Question: A conical pendulum can be constructed by attaching one end of a string to some type of overhead support such as a door frame, ceiling,

A conical pendulum can be constructed by attaching one end of a string to some type of overhead support such as a door frame, ceiling, or other support. Then the other end of the string is attached to a reasonably dense object that will not be extensively impacted by air resistance. Set the object into circular motion by giving it a push tangent to the circle to establish horizontal circular motion. This may take a few practice runs to perfect.

mass is 1kg, velocity is 2 m/s, length is 3 m, angle is 20*

  1. Using Newton's laws, you can sum the forces in the horizontal and vertical directions. Horizontal: F=Fc=mv2/r=Tx Vertical: F=0=Tcos()-mg The centripetal motion in the horizontal direction is caused by Tx which is why the centripetal force expression is set equal to Tx. Use mv2/r=Tx to calculate the expected speed (v) of the object. Recall that if you need the mass of your object, you can take the weight in Newtons and use Fg=mg to solve for the mass. Additionally, the trigonometric relationship between r, L, and is sin()=r/L.

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