Posted by **keitanako** on Monday, December 9, 2013 at 1:54pm.

A person of mass m2= 85.0 kg is standing on a rung, one third of the way up a ladder of length d= 3.0 m. The mass of the ladder is m1= 15.0 kg, uniformly distributed. The ladder is initially inclined at an angle Î¸= 35.0âˆ˜ with respect to the horizontal. Assume that there is no friction between the ladder and the wall but that there is friction between the base of the ladder and the floor with a coefficient of static friction Î¼s .

Start this problem by drawing a free-body force diagrams showing all the forces acting on the person and the ladder. Indicating a choice of unit vectors on your free-body diagrams may be helpful.

(a) Using the equations of static equilibrium for both forces and torque, find expressions for the normal and horizontal components of the contact force between the ladder and the floor, and the normal force between the ladder and the wall. Consider carefully which point to use for computing the torques. Determine the magnitude of the frictional force (in Newton) between the base of the ladder and the floor below.

fs=

(b) Find the magnitude for the minimum coefficient of friction between the ladder and the floor so that the person and ladder does not slip.

Î¼s=

(c) Find the magnitude Cladder,ground (in Newton) of the contact force that the floor exerts on the ladder. Remember, the contact force is the vector sum of the normal force and friction.

Cladder,ground=

unanswered

Find the direction of the contact force that the floor exerts on the ladder. i.e. determine the angle Î± (in radians) that the contact force makes with the horizontal to indicate the direction.

Î±=

unanswered

## Answer This Question

## Related Questions

- physics - A ladder of length 5m has mass of 25 Kg. the ladder is leaned against ...
- physics - A ladder of length 5m has mass of 25 Kg. the ladder is leaned against ...
- physics - A ladder of length 5m has mass of 25 Kg. the ladder is leaned against ...
- Physics Classical Mechanics - A person of mass m2= 85.0 kg is standing on a rung...
- Physics - A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0...
- physics - (c) A ladder with length L and mass m rests against a wall. Its upper ...
- Physics Classical Mechanics - A person of mass m2= 85.0 kg is standing on a rung...
- Physics - A ladder of mass M and length 6 m rests against a frictionless wall at...
- Physics - A ladder of mass M and length 2 m rests against a frictionless wall at...
- physics - A person with mass 70 kg is climbing a ladder (length 6m, mass 20 kg) ...

More Related Questions