calculate time period

Classical Mechanics Level 2

Let a small sphere as the bob of the pendulum, fill water in it, and set it as a pendulum. the time period of pendulum is assumed T and its length is l.If accidentally the sphere starts leaking, while it is vibrating, the the time period of such a pendulum will:

remains T data insufficient goes on increasing goes on decreasing

1 solution

Rafay Ahmed Tariq
Apr 28, 2014

as the water level decreases in small sphere, its center of mass will come toward its bottom and the length goes on increasing...... as the length increases, time period goes on increasing...

The question states a small spherical bob and thus can be assumed to be a point mass... Also the equations of a simple pendulum r only applicable to a point mass.... Therefore the solution cannot be for time period to keep increasing and instead it should be that it remains same.

Sivabalan Maniam - 7 years, 1 month ago

we have to determine the length of the bob from the center of the body(if body is symmetry) to the point where its string is knotted. now if the water level decreases, the body no more remains symmetry and thus center of mass shifts towards bottom, thus the length from center of mass to the point where its string is is knotted is increased.... so when length is increased the time period will surely increase......... You said the body should be point mass, and i evaluated the length by considering body a point mass, as from center of mass to the knot. then what else???...... WHOME DO U SAY THE POINT MASS????? is it not the point mass??????

Rafay Ahmed Tariq - 7 years, 1 month ago

calculate time period

1 solution

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