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MMAN2300
Kinetics of rigid
This weekly problem set contains 2 questions. Students are required to submit handwritten working in PDF.
WHP04-Q1
The uniform 50-kg bar is held in the equilibrium
position by cords AC and BD. Determine the
tension in BD and the angular acceleration of the
bar immediately after AC is cut.
Answer: (a) α = 4.905 rad/s2;
(b) TB = 122.625 N
Homework Problems WHP04 – Page 2 of 5Homework Problems WHP04 – Page 3 of 5
WHP04-Q2
The spring is uncompressed when the
uniform slender bar AB is in the vertical
position shown. Bar AB with a mass of 50 kg
and a length of 1 m is released from rest in
the position where the bar has been rotated
30° clockwise from the position shown. This
initial position of the bar AB is illustrated using
the dashed line in the figure. Neglect any sag
of the spring as well as the spring mass.
(a) Determine the initial angular
acceleration of the bar when it is just
released from rest.
(b) Find the angular velocity of the bar
when it reaches the vertical position. Answers: (a) α = 198.951 rad/s2
(b) ω2 = 10 rad/sInitial position of the
bar AB when it is
released from rest
k = 12 kN/m
30°