- #1
chuxingli
- 9
- 0
the question:
You have a supporting point and a ball connected by a
string of length 100cm. There is a peg at a distance d
below the supporting point. You release the ball from
rest at an instance when the ball is totally
horizontal to the point, it swings along an arc. When
the string catches on the peg, the ball swings upward
but does not complete a circular path around the peg.
Instead, the abll leaves its circular path, and
strikes the peg.
1) Find the distance d below the point of support at
which the peg should be placed for this to happen.
2) You have to find a function d(theta) at which the
peg needs to be placed for this to happen.
You have a supporting point and a ball connected by a
string of length 100cm. There is a peg at a distance d
below the supporting point. You release the ball from
rest at an instance when the ball is totally
horizontal to the point, it swings along an arc. When
the string catches on the peg, the ball swings upward
but does not complete a circular path around the peg.
Instead, the abll leaves its circular path, and
strikes the peg.
1) Find the distance d below the point of support at
which the peg should be placed for this to happen.
2) You have to find a function d(theta) at which the
peg needs to be placed for this to happen.