Calculating Acceleration and Tension in Vertical Circular Motion

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SUMMARY

The discussion focuses on calculating acceleration and tension in a vertical circular motion scenario involving a mass of 0.40 kg on a cord of length 0.40 m. At the highest point, the tension in the cord is 0.80 N. To find the acceleration and speed at the lowest point, participants confirm using the formula mv²/r = F - mg, where F is the net force. For calculating tension at the lowest point, it is essential to consider the centripetal force and all acting forces in a free-body diagram.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force concepts
  • Knowledge of free-body diagrams
  • Basic algebra for solving equations
NEXT STEPS
  • Study the application of centripetal force in vertical circular motion
  • Learn how to draw and analyze free-body diagrams
  • Explore the relationship between tension and gravitational force in circular motion
  • Investigate the effects of varying mass and radius on acceleration in circular motion
USEFUL FOR

Physics students, educators, and anyone interested in understanding dynamics in circular motion, particularly in calculating forces and accelerations in vertical scenarios.

rachael
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7 A body of mass 0.40 kg is whirled in a vertical circle on
the end of a cord of length 0.40 m. If the tension in the
cord is 0.80 N when the body is at its highest point,
find:

b the acceleration and the speed of the mass at the
lowest point
c the tension in the cord at the lowest point.

How would you find the velocity for part b?
Would you use mv^2/r=F-mg if not what do i use?
for part c what do i use to find the tension at the lowest point?Do i use the same formula as well for b?
 
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Yes, you can work out the net force acting (which will always be towards the centre of the circle) and then apply Newton's law.
For part c you already know the centripetal force (you would have worked it out in a), then draw a diagram of all the forces acting when the body is at the bottom of the circle.
 
thank you...
 

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