Question

Adınız Soyadınız:. Imzaniz Q4-_Select ONLY ONE of the following quistions (a,b or c) and answer. (20 points) a) The disk is originally rotating at wo = 10 rad/s . If it is subjected to a constant angular acceleration of 20 rad/s2, determine the magnitudes of the velocity of A and the n and t components of acceleration of point A when the disk undergoes 2 revolutions. b) The springs are with unstretched length of 2.0 m each .If the 20 kg cylinder is released from rest at h=0.Determine the required stiffness k of each spring so that its motion is arrested (stops) when h=0.6 m. c) For the system shown the viscose damping coefficient c=20 N.s/m and k=30 N/m ,check weather it is (underdamping,critically damped or overdamped) WWW 8 kg Fitur Tz +U2 2+2 14k12-11270-2898llortul

Answer 1

At first, we will determine the velocity and acceleration components. Then we will calculate the spring stiffness coefficient. Then we will determine that the system is underdamped.

AYAny-> wherre, w=Rotational velocity <lunad/s =1oX0.8 nE Madius 0,8m (Bo) Nia velociny

An= whn =1o x0.8 =80 m) k? (morma) At = diM=2oX8 Tw= Rotaional aceelerabion = 201ad a? ] b> 0,bm To = 16.699° 90° W=mg =20x9,81 =196,2 N \Here, W-196.2N T= Tension in spcing

as Ab; C, Donoting the load pongs Applying Lami'$ rule, Bin1907@) in (180-28) W 196-2 7 n/180-2x Mb,699) N6.699) -7T=3A1.402 N Incaease in the length of ¿bring = 0,088 m m [k= 8prcing 8titness? 341,402 0:088 = 3879,568 N/m

e=20NA/0 C> In the given bastem, The equation will be, where, m=8u8 C=20NAM fowen) K-30 N/o Amk =20"-4 x8 X30 =40 - 960 - 560 of So, the case is undendemping (the)