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Mathematics 12 Online
ganeshie8 (ganeshie8):

Last question on static equilibrium For the stepladder shown, sides AC and CE are each 2.44 m long and hinged at C. Bar BD is a tie-rod 0.762 m long, halfway up. A man weighing 854 N climbs 1.80 m along the ladder. Assuming that the floor is frictionless and neglecting the mass of the ladder, find (a) the tension in the tie-rod and the magnitudes of the forces on the ladder from the floor at (b) A and (c) E. (Hint: Isolate parts of the ladder in applying the equilibrium conditions.)

ganeshie8 (ganeshie8):

|dw:1446721512178:dw|

ganeshie8 (ganeshie8):

I am getting too many variables... not sure about what point I should balance the torques to make it easy..

ganeshie8 (ganeshie8):

|dw:1446725528485:dw|

ganeshie8 (ganeshie8):

I have shown normal forces from ground, tension, and the weight in above diagram not sure about the point C...

Parth (parthkohli):

Actually with the forces you've shown, the second part of the ladder can definitely not be in rotational equilibrium. You'll probably have to add another force exerted on the rod at the hinge.

Parth (parthkohli):

Oh, you did add that to your post. Yeah.

ganeshie8 (ganeshie8):

like this ? would it also be like tension ? |dw:1446725812984:dw|

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