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

Fig. 154

148 Aptitude Test Problems in Physics

The body also has the same acceleration. We can
write the equation of motion for the body:

v 2

N. Mah= Mat sin a— M cos a,

where N is the force of normal pressure exerted

by the load on the body. At the moment of separa-
tion of the load, N = 0 and
2
at sin a=
cos a.

The acceleration component at at the moment of
separation of the load is only due to the force of
gravity:

at = g cos a.

Thus, the velocity of the load at the moment of
separation is

v= Vgl sin a,

and the velocity of the body at the same moment is

u = v sin a. = sin a Vgl sin a.

According to the energy conservation law, we have

mv (^2). a
mgl mgl sin a+ -- 2 --+ Mv 2 sine
Substituting the obtained expression for v at the
moment of separation and the value of sin a