Question

HD Webcam HD Vdeo Con al BAssignment submission - MCE Bb EMT 4923 Mechanical vibrations lauls (E) X https://mylearn.hct.ac.ae/bbcswebdav/pid-12428971-dt-content-rid-20811679 1/courses/201830 30831/LO2.pdf 3. A vibratory system is defined by the following parameters: m-3 kg, k = 10ON/m, C 3N-s/m. Determine a. the damping factor (e ), b. the natural frequency of damped vibration, decrement, d. the number of cycles after which the original amplitude is reduced to 20 logarithmic C. percent 2πε X1 ln [ωd ων1 , δ V1-82) Xn n W4SLDPRT DAde ENG e

note:Please write it with your hand font by A4 sheet

Answer 1

Please look at attached detailed solution.

solution Give mkg, Kto0 N,C 3N-S Damping fa ctors )= 2 Natural foequeney of damped vitoation C) ogathmic decrerent () 9 Nmbes ofCycles ofler which Craiginal arplitude is reduced to 20% Cm) w CNatral featerncy fundhmped K f00 tampng faetor () Cecoitial damprActrs 2man-2Km 2t003 2300 N-S

0.0866 2 300 Answes Damped Natura foeeny Cd) -2 foo 1-(0.0866 Answes 5,7518 87d/s Logarathrnic decoement (s)-21 I-2 27x 0.0866 O.08662 8 0.5461 Ans wers

Which Numbes of ycles afles Onal ampibde is educed to 20 O.2 D.S461 O,2 2.9471 Angwers ie. between Completon of 2nd & amplitude will educe to 3 Cycle 20%