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Find the degree of the differential equa...

Find the degree of the differential equation ` y”-12 cosec y=0 `.
a) 1
b) 2
c) 4
d) Not defined

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

a. The distance form the axis
`(AD)=sqrt3/2xx10=5sqrt3cm`

Therefore moment of inertial about the axis BC will be
`l=mr^2=200xx(5sqrt3)^2`
`=200xx25xx3`
`=15000 gm-cm^2`
`=1.5xx10&-3kg-m^2`
b. The axis of rotation let pass through A ankd perpendicular to the plane of triangle.
Therefore the torque will be produced by mass B and C.
Therefore Net moment of inertia
`=l=mr^2=mr^2`
`=2mr^2`
` =2xx200xx10^2`
`=400xx100`
`=40000gm-cm^2`
`=4xx10^-3kg-m^2`
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