Woakes left the field after bowling only two overs due to a side strain, and may struggle to play again in the tournament.
The major disappointment for England was another failure for opener Jason Roy, who was caught at short fine leg for one to continue his poor run and intensify the calls for in-form Jonny Bairstow to replace him in the side.
Woakes was only passed fit to play in the opening match of the eight-team tournament after recovering from a thigh problem.
Their twin exits in the 45th over stalled Bangladesh, which embarrassed England at the last two Cricket World Cups. "And it is a worry when he goes off the field and can't come back on and bowl", he said. "The main bowlers must bowl better", said Mortaza.
"It's not slow, it's actually at pace", Morgan said. You have to work hard to get those runs.
After winning the toss, England skipper Eoin Morgan suggested that there might be something in the pitch owing to the morning start.
The 2004 winners West Indies will not be taking part in the tournament as they are ranked 9th in the world below Pakistan, thus making it the first time that an ICC tournament will not have one of its former champions playing in the tournament. Among England bowlers, only James Anderson has gone for that many that often, but Anderson, in mitigation, did take 13 years and 194 matches to secure such an unwanted record. "I hope that the batters will understand their role and not to think about much about yesterday (Tuesday)". Presumably, offspinner Mehedi Hasan would have been their first-choice bowler in that case although left-arm spinner Sunzamul Islam and fast bowler Taskin Ahmed were other options in the squad.
As Morgan slashed apart the Bangladesh bowling attack, Root continued to dice it with more subtlety, and reached his 10th ODI century with an easy two.
"He and (Alex) Hales have been very important to the way we've played as a team for quite a long time".
Tamim had run Stokes down to the third man boundary for four when Stokes started mouthing off at the opening batsman.
The pair put on 166 for the third wicket before falling in successive balls to Plunkett, after Tamim had gone through to his ninth ODI century.
However, heading into this ICC Champions Trophy, where they would play the same team they beat so famously in Adelaide first up, there were still questions over whether Bangladesh could turn it on, like they have done so often at home, in unfamiliar conditions and in a pressure cooker situation like the CT.