MAE-2102 Key Problems
Unit #2 Kinematics & Kinetics of Rigid Bodies
Chapter 19
1.
Gear A has a mass of 60 kg and a radius of gyration kC=160mm.
Gear B has a mass of 25 kg and a radius of gyration kD =125 mm.
If a motor supplies a torque having a magnitude M=(1.2t) N*m,
where t is in seconds, to gear A, determine the angular velocity of
gear B in 3 s. Initially, gear A is rotating at ω1=2 rad/s. (Hint:
The linear velocity of the point where both gears meet is a
constant.)
Chapter 19
2.
A thin rod of mass m has an angular velocity ω0 while
rotating on a smooth surface. Determine its new angular
velocity just after its end strikes and hooks onto the peg
and the rod starts to rotate about P without rebounding.
Solve the problem (a) using the parameters given, (b)
setting m=2 kg, ω0=4 rad/s, l=1.5 m.
R. Gist
1
Ver. A, Rev. 1