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.

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.

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.