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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 k, = 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. R+1m O 015m 94 ar = 8 m/s²,-

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 k, = 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. R+1m O 015m 94 ar = 8 m/s²,-

Elements Of Electromagnetics
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
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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, →→
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