A conical pendulum is a type of pendulum consisting of a bob or weight at the end of a line or string. The bob is free to rotate about the string and swing in a circular path around the string’s midpoint. The path of the conical pendulum is shaped like a cone and the bob follows a circular path as it swings around.

The diagram below shows a conical pendulum, with the string attached to the top of the cone and the bob at the bottom. The string is attached to a fixed point, and the bob can swing in a circular path around the fixed point.

The question posed by the sketch is: what is the equation for the path of the bob? The answer is that the equation of the path of the conical pendulum bob is a polar equation, given by:

r = l * cos(θ)

where l is the length of the string and θ is the angle at which the string makes with the vertical.

This equation describes how the bob moves around the fixed point, and is the same equation used to describe the motion of a pendulum. It is a polar equation because the bob does not move in a straight line but rather in a circular path around the fixed point.

To summarize, the answer to the question posed by the sketch is that the equation for the path of the conical pendulum bob is a polar equation, given by: r = l * cos(θ).