Question 3
The disc (m kg) is initially at rest, and the spring holds it in equilibrium. The disc
is subsequently subjected to a couple moment, M = 30 Nm, as indicated in
Figure 3. Assume the spring stiffness, k value is equivalent to the first three digits
of your student matrix number (Example; matrix number of 72123, k = 721N/m.
Apply the theory of Planar Kinetics of a Rigid Body: Work and Energy to
demonstrate the factors that affect its angular velocity at the instant its mass
center G has moved 0.8 m down along the inclined plane. The disc rolls without
slipping. Illustrate the free-body diagram and use appropriate numerical
values to explain your answers.
[50 marks]
M
G
r = 0.2 m
?
Figure 3
A