HW3

pdf

School

Arizona State University *

*We aren’t endorsed by this school

Course

214

Subject

Mechanical Engineering

Date

Apr 3, 2024

Type

pdf

Pages

18

Uploaded by DoctorDolphinPerson817

Report
Score: 100/100 Points 100 %
1. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt A foot valve for a pneumatic system is hinged at B . Knowing that determine the moment of the force F = 15.4 N about point B by resolving the force into horizontal and vertical components. The moment of the 15.4 N force about point B is 1.23 N m . References Worksheet Difficulty: Medium A foot valve for a pneumatic system is hinged at B . Knowing that determine the moment of the force F = 15.4 N about point B by resolving the force into horizontal and vertical components.
The moment of the 15.4 N force about point B is 1.2291 ± 5% N m . Explanation:
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The force F acts at a point A. References Section Break Difficulty: Medium
2. Award: 12.50 out of 12.50 points You received credit for this question in a previous attempt Assume that the position vector of A is . Determine the moment about the origin O if the force . The moment about the origin O of the force F is M o = ( 20 ) i + ( -30 ) j + ( -10 ) k. References Worksheet Difficulty: Easy Assume that the position vector of A is . Determine the moment about the origin O if the force . The moment about the origin O of the force F is M o = ( 20 ± 5% ) i + ( -30 ± 5% ) j + ( -10 ± 5% ) k. Explanation: Evaluate the cross product by setting up a determinant to obtain the solution.
3. Award: 12.50 out of 12.50 points You received credit for this question in a previous attempt Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 590 N and 695 N, respectively, determine the moment about O of the resultant force exerted on the tree by the cable at B . The moment about O of the resultant force exerted on the tree by the cables at B is ( 3269 N·m) i + ( 0 N·m) j + ( -2170 N·m) k . References Worksheet Difficulty: Medium Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 590 N and 695 N, respectively, determine the moment about O of the resultant force exerted on the tree by the cable at B .
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
The moment about O of the resultant force exerted on the tree by the cables at B is ( 3268.62 ± 5% N·m) i + ( 0 ± 5% N·m) j + ( -2171.35 ± 5% N·m) k . Explanation: m m Evaluate the cross product by setting up a determinant to obtain the solution. M O = r BO × R where,
4. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt Given the vectors , , and , compute the scalar products P·Q, P·S, and Q·S. The scalar product for P · Q , P · S , and Q · S are ( 8 ), ( -31 ), and ( 2 ). References Worksheet Difficulty: Medium Given the vectors , , and , compute the scalar products P·Q, P·S, and Q·S. The scalar product for P · Q , P · S , and Q · S are ( 8 ± 5% ), ( -31 ± 5% ), and ( 2 ± 5% ). Explanation:
5. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt Three cables are attached to the top of the tower at A . Determine the angle formed by cables AB and AC if the height of the tower is a = 46 m. The angle formed by cables AB and AC is 40.1 º. References Worksheet Difficulty: Medium Three cables are attached to the top of the tower at A . Determine the angle formed by cables AB and AC if the height of the tower is a = 46 m.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
The angle formed by cables AB and AC is 40.0746 ± 5% º. Explanation: By definition,
6. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt A crane is oriented so that the end of the 25-m boom AO lies in the yz plane. At the instant shown, the tension in cable AB is 4.5 kN. Determine the moment about each of the coordinate axes of the force exerted on A by cable AB . The moment about the x -axis is 88.9 kN·m. The moment about the y -axis is 14.8 kN·m. The moment about the z -axis is -11.1 kN·m. References Worksheet Difficulty: Medium A crane is oriented so that the end of the 25-m boom AO lies in the yz plane. At the instant shown, the tension in cable AB is 4.5 kN. Determine the moment about each of the coordinate axes of the force exerted on A by cable AB .
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
The moment about the x -axis is 88.775 ± 5% kN·m. The moment about the y -axis is 14.796 ± 5% kN·m. The moment about the z -axis is -11.097 ± 5% kN·m. Explanation: Determine OC and AB by applying the Pythagorean theorem.
7. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt A farmer uses cables and winch pullers B and E to plumb one side of a small barn. If it is known that the sum of the moments about the x -axis of the forces exerted by the cables on the barn at points A and D is equal to 4735 lb·ft, determine the magnitude of T DE when T AB = 255 lb. The magnitude of T DE is 283.6 lb. References Worksheet Difficulty: Medium A farmer uses cables and winch pullers B and E to plumb one side of a small barn. If it is known that the sum of the moments about the x -axis of the forces exerted by the cables on the barn at points A and D is equal to 4735 lb·ft, determine the magnitude of T DE when T AB = 255 lb.
The magnitude of T DE is 283.62 ± 5% lb. Explanation: The moment about the x -axis due to the two cable forces can be found using the z components of each force acting at the intersection with the xy plane ( A and D ). The x components of the forces are parallel to the x -axis and the y components of the forces intersect the x -axis. Therefore, neither the x or y components produce a moment about the x -axis. where 4735 lb·ft On applying moments, we get (180)(12) + (0.64865 T DE )(14)= 4735 lb·ft
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
8. Award: 12.50 out of 12.50 points You did not receive full credit for this question in a previous attempt A force P of magnitude 530 lb acts on the frame shown at point E . Determine the moment of P about a line joining points O and D . The moment of P about a line joining points O and D is 3145 lb in. References Worksheet Difficulty: Medium A force P of magnitude 530 lb acts on the frame shown at point E . Determine the moment of P about a line joining points O and D .
The moment of P about a line joining points O and D is 3145.0532 ± 5% lb in. Explanation: An expression for P in terms of its unit vector is derived as follows: The moment of P about axis OD is given by the mixed triple product.
Evaluate the mixed triple product by setting up a determinant to obtain the solution.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help