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- anonymous

a 150kg ladder leans against a smooth wall,making an angle 30 degrees with the floor.The center of gravity of the ladder is one third the way up from the bottom. How large a horizontal force must the floor provide if the ladder is not to slip?

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- anonymous

- jamiebookeater

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- ujjwal

Do you have a diagram? the floor provides horizontal force to what? the ladder or wall.. I guess you are talking about ladder..
But are you sure it is the center of gravity of wall whose position is given? I guess it should be of ladder..

- anonymous

yes the question modified....

- anonymous

guys i need help @experimentX @Vincent-Lyon.Fr

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- Vincent-Lyon.Fr

Are you sure the 30° angle is with the floor and not with the wall?

- Vincent-Lyon.Fr

Since the ladder is in equilibrium, net torque about any point must be zero.
Chose point A where ladder is touching the floor.|dw:1337890332208:dw|
It will allow you to find the value of \(N_B\).
Then write that net force is also zero. Finding horizontal component of \(\vec R_A\) is obvious.

- anonymous

the 30degrees is with the floor

- Vincent-Lyon.Fr

Ok, now, have you tried applying the method I described earlier?

- anonymous

no idea @Vincent-Lyon.Fr

- Vincent-Lyon.Fr

Do you know how to express the moment (torque) of a force about a certain point?

- anonymous

yep i do but get confused with the center of gravity constraint

- Vincent-Lyon.Fr

What do you mean "constraint"?

- anonymous

the fact that the center of gravity of the ladder is one third the way up from the bottom.

- Vincent-Lyon.Fr

Well, as you know where it is, you know its distance from A is l/3.
That enables you to work out moment of weight about point A.

- anonymous

pls i need help its not clear..since the lenght of AB is not given..aw do we work out moment about point A

- anonymous

|dw:1340887287738:dw| 30cos50 X 150 = R X bc

- anonymous

@Vincent-Lyon.Fr u dig me?

- anonymous

according to me no matter where the center of gravity lies. horizontal force applied must be 150cos30' .

- Vincent-Lyon.Fr

Here is the answer to your problem (see attached file):

- anonymous

Thanks for the lecture @Vincent-Lyon.Fr

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