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Static Friction

A 13m ladder ...

Question

A 13m ladder is placed against a smooth vertical wall with its lower end 5m from the wall. what should be the minimum coefficient of friction between ladder and floor so that it remains in equilibrium.

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Q. If a ladder weighing

250 N

is placed against a smooth vertical wall having a coefficient of friction between it and floor

0.3

, then what is the maximum force of friction available at the point of contact between the ladder and the floor?

4 m

long ladder weighing

25 k g

rests with its upper end against a smooth wall and lower end on rough ground.What should be the minimum coefficient of friction between the ground the ladder for it to be inclined at

60^{\circ}

with the horizontal without slipping? (Take

g = 10 m s^{- 2}

)

Q. A uniform ladder which is

5 m

long has a mass of

30 k g

with its upper end against a smooth vertical wall and its lower end is on a rough ground. The bottom of the ladder is

3 m

from the wall. Calculate the frictional force between the ladder and the ground.

(g = 10 m / s^{2})

Q. In the figure, a ladder of mass

m

is shown leaning against a wall. It is in static equilibrium making an angle

θ

with the horizontal floor. The coefficient of friction between the wall and the ladder is

μ_{1}

and that between the floor and the ladder is

μ_{2}

.

Q. A ladder of length l and mass m is placed against a smooth vertical wall, but the ground is not smooth. Coefficient of friction between the ground and the ladder is

μ

θ

at which the ladder will stay in equilibrium is:

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