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A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 0. A string is attached to the cylinder so that the cylinder can roll without slipping on the incline. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. (Solid disk or cylinder: Içm =MR2) (a) Draw all forces acting on the cylinder, the pulley, and the block. (b) Write Newton's second law (translation, and/or rotation) for the motion of each object after the system is released from rest. (c) Find the magnitude of the acceleration of the block in terms of g, and 0.

A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 0. A string is attached to the cylinder so that the cylinder can roll without slipping on the incline. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. (Solid disk or cylinder: Içm =MR2) (a) Draw all forces acting on the cylinder, the pulley, and the block. (b) Write Newton's second law (translation, and/or rotation) for the motion of each object after the system is released from rest. (c) Find the magnitude of the acceleration of the block in terms of g, and 0.

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, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 0. A string is attached to the cylinder so that the cylinder can roll without slipping on the incline. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. (Solid disk or cylinder: Icm =; MR²) (a) Draw all forces acting on the cylinder, the pulley, and the block. (b) Write Newton's second law (translation, and/or rotation) for the motion of each object after the system is released from rest. (c) Find the magnitude of the acceleration of the block in terms of g, and 0. (d) Find the tensions in the string on both sides of the pulley in terms of M, g, and 0. (e) Use energy method to find the velocity of the block when it descends by a distance h. M. M M
Transcribed Image Text:A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 0. A string is attached to the cylinder so that the cylinder can roll without slipping on the incline. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. (Solid disk or cylinder: Icm =; MR²) (a) Draw all forces acting on the cylinder, the pulley, and the block. (b) Write Newton's second law (translation, and/or rotation) for the motion of each object after the system is released from rest. (c) Find the magnitude of the acceleration of the block in terms of g, and 0. (d) Find the tensions in the string on both sides of the pulley in terms of M, g, and 0. (e) Use energy method to find the velocity of the block when it descends by a distance h. M. M M
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