T'he density of the Earth at any distance r from its centre approximately p = [14.2 – 11.6("/R)] x 10 kg m-³ where R is the radius of the Earth. Show that this density leads to a moment o inertia I = 0.33MR² about an axis through the centre, where M is the mass of the Earth. Find the radius of gyration of the following shapes. %3D f Circular disc about the centre Thick walled cylinder about the axis of symmetry Solid cylinder about the axis of symmetry Hollow cylinder about the axis of symmetry Sphere about a diameter Uniform thin rod about a distance ab from one end. bign yd boponn00 volad enuni adi ai esbin

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The density of the Earth at any distance r from its centre i
approximately p = [14.2 – 11.6("/R)] x 10 kg m-³ where R is the
radius of the Earth. Show that this density leads to a moment o
inertia I = 0.33MR² about an axis through the centre, where M is the
mass of the Earth.
Find the radius of gyration of the following shapes.
%3D
Circular disc about the centre
Thick walled cylinder about the axis of symmetry
Solid cylinder about the axis of symmetry
Hollow cylinder about the axis of symmetry
Sphere about a diameter
Uniform thin rod about a distance ab from one end.
bign yd boponnoo 918 woled enugiladi oi 2sbinsq uot s
olgnstom o to ouno
sT 228m sldigilgs
Transcribed Image Text:The density of the Earth at any distance r from its centre i approximately p = [14.2 – 11.6("/R)] x 10 kg m-³ where R is the radius of the Earth. Show that this density leads to a moment o inertia I = 0.33MR² about an axis through the centre, where M is the mass of the Earth. Find the radius of gyration of the following shapes. %3D Circular disc about the centre Thick walled cylinder about the axis of symmetry Solid cylinder about the axis of symmetry Hollow cylinder about the axis of symmetry Sphere about a diameter Uniform thin rod about a distance ab from one end. bign yd boponnoo 918 woled enugiladi oi 2sbinsq uot s olgnstom o to ouno sT 228m sldigilgs
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