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