The original length of each of springs AB and CE is 3-6 1: and their
stifiess is 2000 lb per foot. The original length of spring DB is 2 ft and
its stiffness is 4100 lb per foot. Write the equation of
Question 10 - Find the direction angles of force F? and the magnitude ofthe resultant
force, if the resultantforce acts along the positive x-axis.
F5600 N
F2=400 N '
A 30 kg mass M is held in place by the 300 N force Fl, cable 0A and cable CBO
with a counterweight. Find the mass m of the counterweight to keep point 0 in
equilibrium.
Question 16 - Calculate the resultant force E; and its directional coordinate angles.
F? = 10 Ml _,
F2 : 7.62 kN
. : 3(0, 7.3)m
x 173: (5i+5i3icfw_)kiv
If W = 230 lb, P = 110 lb,
h = 4', determine the
HOfMEI and ctional forces
if the coefcients of static
friction #3 = 0.4 and then
check sliding and tipping
,us between the refrigerator and the oor i
Question 3 - The magnitude of the resultant force (FR) of the three forces F1, F2, and F3 is
400 1b. Find the minimum magnitude of F2 and its angie (measured counterclockwise from
the positive X axis)
Question 18
The shaded ABCD plane
intersects the x, y, and z
axes at S, T, and R,
respectively. Determine
the smallest distance from
y pointho the plane.
H
R(0,0,5)
T(5, 0,0)
3(0,5', 0)
H(2, 10',
Question 1 - For each statement check the box under T for true or under
F for false
If the shear stress is positive if it causes the sample to rotate CCW around its
center.
The position vector fromA t
Question 17 - The original length
of each ofsprings AB and CB is
3x5 ft and their stiffness is
3000 lb/inch. The original
length of spring DB is 3 feet and
its stiffness is 4000 lb/inch.
After attac
6001b[ft
BOUle 15001b
For the 1 1t wide and 0.5 ft high beam shown below, obtain the shear
and moment equations along the beam, draw the shear and moment
diagrams, and calculate the maximum shear
Question 19 - Draw Mohrs circle for the given loaded sample. What are the values
of the major and minor principal stresses.
0'), = 6000 psi
3000
0x = 2000 psi 2000
s
w.
Shear stress [ps']
Question 7 - A 30 kg mass M is held in place by the 50 N force F1, cable 0A and
cable CBO with a counterweight. Find the mass rn of the counterweight to keep point
0 in equilibrium.
Question 6 The mass M is supported by spring 0C, which is attached to the
cables at 0. The un-stretched length of the spring is In].
a) Find the tension TA in cable 0A.
b) Find the tension TB in cable
Calculate the resultant load and determine its location from A,
write the shear and bending moment equations and draw the shear
and bending moment diagrams
MICHIGAN STATE _.m.m.,.mm. _ _
UNIVERSITY WC
Question 14 The 2000 lb crate is being lifted vertically upward along the z-
axis by a 4 cable crane- The force in each cable is given below- Calculate the
force vector, the unit vector and the direct
Question 11 - Find the magnitude and the direction cosines of the resultant force acting
on the 30 rn high pole.
A (o, o, 30)
_ :"f- D ('5: 101' 0)
B (15, 40, o
X - C (20, 25, 0)
Determine the center
of mass of the
homogeneous rod and
the support reactions if
1.4 m the rod has a mass
per unit length of 2
kgim.
Determine the centroid of the above volume
MICHIGAN STATE
u N I
E=+w
E=+w
Replace the six forces by a wrench and specify the coordinates (X,
y) of its intersects with the 2.5 by 6 ft marble counter top. Your
solution must include
1 . The resultant force vector (F
100 lblft
For the cfw_15 ft wide and 0.6 ft high beam shown below:
3) Calculate the support reactions at A
b) Calculate the support reactions at B
2) Obtain the moment equation in term of X [x = D a
(1) Calculate the reactions at supports A and G.
(2) Name the zero force members.
(3) Determine the internal force in members 1!, CI, and CD
using method of section (One FBD at the cut is required)
an
Question 8 - Three forces , E, and E are acting on aweightiess post. If the
reaction E at the support is E : 2i + i+ 6E, nd the magnitude of each
force.
a) F;
of;
of;
Question 20 - Calculatethe force in each cable if the reaction at A is vertical 300; only.
1) The magnitude of force F1
2) The magnitude of force F2
3 The magnitude of force F3
Question 4 - Find the magnitude and
direction of force F1 measured counter
clockwise from the positive x-axis to
keep the system in equilibrium. F2 is
inclined at 45 above the x axis.
100 lb 200 lb
Each member of the bridge truss is 6 feet long; calculate the
reactions at supports A and B-
MICHIGAN STATE E Immnnanglnum _ _
UNIVERSITV Wmm