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

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  1. Mechanics (^21)
    beam (Fig. 13). The rigidity of each rod is
    k 0 , and the angle between them is 2a.
    Determine the rigidity k of the system of
    rods relative to the vertical displacement
    Fig. 13
    of a hinge A under the 'action of a certain
    force F, assuming that displacements are
    small in comparison with the length of the
    rods.
    1.36. Two heavy balls are simultaneously
    shot from two spring toy-guns arranged on a
    horizontal plane at a distance s = 10 m
    from each other. The first ball has the ini-
    tial vertical velocity vi = 10 m/s, while
    the second is shot at an angle a to the hori-
    zontal at a velocity v 2 = 20 m/s. Each
    ball experiences the action of the force of
    gravity and the air drag F = ttv, p, =
    0.1 Os.
    Determine the angle cc at which the balls
    collide in air.
    1.37. A light spring of length 1 and rigidi-
    ty k is placed vertically on a table. A small
    ball of mass m falls on it.
    Determine the height h from the surface
    of the table at which the ball will have the
    maximum velocity.

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