Figure shows a gear mechanism. Two homogeneous rods AB and BC of mass 4 kg/m are attached together to form L-shaped assembly, member ABC. A gear Q of mass 4 kg with a radius of gyration, kA of 0.12 m about point A is welded together with member ABC. At the instant shown, member ABC and gear Q are actuated by gear P as shown. Given AB = 0.4 m and BC = 0.3 m. 

 

Determine: 

a) the free body diagram (FBD) and kinetic diagram (KD) for the system 

b) tangential force, F exerted by gear P at point D 

c) components of the reaction at point A.

TH UT Gear P fot B D Gear Q R 18 cm LAS Ratio gear 1:1 w = 8 rad/s (U) a = 40 rad/s (U)