Text of Instantaneous Center of Zero Velocity Problemskisi.deu.edu.tr/emine.cinar/DYNAMICS/FALL...
Instantaneous Center of Zero Velocity
1. A device which tests the resistance to wear of two materials
A and B is shown. If the link EO has a velocity of 1.2 m/s to the
right when q = 45°, determine the rubbing velocity vA.
PROBLEMS vEO =1.2 m/s to the right when q = 45°, determine the
rubbing velocity vA.
P wOAD C300
PROBLEMS 2. Horizontal oscillation of the spring loaded plunger
E is controlled by varying the air pressure in the horizontal
pneumatic cylinder F. If the plunger has a velocity of 2 m/s to the
right when q = 30°, determine the downward velocity of vD of roller
D in the vertical guide and find the angular velocity w of ABD for
PROBLEMS vE = 2 m/s to the right when q = 30°, determine the
downward velocity of vD of roller D and w of ABD .
3. If the center O of the gear is given a velocity of vO = 10
m/s, determine the velocity of the slider block B at the instant
vO = 10 m/s, determine vB .
PROBLEMS 4. The mechanism used in a marine engine consists of a
single crank AB and two connecting rods BC and BD. Determine the
velocity of the pistons at C and D and angular velocities of rods
BC and BD when the crank is in the position shown and has an
angular velocity of 5 rad/s.
s/m.ABv ABB 1205 w
P2 (IC of link BD)
P1 (IC of link BC)
s/m.ABv ABB 1205 w
P2 (IC for link BD)
P1 (IC for link BC) P2
PROBLEMS 5. The mechanism shown is used at a riveting machine.
The mechanism consists of a drive piston A, three links and sliding
block D. If the velocity of piston at the instant shown is vA = 20
m/s, determine the angular velocity of link CD and the velocity of
block D, vD. Use the Method of Instantaneous Center of Zero
vA = 20 m/s, wCD = ?, vD = ?
PROBLEMS 6. The center O of the stepped disk which rolls on the
horizontal surface without slipping has a velocity of 6 m/s to the
right at the instant considered. The disk contacts the surface at
point C. Rod AB, attached to the disk with a pin connection at
point A is also pin connected to a small roller at B. The roller B
can move freely on the circular road which has a radius of 120 cm.
Determine the angular velocity of rod AB (wAB) and the velocity of
roller B (vB) for this instant.