A conical pendulum is formed by attaching a 500 g ball to a 1.0-m-long string, then allo...

A conical pendulum is formed by attaching a 500 g ball to a 1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 20 cm. Figure P6.57 shows that the string traces out the surface of a cone, hence the name.

a. What is the tension in the string?

b. What is the ball’s speed?

c. What is the period of the ball’s orbit?

Hint: Determine the horizontal and vertical components of the forces acting on the ball, and use the fact that the vertical component of acceleration is zero since there is no vertical motion.