3. A 3m long uniform ladder of mass m = 10 kg leans up against a frictionless wall as shown. The ladder resting on the floor experiences a coefficient of friction, µs = 0.4. The angle the ladder makes with the horizontal is 0. А. What is the minimum angle, 0, (non-zero!) the ladder can make with the horizontal and not slip? В. If you now place the ladder at an angle 0 = 60°, what is the magnitude and direction of the frictional force on the ladder? С. 70kg man get without the ladder slipping? With the ladder at that same 60° angle, how high off the ground could a

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Chapter8: Rotational Motion
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Problem 74A
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3. A 3m long uniform ladder of mass m =
10 kg leans up against a frictionless wall
as shown. The ladder resting on the floor
experiences a coefficient of friction, µs =
0.4. The angle the ladder makes with the
horizontal is 0.
А.
What is the minimum
angle, 0, (non-zero!) the ladder
can make with the horizontal and
not slip?
В.
ladder at an angle 0 = 60°, what is the magnitude and direction of the frictional
force on the ladder?
If you now place the
С.
With the ladder at that same 60° angle, how high off the ground could a
70kg man get without the ladder slipping?
D.
Suppose the man wants to climb to the top of the ladder while it remains
at that 60° angle. So he decides to attach a rope (massless of course!) to the
middle of the ladder and extending horizontally to the wall where he attaches it.
What will be the tension in the rope when he reaches the top of the ladder?
Transcribed Image Text:3. A 3m long uniform ladder of mass m = 10 kg leans up against a frictionless wall as shown. The ladder resting on the floor experiences a coefficient of friction, µs = 0.4. The angle the ladder makes with the horizontal is 0. А. What is the minimum angle, 0, (non-zero!) the ladder can make with the horizontal and not slip? В. ladder at an angle 0 = 60°, what is the magnitude and direction of the frictional force on the ladder? If you now place the С. With the ladder at that same 60° angle, how high off the ground could a 70kg man get without the ladder slipping? D. Suppose the man wants to climb to the top of the ladder while it remains at that 60° angle. So he decides to attach a rope (massless of course!) to the middle of the ladder and extending horizontally to the wall where he attaches it. What will be the tension in the rope when he reaches the top of the ladder?
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