a simple pendulum of length 1m has a bob of mass 10g. find the work done in moving the pendulum from vertical position to a horizontal position. and if the bob os released fron the horizontal position, what will be its velocity at the lowest position
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Length of simple pendulum =1m
Mass =1wgm=0.1kg
It is displaced through as angle of 60 for vertical
Height of pendulum at starting position = length (1−ws60)
=1(1−0.5)
=0.5m
Potential energy =mgh=0.1×10×0.5=0.55
when it is released and it reaches mean position its potential energy at starting point is converted to kinetic energy.
so K.E. of bob at mean position =0.55.
Hence, the answer is 0.55.
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