A ladder of length 5 m is resting against a smooth wall, its point of contact being just below a first floor window. The bottom of the ladder rests on the ground and the coefficient of friction between the ladder and the ground is 0.3. A person of mass 75 kg climbs the ladder, which has a mass of 4 kg. The bottom of the ladder is at the point of slipping, outward from the wall, just as the person reaches the mid-point of the ladder’s length. Draw a free body diagram of the ladder and calculate the maximum frictional force opposing the slipping motion. In addition, determine the angle of inclination (θ) of the ladder, when the person is at the mid-point and the ladder is on the verge of slipping.
A ladder of length 5 m is resting against a smooth wall, its point of contact being just below a first floor window. The bottom of the ladder rests on the ground and the coefficient of friction between the ladder and the ground is 0.3. A person of mass 75 kg climbs the ladder, which has a mass of 4 kg. The bottom of the ladder is at the point of slipping, outward from the wall, just as the person reaches the mid-point of the ladder’s length. Draw a free body diagram of the ladder and calculate the maximum frictional force opposing the slipping motion. In addition, determine the angle of inclination (θ) of the ladder, when the person is at the mid-point and the ladder is on the verge of slipping.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A ladder of length 5 m is resting against a smooth wall, its point of contact being just below a first floor window. The bottom of the ladder rests on the ground and the coefficient of friction between the ladder and the ground is 0.3. A person of mass 75 kg climbs the ladder, which has a mass of 4 kg. The bottom of the ladder is at the point of slipping, outward from the wall, just as the person reaches the mid-point of the ladder’s length. Draw a free body diagram of the ladder and calculate the maximum frictional force opposing the slipping motion. In addition, determine the angle of inclination (θ) of the ladder, when the person is at the mid-point and the ladder is on the verge of slipping.
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