Q. A heavy particle is suspended by a string of length from a fixed point . It is projected horizontally with speed from its lowest position: (Take )

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Solution:

The minimum speed requierd to complete the circular motion is which is more than the imparted speed so particle will not be able to attain the maximum height due to the initial speed which is . The string will slack before it reaches thê 90 height abovee thê initial point.