Consider the conical pendulum, a mass on the end of a string, with the other end
ID: 1966617 • Letter: C
Question
Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle of 11.5o with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 13.2 kg, and the length of the string L is 2.2 m, what is the speed (in m/s) of the mass as it swings?
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Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle of 11.5o with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 13.2 kg, and the length of the string L is 2.2 m, what is the speed (in m/s) of the mass as it swings?
Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle theta of 11.5 degree with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 13.2 kg, and the length of the string L is 2.2 m, what is the speed (in m/s) of the mass as it swings?Explanation / Answer
Balancing force in vertical direction
T cos = mg
T sin = mv2/r ( centripetal force)......r=Lsin
Dividing
tansin = v2/Lg
v = gl tansin
putting values
v = 0.935 m/s