Acceleration Down an Inclined Plane Problem

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SUMMARY

The discussion focuses on calculating the acceleration of a block sliding down a frictionless inclined plane at an angle of 23.7 degrees. The acceleration is determined using the formula a = g * sin(theta), where g is the acceleration due to gravity (9.81 m/s²). The block's speed at the bottom of the incline, starting from rest and sliding down a distance of 9.87 meters, is calculated using the kinematic equation v² = u² + 2as, resulting in a final speed of approximately 13.97 m/s.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of kinematics
  • Familiarity with trigonometric functions, specifically sine
  • Concept of gravitational acceleration (g = 9.81 m/s²)
NEXT STEPS
  • Study the derivation of acceleration on inclined planes using free body diagrams
  • Learn about kinematic equations for uniformly accelerated motion
  • Explore the effects of friction on inclined planes and how to calculate it
  • Investigate real-world applications of inclined plane physics in engineering
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding motion on inclined planes.

nycjay222
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The block shown in figure below lies on a smooth plane tilted at an angle theta = 23.7o to the horizontal.

A) Determine the acceleration of the block as it slides down the plane. Ignore friction.

B) If the block starts from rest x = 9.87 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?
 
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nycjay222 said:
The block shown in figure below lies on a smooth plane tilted at an angle theta = 23.7o to the horizontal.

A) Determine the acceleration of the block as it slides down the plane. Ignore friction.

B) If the block starts from rest x = 9.87 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

Show some effort. Start with the free body diagram.
 

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