Stuart Broad backed Alastair Cook to hit the Test century that has eluded him for 33 innings on Thursday and put England in a winning position in the second Test. Broad produced his best and quickest bowling since knee surgery last year to take three wickets for 19 here in Grenada before a defiant last wicket stand of 52 from Devendra Bishoo and Shannon Gabriel lifted West Indies to 299. Then Cook, fighting for his captaincy in this series, and the under pressure Jonathan Trott joined forces to hit their first half-century partnership as an opening pair and reach 74 without loss by the close of a rain-affected second day. Stuart Broad produced his best and quickest bowling since knee surgery last year on day two in Grenada . Quick Broad took three wickets on day two as England bowled West Indies out for 299 . Captain Alastair Cook, who won the toss and chose to bowl, worked his way to 37 not out at stumps . Broad backs Cook to go onto a big hundred and get his side in a winning position with three days left . When Cook reached 17 of his unbeaten 37 he went past Alec Stewart to become the second highest run-scorer in England's Test history and now only his mentor in Graham Gooch stands ahead of him. 'He's been an amazing performer for eight or nine years now,' said Broad. 'And he's such a level headed character that you never know whether he's got nought or 200 if you bumped into him in the evening. 'Cooky won't be thinking about personal landmarks now. He knows if he gets a big hundred tomorrow he will set his team up with a fantastic chance of getting a result and it was great to see Cook and Trott back together again. Hopefully they can score a lot more runs tomorrow.' Broad revealed that a chat with new bowling coach Ottis Gibson and a change of technique led him to add 10 miles per hour to his bowling overnight and look back to his best. Cook plays a shot to the legside as he found some form on a rain-interrupted day two at St George's . Broad celebrates the wicket of West indies captain Denesh Ramdin, who was caught behind on 31 . 'I made a slight change overnight after watching quite a lot of footage of how I got my wickets and I was a bit wider on the crease which allowed my momentum to go straight through,' said Broad, who touched 91 miles per hour when bowling a beauty to take Denesh Ramdin's wicket. 'It seemed to work and I was really pleased with how I bowled today.' Despite some momentum in the favour of Cook's side, Broad admits England are battling both the weather and an at time defiant West Indies as they look to force victory. With unpredictable forecasts around, Broad knows only full days of cricket and a sizeable first-innings lead will leave the tourists on track. Broad celebrates after reaching 91 miles per hour for the delivery that took Denesh Ramdin's wicket . Cook and Jonathan Trott leave the field at stumps having guided England to 74 runs without loss . 'The only way we can win is by getting 400, 450 in the first innings and applying pressure that way,' he said. 'We need a bit of lady luck, blue skies in the morning and hopefully there's not too much swing. 'You can't have mornings like we've had on every day of the Test or it will be a draw. 'But we've got a pretty simple job from now, which is to bat a day and half to two days because I don't think anyone really knows how this wicket will behave late on day three, four or five.'
England captain Alastair Cook hasn't scored a Test century for 33 inning .
Cook became England's second highest Test run scorer on Wednesday .
Stuart Broad said his skipper can put England in a winning position .
Cook (37) and Jonathan Trott (32) were not out at stumps after day two .
England are 74-0, 225 runs behind, after bowling West Indies out for 299 .
Broad said an action change overnight gave his bowling an added 10mph .