- 35

- 0

**1. Homework Statement**

A ball if mass M attached to a string of length L moves in a circle in a vertical plane as shown above. At the the top of the circular path, the tension in the string is twice the weight of the ball. At the bottom, the ball just clears the ground. Air resistance is negligible. Express all answers in terms of M, L, and g

a) Determine the magnitude and direction of the net force on the ball at the top of the path

b) Determine the speed V(i) of the ball at the top

the string is now cut

c) Determine the time it takes the ball to reach the ground.

d) Determine the horizontal distance the ball travels before hitting the ground

**2. Homework Equations**

F=ma

W=mg

centripetal A=V(tangental)^2/r

d=rt

Vfinal=Vinitial+at

**3. The Attempt at a Solution**

a) i tried to set up an equilibrium of forces equation using tension and weight but got 0 points

b) i got 2 points i used the centripetal acceleration equation and get Vt=sqrt(MgL)

c)0 points... i really messed this up... I should have gotten this...

d) i used the d=rt but had the incorrect time so if i fix c (or someone explains it) then this is easy

PLEASE PLEASE PLEASE HELP