Question Detail
Question
From the equations of a conical pendulum, T sin θ = mv²/r and T cos θ = mg, what is the resulting expression for tan θ?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Dividing the first equation by the second: (T sin θ)/(T cos θ) = (mv²/r) / (mg). This simplifies to tan θ = v²/(gr).
Hint
Divide the equation for the horizontal forces by the equation for the vertical forces. The mass and tension cancel out.