A packing crate of mass 40 kg is pulled by a rope as shown. The coefficient of static friction between the crate and the floor is 0.35. If a = 40°, determine (a) the magnitude of the force P required for impending motion of the crate and (b) whether sliding or tipping is impending. 0.5 m C P -0.8 m B D
A packing crate of mass 40 kg is pulled by a rope as shown. The coefficient of static friction between the crate and the floor is 0.35. If a = 40°, determine (a) the magnitude of the force P required for impending motion of the crate and (b) whether sliding or tipping is impending. 0.5 m C P -0.8 m B D
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A packing crate of mass 40 kg is pulled by a rope as shown. The coefficient of static friction between the crate and the floor is 0.35. If α = 40°, determine:
(a) The magnitude of the force P required for impending motion of the crate.
(b) Whether sliding or tipping is impending.
### Diagram Explanation:
- The diagram shows a rectangular packing crate resting on a horizontal floor.
- The crate has a height of 0.5 m and a base width of 0.8 m.
- Point A is at the top-left corner, and point B is on the top-right corner where the rope is attached.
- The force P is applied at an angle α of 40° to the horizontal through the rope attached to the top edge of the crate.
- Line CD represents the contact surface between the crate and the floor.
The problem requires determining whether the crate will begin to slide or tip over when subjected to force P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dc59083-9079-450b-a932-9385574703bf%2Fc1c109b0-4faa-4736-b353-95151b25e8bd%2F3xbtlbq_processed.png&w=3840&q=75)
Transcribed Image Text:A packing crate of mass 40 kg is pulled by a rope as shown. The coefficient of static friction between the crate and the floor is 0.35. If α = 40°, determine:
(a) The magnitude of the force P required for impending motion of the crate.
(b) Whether sliding or tipping is impending.
### Diagram Explanation:
- The diagram shows a rectangular packing crate resting on a horizontal floor.
- The crate has a height of 0.5 m and a base width of 0.8 m.
- Point A is at the top-left corner, and point B is on the top-right corner where the rope is attached.
- The force P is applied at an angle α of 40° to the horizontal through the rope attached to the top edge of the crate.
- Line CD represents the contact surface between the crate and the floor.
The problem requires determining whether the crate will begin to slide or tip over when subjected to force P.
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