The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mp = 5.1 kg. If an input torque M = 60 Nom 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 = 175 mm, dB = 305 mm, and dc = 175 mm, and centroidal mass moments of inertia l = 0.49 kg m², lg = 2.87 kg m², and Ic = 0.49 kg m², respectively. All friction is negligible. ww B O wwwwwy
The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mp = 5.1 kg. If an input torque M = 60 Nom 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 = 175 mm, dB = 305 mm, and dc = 175 mm, and centroidal mass moments of inertia l = 0.49 kg m², lg = 2.87 kg m², and Ic = 0.49 kg m², respectively. All friction is negligible. ww B O wwwwwy
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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The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass mp = 5.1 kg. If an input torque
M = 60 Nom 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 dà =
175 mm, dB = 305 mm, and dc = 175 mm, and centroidal mass moments of inertia l = 0.49 kg•m², lg = 2.87 kg•m², and lc = 0.49 kg•m²,
respectively. All friction is negligible.
Answer a =
i
D
m/s²
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