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

26 Aptitude Test Problems in Physics

neglecting the friction between them.

1.47. A weightless rod of length^1 with a

small load of mass m at the end is hinged at

point A (Fig. 20) and occupies a strictly ver-

tical position, touching a body of mass M.

A light jerk sets the system in motion.

I

For what mass ratio Mint will the rod

form an angle a = n/6 with the horizontal

at the moment of the separation from the

body? What will be the Velocity u of the

body at this moment? Friction should be

neglected.

1.48. A homogeneous rod AB of mass m

and length (^1) leans with its lower end against
the wall and is kept in the inclined position
by a string DC (Fig. 21). The string is tied
at point C to the wall and at point D to the
rod so that AD = ABI3. The angles formed
by the string and the rod with the wall are
a and 3 respectively.