NAME & ID
DATE
MTE 119 – STATICS
QUIZ 5
Mechatronics Engineering
Solutions:
PROBLEM 1:
The beam shown is pinned at B and rests against a smooth incline surface at A. The total
weight of the beam is W . Is the proposed free-body diagram correct? Why?
Answer:
No, because the Force FAx’ is redundant
(1 Point)
PROBLEM 2:
A 1200-lb object is held up by a force T on a rope threaded through a system of frictionless
pulleys as shown. Is the proposed free-body diagram correct? Why?
Answer:
Yes, Pully B can’t move in y and x direction hence it has two rections.
(1 Point)
PAGE
1
4
NAME & ID
DATE
MTE 119 – STATICS
QUIZ 5
Mechatronics Engineering
PROBLEM 2:
a. Draw the free-body diagram of the crane
boom AB which has a weight of 650lb
and center of gravity at G. The boom is
supported by a pin at A and cable BC. The
load of 1250lb is suspended from the
cable attached at B.
b. Explain the significance of each force
acting on the diagram.
Free body diagram:
The significance of each force:
W is the effect of gravity (weight) on the boom.
Ay and Ax are the pin A reactions on the boom.
TBC is the cable BC force reaction on the boom.
1250 lb force is the suspended load reaction on the boom
(2Points)
PAGE
2
4
NAME & ID
DATE
MTE 119 – STATICS
QUIZ 5
Mechatronics Engineering
PROBLEM 3:
The welded tubular frame is secured to the
horizontal xy plane by a ball-and-socket support at
A and receives support from a loose fitting ring at
B.
Ignoring the weigh of the frame:
a. Draw the free-body diagram of the entire frame
b. Explain the significance of each force acting on
the diagram
Free body Diagram:
(3 Points)
TCD RBy
RBx MBz
RAz
RAx
RAy
Significance of the forces:
RB ‘s are the reaction forces at B
RA ‘s are the reaction forces at A
TCD is the tension in the cable CD
MBx
PAGE
3
4
NAME & ID
DATE
MTE 119 – STATICS
QUIZ 5
Mechatronics Engineering
PROBLEM 4:
Consider the frame shown. Define
a. The entire frame as a system and draw
its free-body diagram
b. Member 1 as a system and draw its
free-body diagram
c. Member 2 as the system and draw its
free-body diagram
FBD for the system:
(3 Points)
REy
REx
RAy
RAx
Part 1 Alone:
RDy
PAGE
NAME & ID
DATE
MTE 119 – STATICS
QUIZ 5
Mechatronics Engineering
Part 2 Alone:
RC
R Ex
R Dy
R Ey
PAGE