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

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

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

Post by answerhappygod »

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:
 1
1 (22.85 KiB) Viewed 36 times
(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
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply