F=ma 2024 Problem 14

Physics · mechanics

Problem

Question: A bead of mass

m

can slide frictionlessly on a vertical circular wire hoop of radius

20 cm

. The hoop is attached to a stand of mass

m

, which can slide frictionlessly on the ground. Initially, the bead is at the bottom of the hoop, the stand is at rest, and the bead has velocity

2 m/s

to the right. At some point, the bead will stop moving with respect to the hoop. At that moment, through what angle along the hoop has the bead traveled? (A)

30^{\circ}

. (B)

45^{\circ}

. (C)

60^{\circ}

. (D)

90^{\circ}

. (E)

120^{\circ}

. *Note: This problem references figure(s): `image_question/F=MA_2024_14_1.png`*

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