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- 12 - Three dimensional F1 = 48i + 73j - 14k F2 = 73i - 11j + 131k for vectors F1 + F2 =? do the collection.A) 666i - 593j - 43kB) 121i + 62j + 117kC) 174i - 174j + 328kD) 154i - 49j + 160kE) 106i - 17j + 112k1) 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) ?ᴡʜᴀᴛ ꜰᴏʀᴄᴇ ɪɴ ᴋɴ ɪꜱ ɴᴇᴄᴇꜱꜱᴀʀʏ ᴛᴏ ᴘᴜɴᴄʜ 4 ꜱɪᴍᴜʟᴛᴀɴᴇᴏᴜꜱ ꜱQᴜᴀʀᴇ ʜᴏʟᴇꜱ, 30 ᴍᴍ x 30 ᴍᴍ, ɪɴ ᴏɴᴇ ꜱᴛʀᴏᴋᴇ ꜰʀᴏᴍ ᴀ 7 ᴍᴍ ᴛʜɪᴄᴋ ᴘʟᴀᴛᴇ ᴍᴀᴅᴇ ᴏꜰ ᴀ ᴍᴀᴛᴇʀɪᴀʟ ᴅᴇꜱᴄʀɪʙᴇᴅ ᴀꜱ ᴀɪꜱɪ 301, 1/4 ʜᴀʀᴅ ꜱᴛᴀɪɴʟᴇꜱꜱ ꜱᴛᴇᴇʟ? ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ 4 ꜱɪɢɴɪꜰɪᴄᴀɴᴛ ꜰɪɢᴜʀᴇꜱ.
- Answers (a) er=15.30-250.2/r^2 , etheta=15.30+250.2/r^2 (b) delta c = 8.12x10^-4 inassume that F={5i+5j+15k}kN.Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The mass density in the sphere is ρ = k / r, Kg / m³, where k is a constant, and r is the distance from the center of the sphere to an arbitrary point within it. If k = 3 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 4h, measured with respect to the center of the sphere. Ans: 5.655e-10
- ᴀ 4' ʜɪɢʜ, 3' ᴅɪᴀᴍᴇᴛᴇʀ ᴛᴀɴᴋ ᴡʜᴏꜱᴇ ᴛᴏᴘ ɪꜱ ᴏᴘᴇɴ ᴛᴏ ᴛʜᴇ ᴀᴛᴍᴏꜱᴘʜᴇʀᴇ ɪꜱ ɪɴɪᴛɪᴀʟʟʏ ꜰɪʟʟᴇᴅ ᴡɪᴛʜ ᴡᴀᴛᴇʀ. ᴛʜᴇ ᴅɪꜱᴄʜᴀʀɢᴇ ᴘʟᴜɢ ꜰʀᴏᴍ ᴛʜᴇ ʙᴏᴛᴛᴏᴍ ᴏꜰ ᴛʜᴇ ᴛᴀɴᴋ ɪꜱ ᴘᴜʟʟᴇᴅ ᴏᴜᴛ ᴀɴᴅ ᴀ ᴡᴀᴛᴇʀ ᴊᴇᴛ ᴡʜᴏꜱᴇ ᴅɪᴀᴍᴇᴛᴇʀ ɪꜱ 0.5" ꜱᴛʀᴇᴀᴍꜱ ᴏᴜᴛ ᴀꜱ ꜱʜᴏᴡɴ ɪɴ ᴛʜᴇ ꜰɪɢᴜʀᴇ ʙᴇʟᴏᴡ. ᴛʜᴇ ᴀᴠᴇʀᴀɢᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴏꜰ ᴛʜᴇ ᴊᴇᴛ ɪꜱ ᴠ= ꜱQᴜᴀʀᴇ ʀᴏᴏᴛ ᴏꜰ 2ɢʜ, ᴡʜᴇʀᴇ ʜ ɪꜱ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏꜰ ᴡᴀᴛᴇʀ ɪɴ ᴛʜᴇ ᴛᴀɴᴋ, ᴍᴇᴀꜱᴜʀᴇᴅ ꜰʀᴏᴍ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏꜰ ᴛʜᴇ ʜᴏʟᴇ (ᴠᴀʀɪᴀʙʟᴇ), ᴀɴᴅ ɢ ɪꜱ ᴛʜᴇ ɢʀᴀᴠɪᴛᴀᴛɪᴏɴᴀʟ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ. ɪꜰ ɪᴛ ᴛᴀᴋᴇꜱ 757ꜱᴇᴄᴏɴᴅꜱ ᴛᴏ ᴅʀᴏᴘ ᴛʜᴇ ᴡᴀᴛᴇʀ ʟᴇᴠᴇʟ ꜰʀᴏᴍ 4' ᴛᴏ 2' ꜰʀᴏᴍ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏꜰ ᴛʜᴇ ʜᴏʟᴇ, ʜᴏᴡ ʟᴏɴɢ ᴡɪʟʟ ɪᴛ ᴛᴀᴋᴇ ꜰᴏʀ ᴛʜᴇ ᴡᴀᴛᴇʀ ʟᴇᴠᴇʟ ɪɴᴛᴏ ᴛʜᴇ ᴛᴀɴᴋ ᴛᴏ ᴅʀᴏᴘ ᴛᴏ 1' ꜰʀᴏᴍ ᴛʜᴇ ʙᴏᴛᴛᴏᴍ ᴏꜰ ᴛʜᴇ ᴛᴀɴᴋ ꜱᴛᴀʀᴛɪɴɢ ꜰʀᴏᴍ 2' ꜰʀᴏᴍ ᴛʜᴇ ʙᴏᴛᴛᴏᴍ ᴏꜰ ᴛʜᴇ ᴛᴀɴᴋ?From the following diagram find with k1=20N/m, k2=30 N/m, k3=25 N/m, k4=35 N/m, k5=50N/m and k6=60N/m, m=10kg A) the equivalent spring B) the displacement C) the work performed11) A cylindrical rod of constant radius andconstant shear modulus, G is of length Land located between z=0 and z=L.t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions areΦ(0)=0 AND Φ(L)=0 Find Φ(z) and graph (1/GJ)*Φ(Z), and (1/GJ)*(dΦ/dz) ?
- Force F = - 4.4Ni + 6.4Nj acts on a small rock with a position vector r = 3.1mi + 8.5m j relative to the origin. In unit vector notation, what is the resulting torque on the rock about the point ( 2.4,4.7,9.9)m^ prime ?if a 136.51g Al rod (c=0.900 j/g°C) is at 100.0°C and placed into 250.0g of water at 21.8°C, what is the temperature of the system (rod + water) at equilibrum assuming no losses to the surrounding? a) 46°Cb) 30°Cc) 206°Cd) 18°CFor the system below, EI is constant. If x = 6.73 m from point B, determine the value of EI(Δ) ? If x = 2.49 m from point B, determine the value of EI(θ) ? If x = 7.57 m from point B, determine the value of EI(Δ) ? If x = 4.79 m from point B, determine the value of EI(θ) ?