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$straight A space gramophone space record space has space radius space straight r space and space mass space straight M. space It space is space rotating space with space straight a space speed space omega. space Two space drops space of space wax space each space of space mass space straight m space fall space space on space it space at space straight a space distance space straight r divided by 2 space on space opposite space sides. space The space new space velocity space is space$

$\frac{ω}{2}$
$\frac{M ω}{(M + m)}$
$\frac{m ω}{M + m}$
$\frac{(M - m) ω}{(M + m)}$

The correct answer is: $fraction numerator M omega over denominator left parenthesis M plus m right parenthesis end fraction$

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Thickness of a wooden circular plate is same as the thickness of a metal circular plate but density of metal plate is 8 times density of wooden plate. If moment of inertia of wooden plate is twice the moment of inertia of metal plate about their natural axes, then the ratio of radii of wooden plate to metal plate is

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PhysicsMechanics

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PhysicsMechanics

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Seven identical disc are arranged in a hexagonal, planar pattern so as to touch each neighbour, as shown in the figure. Each disc has mass m and radius r. What is the moment of inertia of the system of seven disks about an axis passing through the centre of central disk and normal to plane of all disks?

Seven identical disc are arranged in a hexagonal, planar pattern so as to touch each neighbour, as shown in the figure. Each disc has mass m and radius r. What is the moment of inertia of the system of seven disks about an axis passing through the centre of central disk and normal to plane of all disks?

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