Aptitude Test Problems in Physics Science for Everyone by S Krotov ( PDFDrive.com )

Fig. 30

1. Mechanics

31

1.58. A horizontal weightless rod of length

3/ is suspended on two vertical strings. Two

loads of mass m 1 and m 2 are in equilibrium

at equal distances from each other and from

the ends of the strings (Fig. 29).

Fig. 28

Fig. 29

Determine the tension T of the left string

at the instant when the right string snaps.

1.59. A ring of mass m connecting freely

two identical thin hoops of mass M each

starts sliding down. The hoops move apart

over a rough horizontal surface.

Determine the acceleration a of the ring

at the initial instant if L_A0 (^102) =
(Fig. 30), neglecting the friction between
the ring and the hoops.