First pulley ley

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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First pulley
Second pulley
FIGURE 2
FIGURE 2 shows a block of mass m, is hung from the double pulley system.
Each pulley has the same mass m, and same radius R. When a downward
pulling force of F is exerted, first pulley and second pulley rotate with angular
accelerations of a1 and a2, the block accelerates upwards with linear
acceleration of a. The rotating second pulley also in the same time accelerates
upwards with linear acceleration of a. The rope does not slip over the pulley.
(a) Draw free body diagrams separately for the first pulley, the second pulley
and the block.
(b) By treating the pulleys as uniform discs, state the required equation to
determine the moment of inertia of the pulley.
(c) State the equations if you are going to determine the magnitude of the
downward pulling force F. The equations must be related to Newtn's
second law for rotational motion and Newton's second law for linear
motion.
Transcribed Image Text:First pulley Second pulley FIGURE 2 FIGURE 2 shows a block of mass m, is hung from the double pulley system. Each pulley has the same mass m, and same radius R. When a downward pulling force of F is exerted, first pulley and second pulley rotate with angular accelerations of a1 and a2, the block accelerates upwards with linear acceleration of a. The rotating second pulley also in the same time accelerates upwards with linear acceleration of a. The rope does not slip over the pulley. (a) Draw free body diagrams separately for the first pulley, the second pulley and the block. (b) By treating the pulleys as uniform discs, state the required equation to determine the moment of inertia of the pulley. (c) State the equations if you are going to determine the magnitude of the downward pulling force F. The equations must be related to Newtn's second law for rotational motion and Newton's second law for linear motion.
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