Work, Energy and Power · Potential energy and conservation

A bead

P

is sliding on a frictionless semi-circular string (

ACB

) and it is at point

S

t = 0

and at this instant the horizontal component of its velocity is

v

. Another bead

Q

of the same mass as

P

is ejected from point

A

t = 0

along the horizontal string

AB

, with the speed

v

, friction between the beads and the respective strings may be neglected in both cases. Let

t_P

and

t_Q

be the respective times taken by beads

P

and

Q

to reach the point

B

, then the relation between

t_P

and

t_Q

We corrected a printing error in the original paper

Source printed “A bead $P$ sliding on” (“is” missing); the subscript printed as “ $t_p$ ” (bead $P$ ) in the stem and in options (2)–(4).

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