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3. A small 250-g collar C can slide on a semicircular rod which is made to rotate about the
vertical AB at a constant rate of 7.5 rad/s. Determine the three values of 0 for which the
collar will not slide on the rod, assuming no friction between the collar and the rod.
B
= 500 mm
or
C
250 g
A
hp

Expert Solution

GIVEN:

The mass of the collar is given as, $m = 250 g$ (or) $m = 0.25 k g$ .

The angular velocity of rod is given as, $ω = 7.5 r a d / s$ .

The radius of the rod is given as, $r = 500 m m$ (or) $r = 0.5 m$ .

TO DETERMINE:

The three values of $θ$ for which the collar will not slide on the rod.

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