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To investigate the effect of force orientation on the velocity of a collar, following experiment has
been conducted. Force F is applied to the following collar to slide on a horizontal shaft. The
coefficient of friction between the collar and shaft is a. Although the magnitude of the force is
constant (F < mg), its direction is variable. Velocity of collar when 0 = 0 is v, to the right. If 0
varies with time such that 0 = kt, where k is a constant, determine velocity of the collar, v2, when
O is 90°. Also, find magnitude of F in which vi=v2.
Fixed-magnitude
force with variable
direction

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