A tractor is now drafted in to move the blo ck. The weight of the tractor is equally distributed over all four wheels and it pulls on the blo ck via a rope with tension T. The back wheels have a diameter of 1.6m and the front wheels have a diameter of 80cm. The tractor motor generates a torque of τ on each of its back wheels that have radii Rb and masses mb. The front wheels of the tractor are smaller than the back wheels and have radii Rf and masses mf. Both sets of wheels can b e treated as uniform solid disks with moment of inertia I = 1/2mR2. The mass of the tractor body, without the wheels, is M. If the wheels don't slip, show that the tractor can accelerate the block with an acceleration of (see image)
A tractor is now drafted in to move the blo ck. The weight of the tractor is equally distributed over all four wheels and it pulls on the blo ck via a rope with tension T. The back wheels have a diameter of 1.6m and the front wheels have a diameter of 80cm. The tractor motor generates a torque of τ on each of its back wheels that have radii Rb and masses mb. The front wheels of the tractor are smaller than the back wheels and have radii Rf and masses mf. Both sets of wheels can b e treated as uniform solid disks with moment of inertia I = 1/2mR2. The mass of the tractor body, without the wheels, is M. If the wheels don't slip, show that the tractor can accelerate the block with an acceleration of (see image)
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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A tractor is now drafted in to move the blo ck. The weight of the tractor is equally distributed over all four wheels and it pulls on the blo ck via a rope with tension T. The back wheels have a diameter of 1.6m and the front wheels
have a diameter of 80cm. The tractor motor generates a torque of τ on each of its back wheels that have radii Rb and masses mb. The front wheels of the tractor are smaller than the back wheels and have radii Rf and masses mf. Both sets of wheels can b e treated as uniform solid disks with moment of
inertia I = 1/2mR2. The mass of the tractor body, without the wheels, is M. If the wheels don't slip, show that the tractor can accelerate the block with an acceleration of (see image)
Transcribed Image Text:a=
2T-TR₂
R(M +3m +3mg)
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