My Learning Cart
?
Categories
Account

A conical pendulum swings in a horizontal circle. If the angle of the string wit

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension in the string and the gravitational force?

Options:

  1. T = mg
  2. T = mg/cos(θ)
  3. T = mg/sin(θ)
  4. T = mg/tan(θ)

Correct Answer: T = mg/cos(θ)

Solution: 

Tension T provides the centripetal force and balances the weight, T = mg/cos(θ).

A conical pendulum swings in a horizontal circle. If the angle of the string wit

Practice Questions

Q1
A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension in the string and the gravitational force?
  1. T = mg
  2. T = mg/cos(θ)
  3. T = mg/sin(θ)
  4. T = mg/tan(θ)

Questions & Step-by-Step Solutions

A conical pendulum swings in a horizontal circle. If the angle of the string with the vertical is θ, what is the relationship between the tension in the string and the gravitational force?
  • Step 1: Understand that a conical pendulum swings in a circle while the string makes an angle θ with the vertical.
  • Step 2: Identify the forces acting on the pendulum: the tension (T) in the string and the gravitational force (weight, mg) acting downwards.
  • Step 3: Recognize that the tension in the string has two components: one that balances the weight (mg) and one that provides the centripetal force needed to keep the pendulum moving in a circle.
  • Step 4: The vertical component of the tension (T * cos(θ)) must balance the weight (mg), so we can write the equation: T * cos(θ) = mg.
  • Step 5: Rearranging this equation gives us the relationship between tension and gravitational force: T = mg / cos(θ).
  • Conical Pendulum Dynamics – Understanding the forces acting on a conical pendulum, including tension and gravitational force.
  • Centripetal Force – Recognizing that tension provides the necessary centripetal force for circular motion.
  • Trigonometric Relationships – Applying trigonometry to relate the angle of the string to the forces involved.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks