same shaft as gear B. Gears AB, and C have pitch diameters dA = 185 mm, dB = 355 mm, and dC = 185 mm, and centroidal mass moments of inertia IA = 0.45 kg●m2IB = 3.38 kg●m2, and IC = 0.45 kg●m2, respectively. All friction is negligible.

The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mp = 4.9 kg. If an input
torque M = 63 N•m is applied to gear A, what will be the magnitude of the resulting acceleration a of the unloaded rack? (The
mechanism which it normally drives has been disengaged.) Gear C is keyed to the same shaft as gear B. Gears A, B, and C have pitch
diameters da = 185 mm, dg = 355 mm, and dc = 185 mm, and centroidal mass moments of inertia la = 0.45 kgom2, Ig = 3.38 kgom2,
and Ic = 0.45 kg•m?, respectively. All friction is negligible.
Transcribed Image Text:The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mp = 4.9 kg. If an input torque M = 63 N•m is applied to gear A, what will be the magnitude of the resulting acceleration a of the unloaded rack? (The mechanism which it normally drives has been disengaged.) Gear C is keyed to the same shaft as gear B. Gears A, B, and C have pitch diameters da = 185 mm, dg = 355 mm, and dc = 185 mm, and centroidal mass moments of inertia la = 0.45 kgom2, Ig = 3.38 kgom2, and Ic = 0.45 kg•m?, respectively. All friction is negligible.
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