16 Aptitude Test Problems in Physics
Determine the acceleration al of the load
when it is still on the wedge.
1.21. An ant runs from an ant-hill in a
straight line so that its velocity is inversely
proportional to the distince from the centre
of the ant-hill. When the ant is at point A
at a distance / 1 = 1 m from the centre of
the ant-hill, its velocity v 1 = 2 cm/s.
What time will it take the ant to run
from point A to point B which is at a dis-
tance / 2 = 2 m from the centre of the ant-
hill?
1.22. During the motion of a locomotive
in a circular path of radius R, wind is blow-
ing in the horizontal direction. The trace
left by the smoke is shown in Fig. 8 (top
view).
Using the figure, determine the velocity
vwind of the wind if it is known to be con-
stant, and if the velocity v (^100) of the loco-
motive is 36 km/h.
1.23*. Three schoolboys, Sam, John, and
Nick, are on merry-go-round. Sam and John
occupy diametrically opposite points on a
merry-go-round of radius r. Nick is on an-
other merry-go-round of radius R. The po-
sitions of the boys at the initial instant are
shown in Fig. 9.
Considering that the merry-go-round
touch each other and rotate in the same di-
rection at the same angular velocity o,
determine the nature of motion of Nick
from John's point of view and of Sam from
Nick's point of view.
1.24. A hoop of radius R rests on a horizon-