Problem 2 a lever ab is hinged at c and attached to a...

Problem 2 A lever AB is hinged at C and attached to a control cable at A. If the lever is subjected to a 120-lb at B as shown, a) Determine the tension in the cable AD. b) The reaction at C. 15 in. B 10 in. C 20° A 120 lb D 12 in.

Transcript

00:01 To solve this problem let us draw the free body diagram first so the free body diagram looks like this which i am drawing here just look at it carefully after that i will simplify the problem further so this is the arab diagram which i am drawing here here you can write the value of angle is equal to 60 degree here this is point c here in this side it is c x here in this side it is cy and and this distance is of 250 mm and here you can also write the value as 200 m mm now this is point b and here the value is here this is point a here you can write the value as fad sign 30 degree here you can write the evaluage fad f ad and going forward and on further simplification just look at it carefully from c to d let meet the point this is point d this is point c this is point c meet this two point so going forward and on further simplification you can write the value edge here it is 200 newton and here you can write the value edge 200 sine 30 degree which is equal to 100 mm now going forward in the above f bd in the above free body diagram triangle a just look at it carefully in triangle aced aced aced is isis with angle c which is equal to 90 degree plus 30 degree which is equal to 120 degree angle a is equal to angle d is equal to 1 by 2 180 degree minus 120 degree that is equal to 30 degree then cable da form angle of then cable da forms angle of angle of 30 degree plus 30 degree which is equal to 60 degree with horizontal now finally i can write summation of mc is equal to 0 or f a d sine 30 degree multilateral 25m .m.

03:55 Minus 200 newton multiplication 100 m m is equal to 0.

04:02 Finally you can write the value of f ad will be equal to 2 00000 divided by 250 multiplication sign 30 degree that is equal to 160 newton.

04:19 Now on solving part 2 of this problem...

Question

Problem 2 A lever AB is hinged at C and attached to a control cable at A. If the lever is subjected to a 120-lb at B as shown, a) Determine the tension in the cable AD. b) The reaction at C. 15 in. B 10 in. C 20° A 120 lb D 12 in.

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