The bob of a simple pendulum, in the shape of a hollow cylinder of mass M , radius r and length h , is suspended by a long string (mass of base and lid negligible), as in Figure 5.127. The cylinder is

Question

The bob of a simple pendulum, in the shape of a hollow cylinder of mass $M$ , radius $r$ and length $h$ , is suspended by a long string (mass of base and lid negligible), as in Figure 5.127. The cylinder is filled with a liquid of density $ρ$ up to a height $x$ . The value of $x$ for which the time period is maximum is given by ( $λ = π r^{2} ρ$ ):

TestHub · Accepted Answer

The period is largest when the centre of mass is lowest, which happens when it lies at the liquid surface: λ x + M λ x ⋅ x /2 + M h /2 ​ = x , giving λ x 2 + 2 M x − M h = 0 .

Physics - SHM Question with Solution | TestHub

Options:

Doubts & Discussion