Physics

A ladder of mass M and length 2 m rests against a frictionless wall at an angle of 47 degrees to the horizontal. The coefficient of static friction between the ladder and the floor is 0.5. What is the maximum distance along the ladder a person of mass 13M can climb before the ladder starts to slip?

  1. 👍 0
  2. 👎 0
  3. 👁 258
  1. i sitll have no idea how to do this. please help!

    1. 👍 0
    2. 👎 0
    posted by Costa
  2. Draw the free-body diagram.
    Pivot is on the floor.
    Normal force of floor is pointing up(Nf).
    Friction is in positive direction on the horizontal(f).
    Normal of the wall is pointing in negative direction(Nw).
    + for counterclockwise, - for clockwise motion
    remember that the θ in rFsinθ is the angle between r and F so draw the ladder cutting into the wall so you can draw the angle between the ladder and Nw.

    ΣFy=0; Nf-13Mg-Mg=0 ∴ Nf=14Mg
    ΣFx=0; -Nw+f=0 ∴ Nw=f
    Nw=f=μNf=[μ14Mg] (you'll need this later)

    Στ=0; Nf(0)+[Nw]sin133°+(d-(2/2)13Mgsin137°-(2/2)Mgsin137°=0

    replace Nw and solve for d.

    1. 👍 0
    2. 👎 0
    posted by Jesus
  3. oops my bad, the weight of the person is in clockwise direction so it's negative

    Στ=0; Nf(0)+[Nw]sin133°-(d-(2/2))13Mgsin137°-(2/2)Mgsin137°=0

    1. 👍 0
    2. 👎 0
    posted by Jesus

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A ladder of mass M and length 6 m rests against a frictionless wall at an angle of 50 degrees to the horizontal. The coefficient of static friction between the ladder and the floor is 0.5. What is the maximum distance along the

    asked by Samantha on December 11, 2014
  2. physics

    In Figure 12-6, a ladder of length L = 12 m and mass m = 46 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 9.2 m above the pavement on which the lower end rests (the pavement is not

    asked by Sarah on December 29, 2010
  3. physics

    (c) A ladder with length L and mass m rests against a wall. Its upper end is a distance h above the ground (Figure 13.3). The center of gravity of the ladder is one-third of the way up the ladder. A fire fighter with mass M climbs

    asked by PURITAE on May 21, 2013
  4. physics

    Romeo takes a uniform 13.7-m ladder and leans it against the smooth (frictionless) wall of the Capulet residence. The ladder's mass is 23.2 kg and the bottom rests on the ground 3.43 m from the wall. When Romeo, whose mass is 70

    asked by Nick on February 15, 2013
  5. physics

    Romeo takes a uniform 13.7-m ladder and leans it against the smooth (frictionless) wall of the Capulet residence. The ladder's mass is 23.2 kg and the bottom rests on the ground 3.43 m from the wall. When Romeo, whose mass is 70

    asked by Nick on February 17, 2013
  6. Physics

    Romeo takes a uniform 15.0-m ladder and leans it against the smooth (frictionless) wall of the Capulet residence. The ladder's mass is 20.2 kg and the bottom rests on the ground 3.07 m from the wall. When Romeo, whose mass is 70

    asked by Jerry on February 19, 2012
  7. Physics

    A ladder ABC of length 20m is leaning against a wall at an angle from the horizontal. There is a roller at the top of the ladder that rests against the vertical wall. The coefficient of friction between the ladder and the

    asked by Lisa on January 9, 2016
  8. Physics

    A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0 m above the ground. A painter is climbing up the ladder. The mass of the ladder is 12.0 kg and the mass of the painter is 60.0 kg. The ladder begins to slip at

    asked by Richard on March 24, 2014
  9. please help asap!

    A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0 m above the ground. A painter is climbing up the ladder. The mass of the ladder is 12.0 kg and the mass of the painter is 60.0 kg. The ladder begins to slip at

    asked by Bobby on March 24, 2014
  10. AP Physics

    A ladder of unknown length and mass of 29 kg rests on a rough floor, and leans against a rough wall. The coefficient of static friction between the ladder and both the floor and wall are 0.68. Hanging on the ladder are two masses.

    asked by Mary on December 4, 2010

More Similar Questions