Question $1$

a$.)$ The bracelet system used in Figure $($a$)$ is a simplified formula of a mechanical watch. a gear While making one revolution at a time, gear C makes $1$ revolution per minute. half of small gears Determine its diameter $(r).$

b$.)$ In Figure $($b$),$ the radii of the gear trains are $rA=0\mathrm{.}45m,rB=0\mathrm{.}25m$ ve $rC=0\mathrm{.}2m.$ Gear A is fixed to the ground and does not rotate, the other gears rotate around it$.$

If the angular speed of arm is $10ra\frac{d}{s}$ counterclockwise, determine the angular speed and rotation directions of B and C gears.