Question

QUESTION 5a A system consists of a 0.6 kg rod AOB and 0.6 kg disc CD is attached to each other with cable BD. Figure Q5a shows that at position 1, the rod is vertical when it started to move due to moment M = 2.4 Nm that wind up the cable to the disc one cycle until the rod reaches horizontal position at 2. Determine the rotational velocity of the rod, waob at position 2. The spring attached to the middle of rod AOB has stiffness, k = 50 N/m and unstretched length of 0.3 m. 10 marks SOALAN 5a Satu sistem rod AOB seberat 0.6 kg dan ceper CD seberat 0.6 kg disambung bersama dengan kabel BD. Rajah S5a menunjukkan pada kedudukan 1, rod itu menegak ketika ia mulai bergerak disebabkan oleh daya kilas M = 2.4 Nm yang menggulung kabel pada ceper satu pusingan sehingga rod itu melintang pada kedudukan 2. Tentukan kelajuan putaran rod, WA0B pada kedudukan 2. Pegas yang bersambung di tengah rod AOB mempunyai pekali pegas, k = 50 N/m dan panjang tanpa regangan 0.3 m. 10 markah SOLUTIONS/ PENYELESAIAN B 1 Figure Q5a Rajah S5a 1.0 m emmy 2 0.2 m AW 0.3 m D R 0.225 m 0.3 m

Answer 1

ANSWER PAGE) → GIVEN DAFTD systen consists of 0.6 0.6kg rod AOB 0-6 aisc CD. Ko so mlm Moment M: 2.4 Nm # un stretched length = 6.3m osa 1.om 2 0.2m A 0.3m D R20-225 M 0. >> _By considering the position 1 : Im 61 fs 0.4m 6.am 0.sm А. Here B is the and position AB 08 Tan o (But 08 208) OB

PAGE 2 Han 21 O= uso V tan a 0.4 i aston do 36.870 By equilibrium 9 moment aboud o, Tsino e fs sind 0:4 Te 50X3, Xo.339 Tån 45 - fs sin (36.87) 2014 [spring force Is =ka; Ko so Nim] T 16.958, - length of spring in position 1 시 ((0.3)² + 2014? free length 0.5m - 0-3m . 2, -2, - free length Mo.om 22 .: T- 16.95 0.2 T: 3,4 N the disc By considering т Mopment about a la Melem - (TxR) 1- (TXR) .. IK

= 2.4- (2-39x0-225) (PAGE 3 weu R 0.aasm 0015875 X 1.635 Nm =10 7. 786 rad 152 I M=2.4Nm MR² 5x0.64 Co-Qas) = 0.0151875 tym? 2 At position a Angular velocity of disc i [(wo)] = [wo;] + 20 OD Woi co OD for one rotational alise ax107. 78 x ant .; (wop) * Angular Velocity of 36.803 radly diss Wor – 36.803 radls ; NDF and in tight considering cable as perfect inextensible tension velocity of rod Targestial velocity of disc at D Tangential Velocity of disc, XR 0 VB WDAG VD WDP VD = 36 803 * 0.225 . Vo = 8.88 m/s. CS

PALEYS delocity of B' (with respect to o), Vo = 8.2€ml Also Via WAOB XOB! WAOB vol OR 8.28) WAOB 8.281 madls Angular velocit rod at pojition- a 8-281 rad)s. nie WAOB & please upvote - CS Scanned with CamScanner