A particle P is attached to two fixed points O_(1) and O_(2) in a horizontal line, by means of two ight inextensible strings of equal length l. It is projected with a velocity just sufficient to make it describe a circle, in a vertical plane, without the strings getting slack and with the anglelt O_(2)O_(1)P = lt O_(1)O_(2)P = theta. When the particle is at its lowest point, the string O_(2)P breaks and the subsequent path of the particle was found to be a circle of radius l "cos" theta. Find theta.

A particle P is attached to two fixed points O_(1) and O_(2) in a hori

1.	A particle P is attached to two fixed points O_(1) and O_(2) in a horizontal line, by means of two ight inextensible strings of equal length l. It is projected with a velocity just sufficient to make it describe a circle, in a vertical plane, without the strings getting slack and with the anglelt O_(2)O_(1)P = lt O_(1)O_(2)P = theta. When the particle is at its lowest point, the string O_(2)P breaks and the subsequent path of the particle was found to be a circle of radius l "cos" theta. Find theta.
Answer» ANSWER :`THETA = TAN^(-1) ((1)/(SQRT5))`