A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t3D0, the cylinder is at rest and its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylinder has mass M = 4 kg, length L and a cross-sectional radius R<

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
icon
Related questions
Question
A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t=0, the cylinder is at rest and
its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylinder has
mass M = 4 kg, length L and a cross-sectional radius R<<h. Find: (a) The velocity of the cylinders' center of mass as it reached the bottom of the incline; (b)
The rotational kinetic energy of the cylinder at the bottom of the incline; (c) Consider, now, a point particle sliding down the same incline, with initial velocity
Vin=0 and height yin=h. If the velocity of the point particle at the bottom of the incline is the same as that found for the cylinder's center of mass in part (a),
what is the value of the coefficient of kinetic friction? (Hint: in this problem, you can approximate g = 10 m/s?).
Transcribed Image Text:A thin hollow cylinder rolls without slipping from an inclined plane forming an angle 0 = 30° with the horizontal plane. At time t=0, the cylinder is at rest and its center of mass is at height h = 2.5 m above the bottom of the incline. The axis of rotation of the cylinder is orthogonal to the incline. The cylinder has mass M = 4 kg, length L and a cross-sectional radius R<<h. Find: (a) The velocity of the cylinders' center of mass as it reached the bottom of the incline; (b) The rotational kinetic energy of the cylinder at the bottom of the incline; (c) Consider, now, a point particle sliding down the same incline, with initial velocity Vin=0 and height yin=h. If the velocity of the point particle at the bottom of the incline is the same as that found for the cylinder's center of mass in part (a), what is the value of the coefficient of kinetic friction? (Hint: in this problem, you can approximate g = 10 m/s?).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY