Question:
Mass
m1 on the frictionless table is connected by a string through a hole in the table to a hanging mass
m2. With what speed must
m1 rotate in a
circle of radius
r if
m2 is to remain hanging at rest?
My answer:
Fnet
ym2 = T - m
2g
For m
2, a = 0
Therefore,
0 = T - m
2g
T = m
2g
Fnet
xm1 = T
m
1a = T
m
1a = m
2g
Therefore,
a = m
2g / m
1
Since a = v^2 / r, v = sqrt(ra)
Therefore,
v = sqrt(rm
2g / m
1)
Is this correct?