Homework Answers
Q1/ In the figure shown, rods AB and BC are each 4 cm long and lie...
Q1/ In the figure shown, rods AB and BC are each 4 cm long and lie along y and x axes, respectively. Rod CD is in the xz plane and makes an angle @ = 30° with the x-axis. (a) Find † Ad in terms of the variable length l. (b) Find l and a such that FAD = FAB - TBC+ak. D A 4 cm B y 30° 214cm X C
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position. The bar is subjected to a couple moment of M=20 [lb-ft] and a force F=50[l b], which is always perpendicular to the end of bar. Also, the spring is attached to bar at distance L / 2 from point A, and has unstretched length of l0=1.2[ft]. The spring remains in horizontal position throughout the motion due to the roller guide at B. Determine angular velocity of...
1) (30 pts) A Force is given with F= BC kN in the figure below. According...
1) (30 pts) A Force is given with F= BC kN in the figure below. According to this configuration, please; a) write the force in Cartesian vector form, b) write unit vector of AB in Cartesian vector form, c) find magnitude of the projected component of the force Facting along the axis AB of pipe. d) determine the projected component of the force Facting along the axis AB of pipe in Cartesian vector form. B 4 m 6 m 3...
Q1/ In the figure shown, î and ñ are unit vec- tors parallel and perpendicular to...
Q1/ In the figure shown, î and ñ are unit vec- tors parallel and perpendicular to the surface AB, respectively. A force W = -50 NẠ acts on the block. Find the components of Walong  and î. A Ñ î * W 30° B O
Problem#1 (7.5 points): Determine the force in the cables AD, AC and the elongation of the...
Problem#1 (7.5 points): Determine the force in the cables AD, AC and the elongation of the spring AB (k = 1.5 KN/m) necessary to support a mass of 40 kg as shown in the figure below. 60° 2 m 135 2 m 120 B k = 1.5 kN/my Problem#2 (7.5 points): Determine the force in the cables AD, AC, and AE necessary to support the structure shown in the figure below. FRE 9 m FAB = 3.5 kN 4.5 m...
Consider the given image. Assume h = 17 ft, L = 6.5 ft, B = 9.5...
Consider the given image. Assume h = 17 ft, L = 6.5 ft, B = 9.5 ft. The plate width is 5 ft. Wall Seawater: 64 lbf/ft? Gate Hinge References eBook & Resources Check my work 20. 10.00 points value: Integrate the pressure to find the total force F (in lbf). Hints References eBook & Resources Hint #1 Check my work 21. value: 10.00 points Integrate the moments about point A to find the position of the center of pressure....
(1) (2) A. The square bar shown (Figure 1) is 2 in. thick and 12 ft...
(1) (2)
A. The square bar shown (Figure 1) is 2 in. thick and 12 ft long
and is fixed supported at both ends. A load directed leftward is
applied at point C, as shown, L2 = 10.6 ft from the left end. The
modulus of elasticity is E = 1.5×104 ksi. If point C
moves δ = 3×10−3 in. to the left, what is the applied
force?
B. Consider a new structure, where the thickness of the bar is...
Q1. For the system shown in Figure 1 where the beam with mass m and length...
Q1. For the system shown in Figure 1 where the beam with mass m and length L is connected to the fixed surfaces through three springs with same stiffness k, (i) Calculate the total kinetic energy and total potential energy of the system; (ii) Derive the equation of motion in terms of rotation angle 0; (iii) Find the natural frequency of the system; (iv) Calculate the natural period if the stiffness k of all springs is doubled; (v) If the...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h bel...
A pendulum of length
L
and mass
M
has a spring of force constant
k
connected to it at a distance
h
below its point of suspension (as shown in the following figure).
Find the frequency of vibration of the system for small values of
the amplitude (small
?).
Assume that the vertical suspension of length
L
is rigid, but ignore its mass. (Use any variable or symbol stated
above along with the following as necessary:
g
and
?.)
f...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h bel...
A pendulum of length
L
and mass
M
has a spring of force constant
k
connected to it at a distance
h
below its point of suspension (as shown in the following figure).
Find the frequency of vibration of the system for small values of
the amplitude (small
?).
Assume that the vertical suspension of length
L
is rigid, but ignore its mass. (Use any variable or symbol stated
above along with the following as necessary:
g
and
?.)
f...
Q1/ In the figure shown, rods AB and BC are each 4 cm long and lie along y and x axes, respectively. Rod CD is in the xz plane and makes an angle @ = 30° with the x-axis. (a) Find † Ad in terms of the variable length l. (b) Find l and a such that FAD = FAB - TBC+ak. D A 4 cm B y 30° 214cm X C
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position. The bar is subjected to a couple moment of M=20 [lb-ft] and a force F=50[l b], which is always perpendicular to the end of bar. Also, the spring is attached to bar at distance L / 2 from point A, and has unstretched length of l0=1.2[ft]. The spring remains in horizontal position throughout the motion due to the roller guide at B. Determine angular velocity of...
1) (30 pts) A Force is given with F= BC kN in the figure below. According to this configuration, please; a) write the force in Cartesian vector form, b) write unit vector of AB in Cartesian vector form, c) find magnitude of the projected component of the force Facting along the axis AB of pipe. d) determine the projected component of the force Facting along the axis AB of pipe in Cartesian vector form. B 4 m 6 m 3...
Q1/ In the figure shown, î and ñ are unit vec- tors parallel and perpendicular to the surface AB, respectively. A force W = -50 NẠ acts on the block. Find the components of Walong  and î. A Ñ î * W 30° B O
Problem#1 (7.5 points): Determine the force in the cables AD, AC and the elongation of the spring AB (k = 1.5 KN/m) necessary to support a mass of 40 kg as shown in the figure below. 60° 2 m 135 2 m 120 B k = 1.5 kN/my Problem#2 (7.5 points): Determine the force in the cables AD, AC, and AE necessary to support the structure shown in the figure below. FRE 9 m FAB = 3.5 kN 4.5 m...
Consider the given image. Assume h = 17 ft, L = 6.5 ft, B = 9.5 ft. The plate width is 5 ft. Wall Seawater: 64 lbf/ft? Gate Hinge References eBook & Resources Check my work 20. 10.00 points value: Integrate the pressure to find the total force F (in lbf). Hints References eBook & Resources Hint #1 Check my work 21. value: 10.00 points Integrate the moments about point A to find the position of the center of pressure....
(1) (2)
A. The square bar shown (Figure 1) is 2 in. thick and 12 ft long
and is fixed supported at both ends. A load directed leftward is
applied at point C, as shown, L2 = 10.6 ft from the left end. The
modulus of elasticity is E = 1.5×104 ksi. If point C
moves δ = 3×10−3 in. to the left, what is the applied
force?
B. Consider a new structure, where the thickness of the bar is...
Q1. For the system shown in Figure 1 where the beam with mass m and length L is connected to the fixed surfaces through three springs with same stiffness k, (i) Calculate the total kinetic energy and total potential energy of the system; (ii) Derive the equation of motion in terms of rotation angle 0; (iii) Find the natural frequency of the system; (iv) Calculate the natural period if the stiffness k of all springs is doubled; (v) If the...
A pendulum of length
L
and mass
M
has a spring of force constant
k
connected to it at a distance
h
below its point of suspension (as shown in the following figure).
Find the frequency of vibration of the system for small values of
the amplitude (small
?).
Assume that the vertical suspension of length
L
is rigid, but ignore its mass. (Use any variable or symbol stated
above along with the following as necessary:
g
and
?.)
f...
A pendulum of length
L
and mass
M
has a spring of force constant
k
connected to it at a distance
h
below its point of suspension (as shown in the following figure).
Find the frequency of vibration of the system for small values of
the amplitude (small
?).
Assume that the vertical suspension of length
L
is rigid, but ignore its mass. (Use any variable or symbol stated
above along with the following as necessary:
g
and
?.)
f...
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