Cook thought he was out on 46, lofting a catch to mid-on off Michael Beer.
Australia opted to field a four-man pace attack leaving out rookie spinner Michael Beer.
Doherty lasted just two matches and was dropped as Michael Beer stepped into the squad.
BBC: Hilditch defends Australia selectors despite Ashes loss
Australia have recalled Phillip Hughes to their squad for the match and called up spinner Michael Beer.
On top of the leadership changes, Australia are likely to hand debuts to two young players in Sydney - batsman Usman Khawaja and spinner Michael Beer.
Usman Khawaja at number three, and Michael Beer, the solitary spinner, who has played only seven first-class games in his life, and never at the Sydney Cricket Ground.
Time will tell whether the "dismissal" of Alastair Cook proves to be as significant, but the potential is there for England to make debutant Michael Beer pay for his no-ball wicket.
The duo were two of four changes to the Australia side that surrendered so meekly in Adelaide, as the hosts opted for a four-pronged pace attack and left out left-arm spinner Michael Beer.
If Australia opt to use four seamers at the Waca, left-arm spinner Michael Beer is likely to miss out on his Test debut after he was drafted in to replace the ineffective Xavier Doherty in Australia's 12-man squad.
Following the decision to refer Michael Beer's "dismissal" of Cook that proved to be a no-ball and denied the spinner a maiden Test wicket, Johnson revealed that the front line of the popping crease is not of paramount concern during practice.
Doherty was dropped after taking 1-158 in the second Test in Adelaide but despite the Sydney Cricket Ground being Hauritz's home ground, he has again been overlooked, with inexperienced left-armer Michael Beer set to make his debut - at a ground where he has never played.
Upon tasting our beer, Michael told us to quit our jobs and go into brewing fulltime.
We figured that our fuzzy new roommate was just part of the experience -- and the disturbance was offset by all the perks, such as the six-pack of beer that Michael and Sabrina had left on the counter as a gift.
Mr. Clemens's lawyer, Michael Attanasio, derided what he called the "magic beer can" as unreliable evidence contaminated by Mr. McNamee.
Ms. Lanza ate at My Place, the local bar, as much as three days a week and enjoyed a craft beer or two with her meal, said bartender Michael Agius, 26.
The charismatic cartoonist-turned politician railed against south Indians and Muslims, provoked his men to dig up cricket pitches, drank warm beer, smoked cigars, adored Adolf Hitler, hosted Michael Jackson ('Jackon is a great artist... his movements are terrific, ' he once said), berated women wearing jeans and renamed Bombay.
By Harold Wilson's time in the 60s, even despite the Vietnam War, friends of the special relationship were fortunate: Wilson's Foreign Secretaries for most of his tenure were Labour conservatives George Brown and Michael Stewart, whose pro-American sympathies were accepted by an emollient "beer and sandwiches" Premier anxious to maintain peace in a fractious government.
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