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

4. Mechanics

43

in the same vertical plane perpendicular

to the plane of the wall.

1.90. A thin perfectly rigid weightless rod

with a point-like ball fixed at one end is

deflected through a small angle a from its

Fig. 46 Fig. 47

equilibrium position and then released.

At the moment when the rod forms an

angle (3 < a with the vertical, the ball un-

dergoes a perfectly elastic collision with

an inclined wall (Fig. 47).

Determine the ratio T (^1) /T of the period of
oscillations of this pendulum to the period
of oscillations of a simple pendulum having
the same length.
1.91*. A ball of mass m falls from a certain
height on the pan of mass M (M >> m) of a
spring balance. The rigidity of the s prin
is k.
Determine the displacement Ax of the
point about which the pointer of the bal-
ance will oscillate, assuming that the colli-
sions of the ball with the pan are perfectly
elastic.
1.92. A bead of mass m can move without
friction along a long wire bent in a verti-