A 4 kg block rests on an incline with 𝜇𝑘 = 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:
(a) Draw free-body diagrams for the blocks and the pulley.
(Points: 5)
(b) Determine 𝑇1 and 𝑇2 as labeled in the schematic via use of
Newton’s Laws of Motion. (Points: 10)
(c) Determine the torque supplied by the electric motor, 𝜏𝑚𝑜𝑡,
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. (Points: 10)
Mk = 0.3 30° 4 kg T₁ T₂ 2 kg Pulley: M = 1 kg R = 0.1 m
A 4 kg block rests on an incline with 𝜇𝑘 = 0.3 and an angle of 30°. The 4 kg block is tethered to a susp
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A 4 kg block rests on an incline with 𝜇𝑘 = 0.3 and an angle of 30°. The 4 kg block is tethered to a susp
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