A 4 kg block rests on an incline with uk = 0.3 and an angle of 30°. The 4 kg block is tethered to a suspended 2 kg block via a pulley with a mass of 1 kg and a radius of 0.1 m. Initially the system is at rest. An electric motor is then connected to the pulley such that the blocks begin to uniformly accelerate at 2 m/s^2, with the 4 kg block moving up the incline and the 2 kg block descending. This is shown schematically below: Pulley: M = 1 kg R = 0.1 m T₁ T₂

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 4 kg block rests on an incline with uk =
0.3 and an angle of 30°. The 4 kg block is
tethered to a suspended 2 kg block via a
pulley with a mass of 1 kg and a radius of
0.1 m. Initially the system is at rest. An
electric motor is then connected to the
pulley such that the blocks begin to
uniformly accelerate at 2 m/s^2, with the 4
kg block moving up the incline and the 2 kg
block descending. This is shown
schematically below:
Pulley:
M = 1 kg
R = 0.1 m
Hk = 0.3
T₂
2 kg
30°
(a) Draw free-body diagrams for the blocks
and the pulley.
(b) Determine 71 and 72 as labeled in the
schematic via use of Newton's Laws of
Motion.
(c) Determine the torque supplied by the
electric motor, Tmot, to cause the
aforementioned acceleration via use of
Newton's second law for rotational motion.
Assume that the pulley has a mass moment
of inertia of that of a solid cylinder.
T₁
4 kg
Transcribed Image Text:A 4 kg block rests on an incline with uk = 0.3 and an angle of 30°. The 4 kg block is tethered to a suspended 2 kg block via a pulley with a mass of 1 kg and a radius of 0.1 m. Initially the system is at rest. An electric motor is then connected to the pulley such that the blocks begin to uniformly accelerate at 2 m/s^2, with the 4 kg block moving up the incline and the 2 kg block descending. This is shown schematically below: Pulley: M = 1 kg R = 0.1 m Hk = 0.3 T₂ 2 kg 30° (a) Draw free-body diagrams for the blocks and the pulley. (b) Determine 71 and 72 as labeled in the schematic via use of Newton's Laws of Motion. (c) Determine the torque supplied by the electric motor, Tmot, to cause the aforementioned acceleration via use of Newton's second law for rotational motion. Assume that the pulley has a mass moment of inertia of that of a solid cylinder. T₁ 4 kg
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