Conical Pendulum Speed · PhysicsBowl 2017 #26

Physics · mechanics

Problem

A 4.00 kg mass is in uniform circular motion as shown in the figure. The string to which the mass is attached has a length of

L = 3.00

m and forms an angle of

\theta = 50.0°

with the vertical. What is the speed of the mass? (Use

g = 10.0 \frac{m}{s^2}

) [Figure: Conical pendulum with mass at angle θ from vertical] (A)

5.23 \frac{m}{s}

(B)

5.54 \frac{m}{s}

(C)

5.98 \frac{m}{s}

(D)

6.62 \frac{m}{s}

(E)

6.90 \frac{m}{s}