A ladder is propped up on a rough floor with against a frictionless wall. The center of mass of the ladder is 10 ft from the bottom of the ladder, whose overall length is 25 ft, as shown in the figure. The ladder weighs 80 lbs. The coefficients of friction between the ladder and = 0.5 and uk = 0.3. (The wall is frictionless; i.e., µwall the floor are µs 0) What is the magnitude and direction of the force that the vertical wall pushes against the ladder? Give your answer in pounds.
A ladder is propped up on a rough floor with against a frictionless wall. The center of mass of the ladder is 10 ft from the bottom of the ladder, whose overall length is 25 ft, as shown in the figure. The ladder weighs 80 lbs. The coefficients of friction between the ladder and = 0.5 and uk = 0.3. (The wall is frictionless; i.e., µwall the floor are µs 0) What is the magnitude and direction of the force that the vertical wall pushes against the ladder? Give your answer in pounds.
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Transcribed Image Text:7. A ladder is propped up on a rough floor with against a frictionless wall. The center of mass
of the ladder is 10 ft from the bottom of the ladder, whose overall length is 25 ft, as shown
in the figure. The ladder weighs 80 lbs. The coefficients of friction between the ladder and
the floor are us = 0.5 and µk = 0.3. (The wall is frictionless; i.e., Hwall = 0)
%3D
What is the magnitude and direction of the force that the vertical wall pushes against the
ladder? Give your answer in pounds.
(Hint: Pounds are unit of force. Try to solve the problem symbolically first - if done
correctly, you won't need any unit conversions.)
25ft
10ft
53°
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