Two light, inextensible strings and are attached to a small ring from which an…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Two light, inextensible strings

OA

and

OB

are attached to a small ring

O

from which an ornament of mass

10\,\text{kg}

is suspended vertically. String

OA

is inclined at

60^{\circ}

to the vertical on the left of

O

, while string

OB

is inclined at

30^{\circ}

to the vertical on the right of

O

. (a) Draw the free-body diagram of the ring. (b) Determine the tension in each string. (c) If each string can safely withstand a maximum tension of

150\,\text{N}

, calculate the greatest mass of the ornament that can be supported without breaking either string, keeping the inclination angles unchanged.