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

(soomView) #1

Solutions (^123)
wedge. The velocity of the load' relative to the
ground is vi = Vrel owed, i.e. (Fig. 133)
2uwed sin 4_=,( 2a sin- 2 a t, -
and the angle formed by the velocity v (^1) with the
horizontal is
13- 2 = const.
Thus, the load moves in the straight line forming
the angle fl = (n — a)/2 with the horizontal. The
Fig. 133
acceleration of the load on the wedge relative to
the ground is
ar--- 2a sin
1.21. The velocity of the ant varies with time
according to a nonlinear la*. Therefore, the mean
velocity on different segments of the path will not
be the same, and the well-known formulas for mean
velocity cannot be used here.
Let us divide the path of the ant from point A
to point B into small segments traversed in equal
time intervals At. Then At = A//val (AZ), where
vin (Al) is the mean velocity over a given segment
Al. This formula suggests the idea of the solution
of the problem: we plot the dependence of 1/vm (Al
n — a

Free download pdf