How Do Seat Reactions Change with Speed and Acceleration at a 45 Degree Angle?

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SUMMARY

The discussion focuses on calculating the horizontal and vertical reactions of a chair supporting a 75 kg man seated at a 45-degree angle, with a speed of 6 m/s and an acceleration of 0.5 m/s². Key equations of motion, including Newton's second law and components of forces, are essential for solving this problem. The analysis requires understanding how speed and acceleration influence the forces acting on the chair and the seated individual. A step-by-step approach is recommended for clarity in deriving the reactions.

PREREQUISITES
  • Newton's Second Law of Motion
  • Equations of Motion in two dimensions
  • Understanding of force components at angles
  • Basic principles of static and dynamic equilibrium
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  • Study the derivation of forces in inclined planes using Newton's laws
  • Learn about the effects of acceleration on forces in dynamic systems
  • Explore the application of trigonometric functions in resolving forces
  • Review examples of reaction forces in mechanical systems
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Mechanical engineers, physics students, and anyone involved in dynamics and statics analysis will benefit from this discussion.

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A man having the mass of 75 kg sits in the chair which
is pin-connected to the frame BC. If the man is always seated in
an upright position, determine the horizontal and vertical
reactions of the chair on the man at the instant theta = 45
degrees

. At this
instant he has a speed of 6 m/s, which is increasing at 0.5 m/s^2

if you can answer this great, but I am looking for someone who can more less give me a step by step to solve this. Thanks for the hlep
 

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Write down all the equations of motion you know that might be useful in solving this.
 

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