Question

EVENEET 21 T Accode Abedre No Spacing ements, choose Check for Updates. EMET Kinematics of Machinery Quiz 4 tion: A Porter governor has the following specification Mass of the ball mkg Mans of the sleeve ME Armlength A m Armlength mm Tintin fra Last two digits of your student ID S X last we digits of your dont ID 115 x lest two digits of your student ID 20 x last two of your student ID The inclination of the perm to the vertical are 29 and 30 for lower and higher spoed respectively, Determine the range of the speed of the governo BC M 2

Answer 1

Ans you didn't mention your Id Assume last two digits of your Id as 10 Given mass of ball (mi= lokg mass of sleeve (M? = 50kg Arm length AB = 150mm = 15cm Arm length Be = 200 mm = 2000m prickom ponce = 20N , 20 kg. - 2000 m sz If governon at low speed 2= 20° ao from upper triangle sinzo = 7 r = 5.13cm Coszo=T5 h=14.09 cm

For finding angle ß For lower triangle Aanko ſing = sing- 02 B = 14.86° From Formula N2= mg + ( Mg It) (1+r) mh k= tanp tanß tand taniu:86 = 0.729 Ke 1 tan 20 9-9.81 m/s2 = 980 cm/s2 uz (1076980) + (507C960) I 2000) (1+0.729) N²= 24 (10)(1409) N2- 9800 + (501C289 [2009)1.129) 1 2 140.9

N²= 382.46 N² = 357.92 N=19.56 N = 18.91 when governon at high speed 2 = 30° is goin 20 c sin 30 = 1 is conso = 2 r= 7.5cm h = 13cm sing 75 D20 B = 22.02° fan22-02 k = tanß k=0.7 fana tanzo N2 mg + ( Mg + F/ Citk) mh we (1076980) + / (501(989 2000) (1+0.7) (102 (13) N²=408.84 N2=382.69 NE; 19.56 N = 20:21

speed range of the governor (18.91 to 20.21 ) x60 91 pm
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