time period of bob
Classical Mechanics
Level
2
a bob in the form of a hollow sphere is filled with water .it has a hole at the bottom .water is continuously draining out of it . what happens to the time period of oscillation of the bob?
first decreases,then increases
first increases ,then decreases
decreses gradually
increases gradually
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1 solution
as water flows out of the bob ,the time period first increases then decreases.initially when the sphere is completely filled with water its center of gravity lies at its center .as water flows out ,the c.g. begins to shift below the center of the sphere.the effective length increases and time period increases.(T is directly proportional to length ). when the sphere is empty, c.g. is once again shifted to the centre of the sphere and T attains initial value.