Find the Inverse Laplace transformation for the function:-10 -sL(f(t))=s-2

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Answered: Find the Inverse Laplace transformation…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.17P

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ᴀ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ ʙᴀꜱᴇᴅ ᴏɴ ɪᴅᴇᴀʟ ᴠᴀᴘᴏʀ ᴄᴏᴍᴘʀᴇꜱꜱɪᴏɴ ᴄʏᴄʟᴇ ᴏᴘᴇʀᴀᴛᴇꜱ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ʟɪᴍɪᴛꜱ ᴏꜰ -20 ᴅᴇɢ ᴄ ᴀɴᴅ 40 ᴅᴇɢ ᴄ . ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀɴᴛ ᴇɴᴛᴇʀꜱ ᴛʜᴇ ᴄᴏɴᴅᴇɴꜱᴇʀ ᴀꜱ ꜱᴀᴛᴜʀᴀᴛᴇᴅᴠᴀᴘᴏʀ ᴀɴᴅ ʟᴇᴀᴠᴇꜱ ᴀꜱ ꜱᴀᴛᴜʀᴀᴛᴇᴅ ʟɪQᴜɪᴅ . ᴛʜᴇ ᴇɴᴛʜᴀʟᴘʏ ᴀɴᴅ ᴇɴᴛʀᴏᴘʏ ᴠᴀʟᴜᴇꜱ ꜰᴏʀ ꜱᴀᴛᴜʀᴀᴛᴇᴅ ʟɪQᴜɪᴅ ᴀɴᴅᴠᴀᴘᴏʀ ᴀᴛ ᴛʜᴇꜱᴇ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇꜱ ᴀʀᴇ ɢɪᴠᴇɴ ɪɴ ᴛʜᴇ ᴛᴀʙʟᴇ ʙᴇʟᴏᴡ|ɪꜰ ᴛʜᴇ ᴄɪʀᴄᴜʟᴀᴛɪᴏɴ ʀᴀᴛᴇ ᴏꜰ ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀɴᴛ ɪꜱ 0.025 ᴋɢ/ꜱᴇᴄ , ᴛʜᴇ ʀᴇꜰʀɪɢᴇʀᴀᴛɪᴏɴ ᴇꜰꜰᴇᴄᴛ ɪꜱ ᴇQᴜᴀʟ ᴛᴏᴀ) 1.2 ᴋᴡ ʙ) 2.5 ᴋᴡ ᴄ) 3.2 ᴋᴡ ᴅ) 2.1 ᴋᴡ
1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?
Derive the differential equation

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