Finding the Acceleration of a Moving Bus Using Newton's Laws

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SUMMARY

The discussion centers on calculating the acceleration of a bus using Newton's Laws, specifically through the analysis of forces acting on a hanging hammer. The hammer hangs at rest at an angle of 74 degrees with respect to the ceiling of the bus, indicating the presence of acceleration. By applying Newton's Second Law, the acceleration can be determined from the angle and gravitational forces acting on the hammer. This problem exemplifies the application of physics principles in real-world scenarios.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of vector resolution in physics
  • Familiarity with trigonometric functions, particularly sine and cosine
  • Basic grasp of free-body diagrams
NEXT STEPS
  • Study the application of Newton's Second Law in various contexts
  • Learn about free-body diagrams and their role in force analysis
  • Explore trigonometric functions in physics problems
  • Investigate real-world applications of acceleration in vehicles
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Students of physics, educators teaching mechanics, and anyone interested in applying Newton's Laws to practical problems in motion.

tedjj
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Hello,
Could anyone help me with this problem?

"A hammer is hanging by a light rope from the ceiling of a bus. The ceiling of the bus is parallel to the roadway. The bus is traveling in a straight line on a horizontal street. You observe that hammer hangs at rest with respect to the bus when the angle between the rope and the ceiling of the bus is 74 degrees. What is the acceleration of the bus?"

Thank you very much

--Tedi
 
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To get help, show us what you've come up with so far. (Hint: Analyze the forces acting on the hammer. Use Newton's 2nd law.)
 
ohhh OMG I have just solved it :smile: Why did it take me soo long... Thanks anyway:P
 

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