Explanation Given information: Mass of AB is (m) = 15kg Length of the rod AB is=1m Explanation: Consider the diagram Formulate the relative acceleration in between the point G and the point A a G / A = L α 2 Substitute the values a G / A = ( 1 m ) α 2 = 0.5 α Find the acceleration of the rod AB a R = a G = a A + a G / A Formula for the acceleration of rod in terms of the acceleration of cart a R = a c + a G / A Then find the moment of inertia of the rod AB I R = m R L 2 12 I R = ( 15 ) ( 1 ) 2 12 = 1.25 k g / m 2 Find the horizontal components of forces ( m c g ) sin 25 0 + ( m R g ) sin 25 = 0 m c a c + m R a c − ( m R a G / A ) cos 25 0 ( m c + m R ) g sin 25 0 = ( m c + m R ) a c − ( m R a G / A ) cos 25 0 g sin 25 0 = a c − m g m c + m R ( a G / A cos 25 0 ) ( 9 To determine (b) Find the angular acceleration of the rod.

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ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Chapter 16.2, Problem 16.145P

To determine

(a)

Find the acceleration of the cart.

To determine

(b)

Find the angular acceleration of the rod.

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Chapter 16.2, Problem 16.144P

Chapter 16.2, Problem 16.146P

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(a) Find the acceleration of the cart.

Solution Summary: The author explains how to find the acceleration of the cart.