The rod AB is confined to move along the inclined planes at A and B. If point A has an acceleration of 3 m/s2 and velocity of 2 m/s, both directed down the plane at the instant the rod becomes horizontal, determine the angular acceleration of the rod at this instant.

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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Do not solve for angular acceleration. 

Why is  the angular velocity positive 0.283? i could only get -0.283. May i know where i went wrong? My working is shown in the 2nd pic

Solve it without using the instanenous  center of zero velocity.

ontent Copyright Nanyang Technological University
EXERCISE 3
W=0-283
vodis
The rod AB is confined to move along the inclined planes at A and B. If
point A has an acceleration of 3 m/s² and velocity of 2 m/s, both
directed down the plane at the instant the rod becomes horizontal,
determine the angular acceleration of the rod at this instant.
VA - VB + VAIS
20s asT - 2sin us S = VBcosusT + VOGinuss
+ wR x-10T
10 m
1. 2c0s45
:VBLOS45 -10o-1)
VAIB
j: -2Sin 45 VA Sin45 -C2)
V, = 2 m/s
a, = 3 m/s²
VB - - 2mls
Sub into eanci)
45
45
QLOS 45 = (-2) LO845 -1ow
w : -0283 radls
Content Copyright Nanyang Technological University
Transcribed Image Text:ontent Copyright Nanyang Technological University EXERCISE 3 W=0-283 vodis The rod AB is confined to move along the inclined planes at A and B. If point A has an acceleration of 3 m/s² and velocity of 2 m/s, both directed down the plane at the instant the rod becomes horizontal, determine the angular acceleration of the rod at this instant. VA - VB + VAIS 20s asT - 2sin us S = VBcosusT + VOGinuss + wR x-10T 10 m 1. 2c0s45 :VBLOS45 -10o-1) VAIB j: -2Sin 45 VA Sin45 -C2) V, = 2 m/s a, = 3 m/s² VB - - 2mls Sub into eanci) 45 45 QLOS 45 = (-2) LO845 -1ow w : -0283 radls Content Copyright Nanyang Technological University
EXERCISE 3
The rod AB is confined to move along the inclined planes at A and B. If
point A has an acceleration of 3 m/s2 and velocity of 2 m/s, both
directed down the plane at the instant the rod becomes horizontal,
determine the angular acceleration of the rod at this instant.
10 m
В
A
VA = 2 m/s
3 m/s?
45
45
Transcribed Image Text:EXERCISE 3 The rod AB is confined to move along the inclined planes at A and B. If point A has an acceleration of 3 m/s2 and velocity of 2 m/s, both directed down the plane at the instant the rod becomes horizontal, determine the angular acceleration of the rod at this instant. 10 m В A VA = 2 m/s 3 m/s? 45 45
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