A particle of mass m is tied at the end of a light string of length L, whose other end is fixed at point C (fig), and is revolving in a horizontal circle of radius r to form a conical pendulum. A parallel horizontal beam of light forms shadow of the particle on a vertical wall. If the tension in the string is F find - (a) The maximum acceleration of the shadow moving on the wall. (b) The time period of the shadow moving on the wall.

A particle of mass m is tied at the end of a light string of length L,

1.	A particle of mass m is tied at the end of a light string of length L, whose other end is fixed at point C (fig), and is revolving in a horizontal circle of radius r to form a conical pendulum. A parallel horizontal beam of light forms shadow of the particle on a vertical wall. If the tension in the string is F find - (a) The maximum acceleration of the shadow moving on the wall. (b) The time period of the shadow moving on the wall.
Answer» Correct Answer - `(a) (1)/(m)sqrt(F^(2)-(mg)^(2)), (b) 2pi((m^(2)r^(2))/(F^(2)-(mg)^(2)))^(1//4)`

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