Kisze
Spy
- Joined
- Jun 3, 2009
- Messages
- 210
- Reaction score
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So I've got a metal rod with mass 5 kg and length 2 meters leaning against a vertical wall. At the top of the rod there is a wheel or something which removes the upward static friction between the rod and the wall. Between the bottom end of the rod and the floor the friction coefficient is 0.4 and the rod is at the point where it almost starts to glide along the floor.
First off I calculated the normal force from the wall on the top of the rod which I got to 19.6 N since because it's in equilibrium, the normal force from the wall on the top of the rod has to be canceled out by the friction between the bottom of the rod and the floor. The friction is of course calculated by multiplying the normal force from the floor on the bottom of the rod by the friction coefficient. And the normal force on the bottom of the rod from the floor has to equal the weight of the rod (to cancel it out), so I got weight of the rod * coefficient of friction = normal force from the wall on the top of the rod, which is 19.6.
However, how can I calculate the angle between the wall and the top of the rod? Hints will be appreciated.
First off I calculated the normal force from the wall on the top of the rod which I got to 19.6 N since because it's in equilibrium, the normal force from the wall on the top of the rod has to be canceled out by the friction between the bottom of the rod and the floor. The friction is of course calculated by multiplying the normal force from the floor on the bottom of the rod by the friction coefficient. And the normal force on the bottom of the rod from the floor has to equal the weight of the rod (to cancel it out), so I got weight of the rod * coefficient of friction = normal force from the wall on the top of the rod, which is 19.6.
However, how can I calculate the angle between the wall and the top of the rod? Hints will be appreciated.