Questions and Answers
What do support reactions prevent?
The translation of a body in a given direction by exerting a force on the body in the opposite direction, and the rotation of a body in a given direction by exerting a couple moment on the body in the opposite direction.
What is a cable in the context of support reactions?
What defines a weightless link?
What is a roller's reaction?
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What type of reaction does a rocker provide?
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What does a smooth contacting surface react with?
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What is the reaction of a roller or pin in a confined smooth slot?
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What kind of reaction does a smooth pin or hinge provide?
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What does a member fixed connected to a collar on a smooth rod react with?
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What does a fixed support provide in terms of reactions?
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Internal forces are included on the Free Body Diagram (FBD).
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Where is the center of gravity when a body is uniform?
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What happens when a support that prevents translation of a body in a particular direction is removed?
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What happens when a support that prevents rotation is removed?
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What kind of vectors are couple moments?
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What kind of vectors are forces?
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Study Notes
Support Reactions
- Support reactions prevent translation by exerting a force in the opposite direction and prevent rotation through a couple moment.
Cable Reaction
- In cable systems, the reaction is a tension force directed away from the member along the cable's line.
Weightless Link Reaction
- For a weightless link, the reaction force acts perpendicular to the contact surface.
Roller Reaction
- Roller supports exert a force perpendicular to the surface they contact.
Rocker Reaction
- Similar to rollers, rockers apply a force normal to the surface at the point of contact.
Smooth Contacting Surface
- Reactions at smooth contacting surfaces also act perpendicular to the surface.
Roller in Confined Slot
- In a confined smooth slot, the reaction force is perpendicular to the slot.
Pin Connected to Collar
- A member pinned to a collar on a smooth rod generates a reaction perpendicular to the rod.
Smooth Pin or Hinge
- Smooth pins or hinges yield two unknowns: the magnitude and direction of the resultant force.
Fixed Support
- Fixed supports produce three unknowns: a couple moment and two force components or the couple and resultant force magnitude and direction.
Internal Forces
- Internal forces are excluded from Free Body Diagrams (FBDs) and do not affect exterior conditions.
Center of Gravity for Uniform Bodies
- For uniform bodies, the center of gravity coincides with the geometric center or centroid.
Center of Gravity for Non-Uniform Bodies
- For bodies with irregular material distribution, the center of gravity is determined uniquely based on the shape and distribution.
Effects of Support Removal
- Removing a support that prevents translation allows a force to act in that direction.
- Removal of support that prevents rotation results in a couple moment acting on the body.
Types of Vectors
- Couple moments are classified as free vectors, which are independent of their point of application.
- Forces are sliding vectors, meaning they can act at any point along their line of action.
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Description
This quiz explores various types of support reactions in mechanics, such as cable reactions, roller reactions, and smooth contacting surface reactions. Each type is designed to prevent translation or rotation in structures and mechanisms. Test your knowledge on these critical concepts in mechanical engineering.
