Learn English – Put the toys in place

Put up with and cope with are not exactly interchangeable.

To cope with is to take into account an adverse situation and overcome it, to deal with it.

To put up with something is merely to tolerate it but not necessarily to overcome it.

Your passage is wondering how the Indian cricket team will deal with spinners when playing Australia. Given your choices put up with would be the best choice, however overcome would be a better substitute for cope with.

According to dictionary.com the expression sticking place corresponds to the more common sticking point:

• Also called "sticking point", the place or point at which something stops and holds firm. Origin 1570

The Free Dictionary cites screw (one's) courage to the sticking place as an idiomatic expression:

• To remain bold, resolute, determined, and courageous, especially in the face of possible danger, difficulty, hardship, or adversity. Taken from a line in Shakespeare's Macbeth:

  • I'm really nervous about asking Sarah out on a date, but I'm going to screw my courage to the sticking place and ask her by the end of the day.

and Ngram shows a number of current usages of the idiomatic expression such as:

From Prolegomena:

• Have you screwed up your courage to the sticking-place? Do you intend to be freemen or slaves? Are you inclined to hope for a fair day's wages for a fair day's work? Ask yourselves these questions, and remember that your safety depends on....

According to WWW, though Skakespeare never said what he exactly meant by that expression, the 1911 OED edition accepts as probable that it may have something to do with “screwing up the chords of string instruments to their proper degree of tension”.

• The phrase sticking place in that form and sense does appear first in Macbeth, spoken to the thane of Glamis by his wife when encouraging him to murder Duncan........ Today we’re much more likely to talk simply about screwing up our courage, another form of the same expression.

• The idea is of a place where something stops and holds fast. If Macbeth does this, he won’t change his mind but stay with his previous decision to act against King Duncan. However, nobody is certain what the sticking-place is — as so often, Shakespeare omitted to tell us what he meant and sticking-place appears in English only in reference to this line.

• The Clarendon Shakespeare, published in Oxford in 1869, suggested it refers to “some engine or mechanical contrivance”. In a note in another Shakespeare play in the same series, Troilus and Cressida, the editors argue that it had something to do with “screwing up the chords of string instruments to their proper degree of tension”. The Oxford English Dictionary’s entry, published in 1911, accepts this as the correct answer.

• As things stand, however, we’ve no way of deciding for certain which allusion, if either, is what Shakespeare had in mind.