A ball is attached to the hoitrizontal cord of length L.

(1)

Find the speed of the ball at the lowest point of its path, when it is released.

Use law of conservation of energy to determine the speed of the ball at lowest path.

Total mechanical energy equal the sum of kinetic and potential energies of the objects.

$\"\"$ .

$\"\"$ and $\"\"$ .

$\"\"$

At point 1, $\"\"$

At point 2, $\"\"$ as it reaches the destination.

Thus,

$\"\"$

Therefore, the speed of the ball at lowest point in its path is $\"\"$ .

(2)

A peg is located directly h units below the point of attachment of the cord such that $\"\"$ .

$\"\"$

From the figure, height above the ball to peg is $\"\"$ .

Hence the radius of the circle is $\"\"$ .

Therefore, the diameter of the circular path about the peg is $\"\"$ .

Find the speed of the ball when it reaches top of the circular path at point 2.

From the law of conservation of energy,

$\"\"$

At point 1, $\"\"$

At point 2, $\"\"$ .

$\"\"$

Therefore, the speed of the ball top of the circular path at point 2. is $\"\"$ .