Question

Problem Statement: if k 1000 N/m, c 100 N-s/m, Mo-25 N.m and the dise parameters are given as: a. R-25 cm b. T(thickness) 2.5cm c. P (density) 7850 kg/m Conduct the following: 1. Derive the governing equation for the system shown in Fig.2. and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (x(t) using suitable computer software (eg. Matlab, excel,.etc) for o 1000 rpm, xo 5cm and , = 15cm/s Mo cos cof a(t) Cylinder, mass m R k No slip 30°

please solve step by step

Answer 1

Scution Gtven that Tf ktooo N-m,Mo 25 N-M and the disc parameters ate given as a R 25 cm 6. T(hicknes) 2 5 Cm a85o Km2 Accondng to FBD shown here- aing Torque method Gveming eation Now Te2RCeo togue due teht omponnt disturbance toue there wilt be no becaue, Tnitially at no the ofweight compayent is babnced by oaBuuds

Netural freuency 2keL (R 2 (prv) Loo Mr 38.3.3 38153 LO 12 Td|S* need clamping factor 2 Wn 24 (101ls) /MRU co X2 2x1o 18

Wp 9845 Mo S6-22( NET

2.5 30 ehaseangle