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A uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m2 that is on a frictionless incline of angle e as shown below. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (Use any variable or symbol stated above along with the following as necessary: g.) (a) What is the acceleration of the block? gsin 1+ m1 2m2 (b) What is the tension in the string? T = (c) What is the speed of the block as it reaches the bottom of the incline? v =

A uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m2 that is on a frictionless incline of angle e as shown below. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (Use any variable or symbol stated above along with the following as necessary: g.) (a) What is the acceleration of the block? gsin 1+ m1 2m2 (b) What is the tension in the string? T = (c) What is the speed of the block as it reaches the bottom of the incline? v =

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 uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m2 that is on a frictionless incline of angle as shown below. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (Use any variable or symbol stated above along with the following as necessary: g.) (a) What is the acceleration of the block? a = gsine 1+ m1 2m2 (b) What is the tension in the string? T = (c) What is the speed of the block as it reaches the bottom of the incline? v = (d) Evaluate your answers for the special case where 8 = 90° and m₁ = 0. Are your answers what you would expect for this special case? a = m/s² T = v = N m/s
Transcribed Image Text:A uniform cylinder of mass m₁ and radius R is pivoted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m2 that is on a frictionless incline of angle as shown below. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (Use any variable or symbol stated above along with the following as necessary: g.) (a) What is the acceleration of the block? a = gsine 1+ m1 2m2 (b) What is the tension in the string? T = (c) What is the speed of the block as it reaches the bottom of the incline? v = (d) Evaluate your answers for the special case where 8 = 90° and m₁ = 0. Are your answers what you would expect for this special case? a = m/s² T = v = N m/s
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