No, weight does not factor into a pendulum swing (in a vacuum)
Note that gravity effects all objects the same, drop a 10 pound weight and a 1 pound weight from the same distance and they will hit the ground at the same time.
As long as friction from the air does not play a roll for example as with a feather vs a Bowling ball, (which will actually hit the ground at the same time if they are in a vacuum) the weight of the bob should not matter.
However, because there are very slight variations in gravity with different elevations pendulums of the same weight will swing at different time intervals if one is on top of a mountain and one is at sea level.
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The period of the pendulum can be influenced by the local magnitude of gravity, by the length of the string, and by the density of the material in the swinging rod (which influences the effective length).It's not affected by the weight of the bob, or by how far you pull it to the side before you let it go.
Answer #1:Your question cannot be answered without knowing what the pendulum wasfilled with before it was filled with mercury.If it had nothing in it, before, then adding the mercury would increase theperiod time.If it had lead in it before, then adding the mercury would decrease the periodtime.================================Answer #2:The period of a simple pendulum doesn't depend on the weight (mass) of thebob. As long as the bob is much heavier than the string, and air resistance canbe ignored, nothing you do to the bob has any effect on the period.
It is the length of the pendulum that matters (for small angles of swing): period ~= 2{pi}sqrt(length/g) Note that the "length" specified above is the length between the pivot and the centre of the mass of the pendulum, which is usually somewhere near the centre of the bob due to lightweight string and heavy bob on the end. Pennies (1d coins) are used to adjust the period of the clock in St Stephen's tower of the UK's Parliament building (of which the hour bell is Big Ben) not by adjusting the weight of the bob, but by adjusting the centre of the mass of the bob by stacking the coins towards the pivot.
At the extremities of the pendulum's swing, the sand leaving the bob could exert a force on the bob. Provided that this force is negligible and also, provided the mass of the bob (with or without the sand) is large compared with the rest of the pendulum, the time period should not be affected.
The period of a pendulum is totally un-affected by the mass of the bob.The time period of pendulum is given by the eqn.T=2*PIE*(l/g)1/2 ;l is the length of pendulum;g is the acceleration due to gravity.'l' is the length from the centre of suspension to the centre of gravity the bob.ie.the length of the pendulum depends on the centre of gravity of the bob,and hence the distribution of mass of the bob.