A non-homogenous 50-kg cylinder rests on the bed of a truck. A block prevents it from rolling to the right relative to the truck. However, the truck accelerates by ar = 8 m/s², causing the cylinder to start to roll to left, relative to the truck. Assume that the cylinder rolls without slipping. Determine the angular acceleration of the cylinder and the friction between the cylinder and the bed of the truck. The radius of gyration of the cylinder is kg = 0.4 m. The coefficients of friction between the cylinder and the truck are μ = 0.55 and μ = 0.20. Bonus: Check whether the assumption that the cylinder rolls without slipping is correct or not. Hint: The reaction force at the contact point between the cylinder and the block becomes zero when the truck starts to accelerate. 0 0 R+1m 94 ar = 8 m/s²,-

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
I need ur help to solve this question
A non-homogenous 50-kg cylinder rests on the bed of a truck. A block prevents it from rolling to
the right relative to the truck. However, the truck accelerates by a = 8 m/s, causing the cylinder to
start to roll to left, relative to the truck. Assume that the cylinder rolls without slipping. Determine
the angular acceleration of the cylinder and the friction between the cylinder and the bed of the
truck. The radius of gyration of the cylinder is kg = 0.4 m. The coefficients of friction between the
cylinder and the truck are μ = 0.55 and μ = 0.20.
Bonus: Check whether the assumption that the cylinder rolls without slipping is correct or not.
Hint: The reaction force at the contact point between the cylinder and the block becomes zero
when the truck starts to accelerate.
0
O
R+1m
94
ar = 8 m/s², →→
Transcribed Image Text:A non-homogenous 50-kg cylinder rests on the bed of a truck. A block prevents it from rolling to the right relative to the truck. However, the truck accelerates by a = 8 m/s, causing the cylinder to start to roll to left, relative to the truck. Assume that the cylinder rolls without slipping. Determine the angular acceleration of the cylinder and the friction between the cylinder and the bed of the truck. The radius of gyration of the cylinder is kg = 0.4 m. The coefficients of friction between the cylinder and the truck are μ = 0.55 and μ = 0.20. Bonus: Check whether the assumption that the cylinder rolls without slipping is correct or not. Hint: The reaction force at the contact point between the cylinder and the block becomes zero when the truck starts to accelerate. 0 O R+1m 94 ar = 8 m/s², →→
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Forced Undamped Vibrations
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