1. A uniform ladder of mass m and length is leaning at rest against a wall at an angle 0. The coefficient of static friction between the floor and the ladder is MS₁, and that between the wall and the ladder is μs2. (a) Draw an FBD of the ladder when it is at rest. (b) Find out the measure of in terms of us1 and us2. (Hint: Consider torque and rotational equilibrium) (c) What is the trajectory, i.e., path of motion, of the center of the ladder as it slides down?

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
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1. A uniform ladder of mass m and length is leaning at rest against a wall at an angle 0.
The coefficient of static friction between the floor and the ladder is μ5₁, and that
between the wall and the ladder is Ms2.
(a) Draw an FBD of the ladder when it is at rest.
(b) Find out the measure of in terms of usi and μs2. (Hint: Consider torque and rotational
equilibrium)
(c) What is the trajectory, i.e., path of motion, of the center of the ladder as it slides down?
(d) Given that the instantaneous speed of the top of the ladder is VÀ at some moment as it
slides down, what are the speeds of the other end and the center of the ladder at the
same moment?
A
2. A ring with mass m is attached to a string. The string holds a block M as well through a
pulley system. m is moving downward with an acceleration a' relative to the string.
What is the friction between the ring m and the string in terms of g? The pulley and
string are both ideal.
mo
M
Transcribed Image Text:1. A uniform ladder of mass m and length is leaning at rest against a wall at an angle 0. The coefficient of static friction between the floor and the ladder is μ5₁, and that between the wall and the ladder is Ms2. (a) Draw an FBD of the ladder when it is at rest. (b) Find out the measure of in terms of usi and μs2. (Hint: Consider torque and rotational equilibrium) (c) What is the trajectory, i.e., path of motion, of the center of the ladder as it slides down? (d) Given that the instantaneous speed of the top of the ladder is VÀ at some moment as it slides down, what are the speeds of the other end and the center of the ladder at the same moment? A 2. A ring with mass m is attached to a string. The string holds a block M as well through a pulley system. m is moving downward with an acceleration a' relative to the string. What is the friction between the ring m and the string in terms of g? The pulley and string are both ideal. mo M
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