Conical Pendulum | Physics Motion Laws

In summary, a conical pendulum is a type of pendulum that swings in a circular motion. It consists of a bob, a string or rod, and a fixed point of suspension. The motion of a conical pendulum is governed by circular motion and gravity, and its period can be calculated using the equation T = 2π√(L/g). Some real-life applications of conical pendulums include Foucault pendulums, carnival rides, and scientific experiments.
  • #1
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I can do the first part, however am unsure of how to deduce the motion cannot take place unless the inequality is satisfied. Can someone please explain this part?

Thanks
 
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  • #2
Assume the opposite inequality holds, and plug it into the equality you got (giving you an inequality) and see if a contradiction pops up
 
  • #3
ahh yes, i see, thank you!
 

1. What is a conical pendulum?

A conical pendulum is a type of pendulum in which the bob (weight) swings in a circular motion rather than a back and forth motion.

2. What are the components of a conical pendulum?

A conical pendulum consists of a bob (weight), a string or rod, and a fixed point of suspension.

3. What is the physics behind the motion of a conical pendulum?

The motion of a conical pendulum is governed by the laws of circular motion and the force of gravity. The bob moves in a circular path due to the centripetal force of the string or rod, while also experiencing a downward force from gravity.

4. How is the period of a conical pendulum calculated?

The period of a conical pendulum can be calculated using the equation T = 2π√(L/g), where T is the period (time for one full revolution), L is the length of the string or rod, and g is the acceleration due to gravity.

5. What are some real-life applications of conical pendulums?

Conical pendulums can be found in various objects such as Foucault pendulums, carnival rides, and even some clocks. They are also used in scientific experiments to demonstrate the principles of circular motion and gravity.

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