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

46 Aptitude Test Problems in Physics

1.98. A weightless rigid rod with a load at

the end is hinged at point A to the wall so

that it can rotate in all directions (Fig. 51).

A

Fig. 50 Fig. 51

The rod is kept in the horizontal position

by a vertical inextensible thread of length

1, fixed at its midpoint. The load receives a

momentum in the direction perpendicular

to the plane of the figure.

Determine the period T of small oscilla-

tions of the system.

1.99. One rope of a swing is fixed above the

other rope by b. The distance between the

poles of the swing is a. The lengths / 1

and / (^2) of the ropes are such that /: / 22 =
a2 + b2 (Fig. 52)^.
Determine the period T of small oscilla-
tions of the swing, neglecting the height of
the swinging person in comparison with
the above lengths.
1.100. Being a punctual man, the lift oper-
ator of a skyscraper hung an exact pendu-
lum clock on the lift wall to know the end
of the working day. The lift moves with an
upward and downward accelerations during
the same time (according to a stationary