(Please refer attachment for detailed problem description)
Problem 1 : The 40 kg disc is released from rest with the spring compressed. At the instant shown (see attachment) it has a speed of 4 m/s and the spring is unstretched. From this poinr determine the distance d that the disc moves down the 30 degree ramp before momentarily stopping. The disc rolls without slipping. Determine :
a) The distance d in meters down the ramp from point A.
b) The moment of inertia of the disc about G in kgm^2
c) The angular velocity of the disc in rad/sec at this instant.
d) The work done by the spring in Nm during the downward motion.
e) The distance h in m, up the ramp from A to the starting point.
Problem 2 : A 5 kg uniform rod 800mm long rotates about pin B in a vertical plane. If the rod is released from rest when it is horizontal, determine :
a) Moment of inertia of the rod about B in kg m^2.
b) Angular velocity of the rod in rad/sec when vertical.
c) Angular velocity of the rod in kg m^2 at theta = 75 degrees
d) X direction support reaction in N at pin B at theta = 75 degrees
e) Y direction support reaction in N at pin B at theta = 75 degrees
Step by step solution provided.