A rectangular plate has width and breadth of 400 cm and 500 cm, respectively. An applied torque of 300 N.m gives the plate an angular acceleration of 15 rad/s² about a perpendicular axis through the centre of the plate

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A rectangular plate has width and breadth
of 400 cm and 500 cm, respectively. An
applied torque of 300 N.m gives the plate
an angular acceleration of 15 rad/s² about a
perpendicular axis through the centre of the
plate.
1) Calculate the rotational inertia of the
plate about that axis. [
2) Determine the mass of the plate.
3) Suggest the radius of a solid sphere that
has the same mass and rotational inertia as
that of the plate. [
Transcribed Image Text:A rectangular plate has width and breadth of 400 cm and 500 cm, respectively. An applied torque of 300 N.m gives the plate an angular acceleration of 15 rad/s² about a perpendicular axis through the centre of the plate. 1) Calculate the rotational inertia of the plate about that axis. [ 2) Determine the mass of the plate. 3) Suggest the radius of a solid sphere that has the same mass and rotational inertia as that of the plate. [
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