1. If moment of inertia of an object is 2.5kgm2 about its rotation axis. How much torque (constant) will it require to start from rest and move it to angular speed of 400 rev/min in 8 seconds?

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Chapter1: Units, Trigonometry. And Vectors
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1. If moment of inertia of an object is 2.5kgm? about its rotation axis. How
much torque (constant) will it require to start from rest and move it to
angular speed of 400 rev/min in 8 seconds?
2. Under some circumstances, a star can collapse into an extremely dense
object made mostly of neutrons and called a neutron star. The density
of a neutron star is roughly 1014 times as great as that of ordinary solid
matter. Suppose we represent the star as a uniform, solid, rigid sphere,
both before and after the collapse. The star's initial radius was 7 x 10 km
and its final radius is 16km. If the original star rotated once in 30 days,
find the angular speed of the neutron star?
3. A thin, rectangular sheet of metal has mass M and sides of length a and
b. Use the parallel-axis theorem to calculate the moment of inertia of the
sheet for an axis that is perpendicular to the plane of the sheet and that
passes through one corner of the sheet.
Transcribed Image Text:1. If moment of inertia of an object is 2.5kgm? about its rotation axis. How much torque (constant) will it require to start from rest and move it to angular speed of 400 rev/min in 8 seconds? 2. Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly 1014 times as great as that of ordinary solid matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star's initial radius was 7 x 10 km and its final radius is 16km. If the original star rotated once in 30 days, find the angular speed of the neutron star? 3. A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.
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