MMET 275 - MECHANICS FOR TECHNOLOGISTS
HW 1_SOLUTIONS
Chapters/sections: 2.1 - 2.6
SHORT QUESTION (5 points) (Steps carry points)
1. Determine the magnitude of F1 and its direction so that the resultant force is directed
vertically upward and has a magnit

NAME: _
MMET 275 - MECHANICS FOR TECHNOLOGISTS
QUIZ 1
(i) If = 450, F1 = 5 kN, and the resultant force is 6 kN directed along the positive y-axis,
determine the required magnitude of F2 and its direction ?
(ii) If = 300, F1 = 5 kN, and the resultant force

NAME: _
MMET 275 - MECHANICS FOR TECHNOLOGISTS
QUIZ 3
The 10-kg lamp is suspended from the three equal-length cords. Determine its smallest vertical
distance s from the ceiling if the force developed in any cord is not allowed to exceed 50 N.

ENTC-275_IN-CLASS EXERCISE_4.3_1 (FORCE MOMENTS)
Determine the resultant moment produced by the forces about point O.
ENTC-275_IN-CLASS EXERCISE_4.3_2 (FORCE MOMENTS)
Determine the moment of force F about point O. Express the result as a Cartesian vector.

ENTC-275_IN-CLASS EXERCISE_7.1_1 (INTERNAL FORCES)
Determine the internal normal force, shear force and bending moment at points C and D.
Procedure:
1. Draw the FBD
2. Find support reactions (if needed)
3. Decide on where to cut
4. Choose which side to an

ENTC-275_IN-CLASS EXERCISE_5.2_1 (FBD)
Draw the free-body diagram of the foot lever. The operator applies a vertical force to the pedal so that the
spring is stretched 1.5-in and the force in the short link at B is 20 lb.
Procedure:
1. Draw outline shape

ENTC-275_IN-CLASS EXERCISE_6.2_1 (METHOD OF JOINTS)
Determine the force in each member of the truss. Indicate whether the members are in tension or compression.
Procedure:
1. Find support reactions (if needed)
(Use Fx, Fy, M=0)
2. Draw FBD of pins
3. Appl

ENTC 275_IN-CLASS EXERCISE_10.1_1 (MOMENT OF INERTIA)
Find the MoI of the shaded area about the x & y axes.
Procedure:
1. Choose differential element (dA)
2. Express dA in terms of dx or dy
3. Integrate to find MoI
4. Common sense check
ENTC 275_IN-CLASS

ENTC-275_IN-CLASS EXERCISE_9.1_1 (CENTROID)
Locate the centroid of the area.
Procedure:
1. Choose differential element (dA)
(If y=f(x), then vertical element)
2. Express dA in terms of dx or dy
3. Find coordinates of centroid
4. Express as 1 variable & in

ENTC-275_IN-CLASS EXERCISE_2.3_1 (RESULTANT & RESOLUTION OF FORCES)
Resolve the 30-lb force into components along (i) the x and y axes, and (ii) the u and v axes, and determine the
magnitude of each of these components.
(i) Fx = 30 Cos(30) = 25.9 lb; Fy =

ENTC-275_IN-CLASS EXERCISE_3.3_1 (COPLANAR FORCE SYSTEMS)
(i) Determine the force in each cord for equilibrium of the 200-kg crate. Cord BC remains horizontal due to the
roller at C, and AB has a length of 1.5 m. Set y = 0.75 m.
(ii) If the 1.5-m-long cor

ENTC-275_IN-CLASS EXERCISE_8.2_1 (FRICTION)
The uniform thin pole has a weight of 30 lb and a length of 26 ft. If it is placed against the smooth wall and on
the rough floor in the position d = 10 ft, will it remain in this position when it is released? T

MMET 275 - MECHANICS FOR TECHNOLOGISTS
HW 3_SOLUTIONS
Chapters/sections: 3.1 - 3.4
SHORT QUESTIONS (5 points each) (Steps carry points)
1. The chandelier is supported by three chains which are concurrent at point O. If the resultant
force at O has a magni

MMET 275 - MECHANICS FOR TECHNOLOGISTS
HW 2_SOLUTIONS
Chapters/sections: 2.7 - 2.9
SHORT QUESTIONS (5 points each) (Steps carry points)
1. Cable OA is used to support column OB. Determine the angle it makes with beam OD.
2. Express each force acting on th