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ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
1- The disk rotates with an angular velocity   5 rad / s and an angular acceleration
  6rad / s 2 . Determine the angular velocity and angular acceleration of the link CB at
this instant.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
2- The small cylinder C has a mass of 10 kg and is attached to the end of a rod whose
mass may be neglected. The frame is subjected to the force and couple moment shown.
Determine the speed of the cylinder when t = 2 s. The cylinder has an initial (t = 0) speed
of 2 m/s.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
3- If disk A is sliding along the tangent to disk B (originally at rest) and strikes B with a
velocity of v, determine the velocity of B after the collision. The coefficient of restitution
is e and each disk has the same size and mass m.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
4- The block has a mass of 50 kg and rests on the surface of the cart having a mass of 75
kg. If the spring which is attached to the cart and not to the block is compressed 0.2 m
and the system is released from rest, determine the speed of the block after the spring
becomes unstretched. Neglect the mass of the spring and friction in the calculations. Take
k = 300 N/m.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
5-The roller-coaster car has a mass of 800 kg, including its passengers, and starts from
the top of the hill A with a speed vA = 3m/s. Determine the minimum height h of the hill
crest so that the car travels around both inside loops without leaving the track. Neglect
friction.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
6- The cyclist travels to point A with the speed vA = 8 m/s. He then coasts freely up the
curved surface. Determine the normal force he exerts on the surface when he reaches
point B. The total mass of the bike and the man is 75 kg. Neglect friction and the size of
the bike.
ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
7- The 50-lb load is hoisted (from rest) by the pulley system and motor M. If the motor
exerts a constant force of 30 lb on the cable, determine the power that must be supplied to
the motor if the load has been hoisted s = 10 ft starting from rest. The motor has an
efficiency of ε = 0.76.