ENGINEERING 2060
FINAL EXAMINATION
April 19, 2006
1 - The disk rotates with an angular velocity
 
6 rad / s
2
.
 
5 rad / s and an angular acceleration
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 v
A
= 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 v
A
= 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.