physics

posted by .

A ladder can fall for two reasons. If it is set too steep and the climber gets their mass to the left of the ladder's base, the ladder likely will fall over backwards. If the ladder is set at too shallow of an angle the required force of friction between the ladder and the ground might be too great and the base of the ladder will slip. Assume that there is no friction between the ladder and the wall and that the ladder is effectively weightless. The coefficient of friction between the base of the ladder and the ground is 0.49. The person using the ladder will be 76% of the way up the ladder. If the person climbing the ladder has a weight of 970 newtons and the ladder is 5.7 meters long, how far from the wall can the base of the ladder be placed and not slip?

Distance from wall =

  • physics -

    sum moments about the top of the ladder.
    Is this a weightless ladder? the ladder weight is not given.

    clockwise positive, and my sketch has clockwise toward the wall.

    d is the distance from base to wall
    Theta is the base angle, so d/5.7=sinTheta

    sum moments about the top wall junction point with the ladder.

    W*(.24*5.7*970g sinTheta)-970g*.76*5.7*cosTeta*mu=0

    (the sum of the moments about any point is equal to zero)

    divde through by cosTheta, then solve for tanTheta, then d=5.7cosTheta

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder …
  2. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder …
  3. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder …
  4. College Physics

    A 75.0 kg ladder that is 3.00 m in length is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.20 m from the base of the ladder. The coefficient of static friction at the base of the ladder …
  5. 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. …
  6. Complex Physics Problem

    A ladder can fall for two reasons. If it is set too steep and climber gets their mass to the left of the ladder's base, the ladder likely will fall over backwards. If the ladder is set at too shallow of an angle the required force …
  7. 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 …
  8. 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 …
  9. Math

    A roofer must set up a 40-foot ladder against the side of a house. He sets the ladder so that the distance from the base of the ladder to the wall is 1/5 of the length of the ladder. To the nearest degree, what acute angle does the …
  10. phsics

    uniform ladder 25 ft long rests against a smooth vertical wall. The ladder weighs 15 Kg. The lower end of the ladder is 15 ft from the wall. A man weighing 80 Kg climbs up the ladder until he is 20 ft from the base of the ladder, (20 …

More Similar Questions