The following figure shows a schematic of a four-bar mechanism. This system is used in many engineering applications. Bo
Posted: Tue Apr 26, 2022 3:53 pm
The following figure shows a schematic of a four-bar mechanism.
This system is used in many
engineering applications. Bodies OA, AB, and BD are slender rods
with the mass of 6 kg, 16 kg
and 14 kg, respectively. At this moment, bodies OA and BD are
parallel to the Y-axis. Part OA
is connected to the ground at O by a frictionless pin. It is also
connected to part AB by a
frictionless pin at A. Part DB is connected to AB by a frictionless
pin at B and is connected to
the ground at D by a frictionless pin. A drum and connected hub of
0.05-m radius has a mass
of 50 kg and a radius of gyration about its mass center (C) of 0.15
m. A motor with torque mM
rotates the drum such that at this moment the angular velocity of
the drum and hub is 2 rad/s
(CCW) which is decreased with the rate of 5 rad/s2. There is a
cable around the hub which is
connected to Q on OA. The EQ portion of the cable is horizontal at
this moment. The mass
centers of each rod are located at the middle of the rods.
a) Compute the angular velocity of OA, AB and BD, as well as
velocity of point E.
b) Compute the angular acceleration of OA, AB and BD, as well as
acceleration of
point E.
c) Draw the free body diagram of each body in the system and show
the X and Y
components of the forces.
d) Write the dynamic equilibrium equations for each body.
e) Find the X and Y components of all reaction forces at O, A, B,
C, and D. Also
find the value of the force in the cable, and the value of the
torque of the motor to keep the
system in the dynamic equilibrium.
f) Compute the total kinetic energy of the entire system (drum and
four-bar
mechanism) at this moment. Calculate the power of the motor. Is the
power positive or
negative?
g) Calculate the potential energy of the four-bar mechanism
assuming that OD is
the datum.
- THERE IS ENOUGTH DATA?? if not explain what is missing....
0.8 m B 0 - 20 E -0.05 m 0.3 m M 0.2 m de D
This system is used in many
engineering applications. Bodies OA, AB, and BD are slender rods
with the mass of 6 kg, 16 kg
and 14 kg, respectively. At this moment, bodies OA and BD are
parallel to the Y-axis. Part OA
is connected to the ground at O by a frictionless pin. It is also
connected to part AB by a
frictionless pin at A. Part DB is connected to AB by a frictionless
pin at B and is connected to
the ground at D by a frictionless pin. A drum and connected hub of
0.05-m radius has a mass
of 50 kg and a radius of gyration about its mass center (C) of 0.15
m. A motor with torque mM
rotates the drum such that at this moment the angular velocity of
the drum and hub is 2 rad/s
(CCW) which is decreased with the rate of 5 rad/s2. There is a
cable around the hub which is
connected to Q on OA. The EQ portion of the cable is horizontal at
this moment. The mass
centers of each rod are located at the middle of the rods.
- The Following Figure Shows A Schematic Of A Four Bar Mechanism This System Is Used In Many Engineering Applications Bo 1 (32.01 KiB) Viewed 24 times
velocity of point E.
b) Compute the angular acceleration of OA, AB and BD, as well as
acceleration of
point E.
c) Draw the free body diagram of each body in the system and show
the X and Y
components of the forces.
d) Write the dynamic equilibrium equations for each body.
e) Find the X and Y components of all reaction forces at O, A, B,
C, and D. Also
find the value of the force in the cable, and the value of the
torque of the motor to keep the
system in the dynamic equilibrium.
f) Compute the total kinetic energy of the entire system (drum and
four-bar
mechanism) at this moment. Calculate the power of the motor. Is the
power positive or
negative?
g) Calculate the potential energy of the four-bar mechanism
assuming that OD is
the datum.
- THERE IS ENOUGTH DATA?? if not explain what is missing....
0.8 m B 0 - 20 E -0.05 m 0.3 m M 0.2 m de D