As shown in the figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius 0.350 m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a - 1.80 m/s². (Let m₁ = 14.5 kg, m₂ 18.5 kg, and 8 = 37.0°.) From this information, we wish to find the moment of inertia of the pulley. T₂ (a) What analysis model is appropriate for the blocks? O particle in equilibrium O particle under constant acceleration particle under constant speed particle under constant angular acceleration O particle in simple harmonic motion (b) What analysis model is appropriate for the pulley? O particle in equilibrium particle under constant acceleration particle under constant speed particle under constant angular acceleration particle in simple harmonic motion (c) From the analysis model in part (a), find the tension 7₁. N (d) From the analysis model in part (a), find the tension T₂ N (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions 7, and T2, the pulley radius r, and the acceleration a. I= (f) Find the numerical value of the moment of inertia of the pulley. kg-m²
As shown in the figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius 0.350 m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a - 1.80 m/s². (Let m₁ = 14.5 kg, m₂ 18.5 kg, and 8 = 37.0°.) From this information, we wish to find the moment of inertia of the pulley. T₂ (a) What analysis model is appropriate for the blocks? O particle in equilibrium O particle under constant acceleration particle under constant speed particle under constant angular acceleration O particle in simple harmonic motion (b) What analysis model is appropriate for the pulley? O particle in equilibrium particle under constant acceleration particle under constant speed particle under constant angular acceleration particle in simple harmonic motion (c) From the analysis model in part (a), find the tension 7₁. N (d) From the analysis model in part (a), find the tension T₂ N (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions 7, and T2, the pulley radius r, and the acceleration a. I= (f) Find the numerical value of the moment of inertia of the pulley. kg-m²
Related questions
Question
Transcribed Image Text:As shown in the figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius 0.350
m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a -
1.80 m/s². (Let m₂ = 14.5 kg, m₂ = 18.5 kg, and 8 = 37.0°) From this information, we wish to find the moment of inertia
of the pulley.
T₂
(a) What analysis model is appropriate for the blocks?
O particle in equilibrium
O particle under constant acceleration
particle under constant speed
particle under constant angular acceleration
O particle in simple harmonic motion
(b) What analysis model is appropriate for the pulley?
O particle in equilibrium
particle under constant acceleration
particle under constant speed
particle under constant angular acceleration
O particle in simple harmonic motion
(c) From the analysis model in part (a), find the tension T₁.
N
(d) From the analysis model in part (a), find the tension 7₂.
N
(e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms
of the tensions T, and T2, the pulley radius r, and the acceleration a.
I=
(f) Find the numerical value of the moment of inertia of the pulley.
kg-m²
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 11 images
