KTÜ Department of Mechanical Engineering – ME 209 Dynamics - Midterm Exam 10.11.2014 Duration : 110 minutes Instructors : Prof. Dr. Hasan SOFUOĞLU, Assist. Prof. Dr. Ömer Necati CORA Grades: Q.1 Q.2 Q.3 Q.4 Total :

Q-1. Determine the acceleration of the system

and the tension in each cable. The inclined

plane is smooth, and the coefficient of kinetic

friction between the horizontal surface and block

C is (µk)C = 0.2 (25 P).

Q.2-a) Starting from rest the motorboat travels around the

circular path, ρ= 50 m at a speed ( ) , where t is

in seconds. Determine the magnitudes of the boat’s velocity

and acceleration when it has traveled 20 m. (12.5 P)

Q.2-b) The cable at B is pulled downwards at 2 m/s , and the speed is

decreasing at 1 m/s2. Determine the velocity and acceleration of block A

at this instant. (12.5 P)

Q-3. The vertical guide is smooth and the 5-kg collar is

released from rest at A. Determine the speed of the collar

when it is at position C. The spring has an unstretched length

of 300 mm. (25 P)

Q-4. The 5-Mg truck and 2-Mg car are

traveling with the free-rolling velocities

shown just before they collide. After the

collision, the car moves with a velocity of

15 km/h to the right relative to the truck.

Determine the coefficient of restitution

between the truck and car and the loss of

energy due to the collision. (25 P)