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 acting on the pendulum bob?
Practice Questions
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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 acting on the pendulum bob?
T = mg
T = mg cos(θ)
T = mg sin(θ)
T = mg tan(θ)
Tension provides the vertical component to balance the weight: T cos(θ) = mg.
Questions & Step-by-step Solutions
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Q
Q: 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 acting on the pendulum bob?
Solution: Tension provides the vertical component to balance the weight: T cos(θ) = mg.
