To determine The angular velocity of the carriage Explanation Draw the schematic diagram of the cable drum and carriage is shown in Figure (1). Here, mass of the cable drum is m 1 , mass of the carriage is m 2 , velocity is v , angular velocity is ω , horizontal tension is T , and radius of the drum is r . Write the expression for linear impulse momentum equation using Figure (1). ∫ ∑ F d t = m Δ v T × t = ( m 1 + m 2 ) ( v − v o ) (I) Here, total mass is m , change in velocity is Δ v , time is t and initial velocity is v o . Write the angular momentum equation using Figure (1). ∫ ∑ M 0 d t = I . Δ ω T r × t = m 1 k 2 ( ω − ω o ) (II) Here, radius of gyration is k and initial angular velocity is ω o

8th Edition

ISBN: 9781118885840

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

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Chapter 6.9, Problem 172RP

To determine

The angular velocity of the carriage

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Chapter 6.9, Problem 171RP

Chapter 6.9, Problem 173RP

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Can you solve it analytically using laplace transforms and with Matlab code as well please. Thank You

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