Tension, Free Body Diagrams and SpeedA 1kg mass hangs from a fixed point on a 1m long, light, inextensible, string. It has a velocity v that is entirely horizontal, and so it moves in a horizontal circle. This circle is centered on the vertical line below the point of support, and the string makes an angle of 45 degrees with the vertical at all times. This is known as a conical pendulum.
- a) What is the tension in the string when the mass is moving?
- T sin(45o)=mg
b) Find the speed of the mass.
The centripetal force is the horizontal component of the tension: