A particle of unit mass moves in the xy plane in such a way that \hat{x}(t)=y(t) and \hat{y}(t)=- x(t). We can conclude that it is in a conservative force-field which can be derived from the potential

Central forces — CSIR Net PYQ (Question 2)

A Central forces previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 2 of 19 · 3.5 marks

A particle of unit mass moves in the

x y

plane in such a way that

\overset{x}{^} (t) = y (t)

and

\overset{y}{^} (t) = - x (t)

. We can conclude that it is in a conservative force-field which can be derived from the potential

1 $\frac{1}{2} (x^{2} + y^{2})$
2 $\frac{1}{2} (x^{2} - y^{2})$
3 $x + y$
4 $x - y$

Correct answer: Option 1

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