The former Swansea star collected a knockdown from Dele Adebola, trapped the ball and sent a delightful curling effort into the top corner.
It was set up by a 32-yard completion to David Tyree with 59 seconds to go on which the receiver trapped the ball against his helmet while being guarded tightly by Rodney Harrison.
After a brief break for bad light, left-armer Parnell struck as Strauss, who had reached 22 despite some hostile treatment from the new-ball pair, was trapped lbw by a ball that nipped back a fraction.
BBC: England on course for heavy defeat in Johannesburg Test
Sangakkara top-edged a pull while Dilshan was trapped lbw first ball by a brilliant inswinger.
There was a hiccup when, following his introduction into the attack, Monty Panesar's third ball trapped Mitchell lbw on the back pad, giving the left-arm spinner his 50th Championship wicket in his first season with Sussex.
Clarke lost his off-stump to Sidebottom two balls later, Troughton edged to Read, Ambrose was trapped lbw first ball and Javid was bowled leaving the ball for the second time in the day, and Barker was caught behind.
Earlier, Bandara bowled Nafees off the last ball of his first over and then trapped captain Habibul Bashar (29) lbw with the first ball of his next.
It rose to eight at one point and Somerset sensed a chance when, with 33 still needed, Goodwin was trapped lbw by a slower ball from Peter Trego.
But it was the gentle medium pace of Paul Collingwood that accounted for Ryan Carters, Alex Keath and Matthew Wade, while spinner Monty Panesar weighed in with two wickets and even skipper Strauss enjoyed success with the ball as he trapped Michael Hill leg before wicket.
The paceman, who only arrived this week after injuring his hip in a car crash, trapped Rob Key leg before first ball.
His second arrived the very next ball when Peter McGlashan was trapped plumb in front of his stumps attempting to sweep.
Yuvraj fell to the fourth ball after lunch when he was stumped attempting to drive spinner Ollie Rayner, who then struck again when Mahendra Dhoni was trapped in front trying to work the ball to leg.
Solanki was trapped plumb in front by Irfan Pathan one ball after hitting his second one-day fifty.
Snell benefited from being dropped at gully by Mal Loye to complete a 58-ball half-century before Brooks trapped him leg before to seal a comprehensive win.
Earlier, Mike Smith trapped opener Ali Brown lbw with the fourth ball of the day and then saw Mark Ramprakash nick one to Spearman at first slip for 11.
Adam Gilchrist was trapped lbw by Kyle Mills on the third ball of the match and Chris Martin celebrated his first one-day match in five years by snapping up Simon Katich in his second over.
McCullum, passed fit to play and keep wicket despite a hip injury, was trapped lbw by Shaun Tait off the second ball of the innings, while Guptill and Fulton fell soon after each other as Bracken and Mitchell Johnson turned the screw with a succession of maiden overs.
He hit a sublime boundary but was then out next ball as McGrath upped the pace and trapped him lbw.
In Franklin's absence, Antony Ireland was named as a replacement, but was last man out when trapped lbw by Matthew Coles for a third-ball duck.
The plan came off as Tredwell trapped Gayle in front of his stumps with his fifth ball.
Bopara's stumps were split after stepping outside leg and missing his shot, while Pietersen was trapped lbw as he tried to slog a second successive ball over midwicket for six.
Key (25) was snared by an in-swinger, and Geraint Jones was trapped on the crease by another darting in-ducker next ball.
Yorkshire resumed on 409-7 but Adil Rashid fell lbw to the sixth ball from Amjad Khan, which nipped back and trapped him lbw.
With Pakistan's two pace spearheads in full flow there was an electric atmosphere, and Sami felt he had trapped Ganguly lbw, although umpire Doctrove correctly deemed that the ball had pitched outside leg-stump.
Casilla, thinking the ball was going to be caught by Cano, got trapped in a rundown between second and third base.
The former England batsman was trapped leg before by Sanjay Bangar, who had starred with both bat and ball on Sunday.
Watling and McIntosh saw off the new ball in a first wicket stand of 70, but when the former was trapped lbw for 33 to Bollinger, the review system was again under the spotlight.
Maddy trapped Chris Rogers lbw to end a stand of 47 and saw Steve Stubbings edge a wide ball low to first slip.
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