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DİNAMİK İKİNCİ VİZE EK DERS SORULARI
1) Determine the normal and frictional driving forces that the partial spiral track exerts on the 200 kg
motorcycle at the instant 3
5 rad, = 0.4 rad/s, and = 0.8 rad/s2. Neglect the size of the
motorcycle.
2) A crate initially traveling horizontally with a speed of 5.5 m/s, is made to slide down a 4.3 m
chute inclined at 35o. The surface of the chute has a coefficient of kinetic friction k and at its lower
end, it smoothly lets the crate onto a horizontal trajectory. The horizontal surface has a coefficient of
kinetic friction k2.
a) If k=0.35, what is the speed with which the crate reaches the bottom of the chute (immediately
before the crate’s trajectory becomes horizontal)?
b) Find k such that the crate’s speed at the bottom of the chute (immediately before the crate’s
trajectory becomes horizontal) is 4.6 m/s?
c) Let k =0.5 and suppose that once the crate reaches the bottom of the chute and after sliding
horizontally for 1.5 m, the crate runs into a bumper. If the mass of the crate is m = 50 kg, k2 = 0.33,
determine the stiffness k which the spring must have if the maximum compression is 0.6 m after
impacting.
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3) The unit consisting of a light T bar welded to two 3 kg and 5 kg masses is kept at rest when =0°. The system
is forced to move under the effect of a constant force F= 500 N applied to the cable passing through the fixed
pulley at C. What is the speed of the 3 kg mass when the system passes through the position where =37°? The
spring has a stiffness of k=50 N/m and an unstretched length of 400 mm. Neglect the masses of the spring and
the T bar.
k=50 N/m
m=5 kg
m=3 kg
400 mm
300 mm
350 mm
350 mm
300 mm
250 mm
600 mm F=500 N
C A
B
D
4) If the link AB is rotating about the pin at A
with an angular velocity AB = 5 rad /s (ccw) and
an angular acceleration AB = 8 rad/s2 (cw),
determine the velocities and accelerations of
points E and C for the instant shown. Member
DBC is a bell crank pinned to member AB at
point B. Block E moves on the parabolic path as
indicated.
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5) The two ends of link AB are forced to move in the paths indicated in the figure. At the instant
seen, the velocity and acceleration of point A are 2.4 m/s and 0.9 m/s2 downwards, respectively.
Determine the angular velocity and angular acceleration of link AB for this instant.