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In a conical pendulum, if the angle of the string with the vertical is increased

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Question: In a conical pendulum, if the angle of the string with the vertical is increased, what happens to the horizontal component of the tension?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Increases

Solution: 

As the angle increases, the horizontal component of tension increases to provide the necessary centripetal force.

In a conical pendulum, if the angle of the string with the vertical is increased

Practice Questions

Q1
In a conical pendulum, if the angle of the string with the vertical is increased, what happens to the horizontal component of the tension?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

In a conical pendulum, if the angle of the string with the vertical is increased, what happens to the horizontal component of the tension?
Correct Answer: Horizontal component of tension increases.
  • Step 1: Understand what a conical pendulum is. It is a pendulum that swings in a circular motion while the string traces out a cone shape.
  • Step 2: Identify the forces acting on the pendulum. The main forces are tension in the string and gravity.
  • Step 3: Recognize that the tension in the string has two components: a vertical component (which balances the weight) and a horizontal component (which provides centripetal force).
  • Step 4: Note that as the angle of the string with the vertical increases, the string becomes more horizontal.
  • Step 5: Understand that when the angle increases, the vertical component of tension decreases because it has to balance the weight of the pendulum bob.
  • Step 6: Realize that to maintain circular motion, the horizontal component of tension must increase to provide the necessary centripetal force.
  • Step 7: Conclude that as the angle increases, the horizontal component of tension increases.
  • Conical Pendulum Dynamics – Understanding the forces acting on a conical pendulum, including tension and its components.
  • Centripetal Force – The role of horizontal tension in providing the necessary centripetal force for circular motion.
  • Trigonometric Relationships – The relationship between the angle of the string and the components of tension in a pendulum.
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