Using the listed RSS feed:
You'll see links that include:
LKk6SvGmJj4
Previous episode: http://youtu.be/LKk6SvGmJj4
http://gdata.youtube.com/feeds/mobile/videos/LKk6SvGmJj4
That's the youtube ID.
Take that ID and use it with a straight image tag.
http://img.youtube.com/vi/LKk6SvGmJj4/0.jpg
http://img.youtube.com/vi/LKk6SvGmJj4/1.jpg
Use those images to populate your tables. Personally, I use Afnetworking's UIImageView category.
https://github.com/AFNetworking/AFNetworking
UIImageView *imageView = [[UIImageView alloc] initWithFrame:CGRectMake(0.0f, 0.0f, 100.0f, 100.0f)];
[imageView setImageWithURL:[NSURL URLWithString:@"http://img.youtube.com/vi/LKk6SvGmJj4/1.jpg"] placeholderImage:[UIImage imageNamed:@"placeholder-avatar"]];