a) Convert the given system to an equivalent force and
torque at point A.
Write the powers / moments as cartesian vectors.
b) Determine the point on the as AB where the torque of the
equivalent system is 0. Enter the distance from point A.
c) Make a Free Body Scheme and determine the forces in A and B at
equilibrium.
Homework Answers
Add Answer to:
a) Convert the given system to an equivalent force and
torque at point A.
Write the...
Problem #1(10pts) Consider the system shown in the figure consisting of a circular cross section eylinder with center ABC. A counterclockwise torque of 10 kN-m is applied to the cylinder at D Det...
Problem #1(10pts) Consider the system shown in the figure consisting of a circular cross section eylinder with center ABC. A counterclockwise torque of 10 kN-m is applied to the cylinder at D Determine the force (P) applied at point B on the bar to prevent rot cylinder equal to 0.25 m and the coefficient of static friction equal to 0.40 ation of the cylinder. Take the radius of the 0.15 m , Hint: You need to consider free body diagram...
Problem 1 P- 12 kN A cantilever beam is subjected to a force P and a...
Problem 1 P- 12 kN A cantilever beam is subjected to a force P and a moment MB shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. MB -22 kNm (a) Draw the free body diagram for the beam showing all the reaction forces and moments. 90 cm (b) Use the equations of equilibrium to find the reaction forces and moments at A
Problem 3 1. Replace the two given forces by an equivalent Force-Couple system at point B...
Problem 3 1. Replace the two given forces by an equivalent Force-Couple system at point B 2- Determine the equivalent resultant moment about AB of the two given forces exerted at point C. 600 N 4A 500 N 150 mm 150 mm 100 mm -300 mm
A simply supported beam ABCD is subjected to a force P and a moment Mo as...
A simply supported beam ABCD is subjected to a force P and a moment Mo as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. (a) Draw the free body diagram for the beam, showing all the applied forces, moments and reaction forces. (b) Use the equations of equilibrium to find the reaction forces at A and C P-15 kN Mp- 10 kNm 4.5 m 3m
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load...
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
1) Use equilibrium to solve for the unknown torque at Point C of the problem in...
1) Use equilibrium to solve for the unknown torque at Point C of
the problem in the Appendix. Sum moments about the X-axis and given
that the shaft is in equilibrium, determine the torque that must be
applied at Point C. You can assume that the shaft is not connected
to any other features although in a real-world application there
would need to be bearing that keep the shaft from ‘wandering off.’
But note that there are no ‘forces’ applied...
Find the equivalent resultant force and couple system at points O and D, given: F1 = 45 lbs, F2 = 20 lbs, F3 = 15...
Find the equivalent resultant force and couple system at points
O and D, given:
F1 = 45 lbs,
F2 = 20 lbs,
F3 = 15 lbs,
L1 = 8 ft,
L2 = 6 ft,
L3 = 5 ft,
x,y,h
= 4,3,5, respectively
FR
= lbs Φ
= °
MO
= lb·ft
MD
= lb·ft
Find the equivalent resultant force and couple system at point
A. Express your answers as Cartesian vectors.
MB is parallel to the Z-axis
and MC is...
In the mechanical system represented in Figure 2(a), a motor supplies a torque of 45 kN-m,...
In the mechanical system represented in Figure 2(a), a motor supplies a torque of 45 kN-m, and powers two machines through gears D and E. The torque delivered to gear E is 8 kN-m The two shafts are made of steel, with E200 GPa, G 80 GPa and yield strength of 300 MPa The shaft AB has an outer diameter of 150 mm and an inner diameter of 80 mm; the shaft DCE has an outer diameter of 80 mm...
Force F, 1 kN, is applied in the negative y-direction at point B. The magnitudes of...
Force F, 1 kN, is applied in the negative y-direction at point
B. The magnitudes of the tension in the cables are T(BC) = 707 N
and T(BD) = 1500 N. Point E is 3m from point A.
a) Calculate the vectors representing the tensions in the
cables.
b) Determine the internal force and moment system in the bar at
x-section E. Show the internal forces and moment on free body
diagram.
6 m I) 6 3
Problem #1(10pts) Consider the system shown in the figure consisting of a circular cross section eylinder with center ABC. A counterclockwise torque of 10 kN-m is applied to the cylinder at D Determine the force (P) applied at point B on the bar to prevent rot cylinder equal to 0.25 m and the coefficient of static friction equal to 0.40 ation of the cylinder. Take the radius of the 0.15 m , Hint: You need to consider free body diagram...
Problem 1 P- 12 kN A cantilever beam is subjected to a force P and a moment MB shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. MB -22 kNm (a) Draw the free body diagram for the beam showing all the reaction forces and moments. 90 cm (b) Use the equations of equilibrium to find the reaction forces and moments at A
Problem 3 1. Replace the two given forces by an equivalent Force-Couple system at point B 2- Determine the equivalent resultant moment about AB of the two given forces exerted at point C. 600 N 4A 500 N 150 mm 150 mm 100 mm -300 mm
A simply supported beam ABCD is subjected to a force P and a moment Mo as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected. (a) Draw the free body diagram for the beam, showing all the applied forces, moments and reaction forces. (b) Use the equations of equilibrium to find the reaction forces at A and C P-15 kN Mp- 10 kNm 4.5 m 3m
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
1) Use equilibrium to solve for the unknown torque at Point C of
the problem in the Appendix. Sum moments about the X-axis and given
that the shaft is in equilibrium, determine the torque that must be
applied at Point C. You can assume that the shaft is not connected
to any other features although in a real-world application there
would need to be bearing that keep the shaft from ‘wandering off.’
But note that there are no ‘forces’ applied...
Find the equivalent resultant force and couple system at points
O and D, given:
F1 = 45 lbs,
F2 = 20 lbs,
F3 = 15 lbs,
L1 = 8 ft,
L2 = 6 ft,
L3 = 5 ft,
x,y,h
= 4,3,5, respectively
FR
= lbs Φ
= °
MO
= lb·ft
MD
= lb·ft
Find the equivalent resultant force and couple system at point
A. Express your answers as Cartesian vectors.
MB is parallel to the Z-axis
and MC is...
In the mechanical system represented in Figure 2(a), a motor supplies a torque of 45 kN-m, and powers two machines through gears D and E. The torque delivered to gear E is 8 kN-m The two shafts are made of steel, with E200 GPa, G 80 GPa and yield strength of 300 MPa The shaft AB has an outer diameter of 150 mm and an inner diameter of 80 mm; the shaft DCE has an outer diameter of 80 mm...
Force F, 1 kN, is applied in the negative y-direction at point
B. The magnitudes of the tension in the cables are T(BC) = 707 N
and T(BD) = 1500 N. Point E is 3m from point A.
a) Calculate the vectors representing the tensions in the
cables.
b) Determine the internal force and moment system in the bar at
x-section E. Show the internal forces and moment on free body
diagram.
6 m I) 6 3
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