A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r. Find a. the speed of the particle and b. the tension in the string. Such a system is called a conical pendulum.

Options

A. `v=(2rsqrt(g))/((L^(2)-r^(2))^(1//2)) and T=(3mgL)/((L^(2)-r^(2))^(1//2))`
B. `v=(rsqrt(g))/((L^(2)-r^(2))^(1//4)) and T=(mgL)/((L^(3)-r^(3))^(1//3))`
C. `v=(3rsqrt(g))/((L^(2)-r^(2))^(1//2)) and T=(mgL)/((L^(2)-r^(2))^(1//2))`
D. `v=(rsqrt(g))/((L^(2)-r^(2))^(1//4)) and T=(mgL)/((L^(2)-r^(2))^(1//2))`

Answer

D