Fig. 150
Solutions^143
The distances traversed by the block in uni-
formly varying motion at the initial velocity v
before it stops can be written in the form
1 '
V2^ V 2 7 V 2
1 2 =
2a
6=
2a2 2 2a
Taking into account the relations for the accelera-
tions al , a 2 , and a, we can find the distance I tra-
versed by the block along the horizontal guide:
(^21112)
I-1
1± 1 2 •
1.43. We shall write the equations of motion for
the block in terms of projections on the axis direct-
Fig. 151
ed downwards along the inclined plane. For the
upward motion of the block, we take into account
all the forces acting on it: the force of gravity mg,
the normal reaction N, and friction Ftr (Fig. 151),