Download Introduction to Statistics - Test 1 Solutions | ESM 2104 and more Exams Statics in PDF only on Docsity! 45.5 lb 29.7 lb 30.6 lb 6.95 lb a b a b R R P P = = = = Name______________________ ESM 2104 With Answers Test #1 September 17, 2008 Closed book, but you may use one 8½”x 11" formula sheet (one side only) with anything you hand-write on the one side of the sheet. There are 15 questions, equally weighted. 1. Fill in your name on this exam sheet. 2. Fill in your name and ID number on the orange opscan form 3. On the upper right-hand corner of the this test is a Form Letter. Fill in your Form letter on your opscan 4. You must show some supporting work on the test or you could receive no credit. Sign the following pledge: I have neither given nor received unauthorized aid on this exam. ___________________________ 1. The force F = 40 lb can be written in terms of scalar components Ra and Rb. The scalar component Rb is most nearly 1. 6.95 lb 2. 25.7 lb 3. 26.1 lb 4. 29.7 lb 5. 30.6 lb 6. 33.6 lb 7. 39.4 lb 8. 40.0 lb 9. 45.5 lb 10. 61.3 lb 2. The projection of the force F on the line b is most nearly 1. 6.95 lb 2. 25.7 lb 3. 26.1 lb 4. 29.7 lb 5. 30.6 lb 6. 33.6 lb 7. 39.4 lb 8. 40.0 lb 9. 45.5 lb 10. 61.3 lb 25 1076 lb 35 1053 lb 50 1005 lb R R R θ θ θ = ° ⇒ = = ° ⇒ = = ° ⇒ = 60 lb 617 lb-in 70 lb 719 lb-in 80 lb 822 lb-in F M F M F M = ⇒ = = ⇒ = = ⇒ = 3. The magnitude of the resultant force (sum) is most nearly 1. 377 lb 2. 437 lb 3. 539 lb 4. 942 lb 5. 985 lb 6. 1005 lb 7. 1039 lb 8. 1053 lb 9. 1076 lb 10. 1100 lb 4. The magnitude of the moment of the force F about the point O is most nearly 1. 527 lb-in 2. 544 lb-in 3. 614 lb-in 4. 617 lb-in 5. 666 lb-in 6. 702 lb-in 7. 719 lb-in 8. 777 lb-in 9. 822 lb-in 10. 888 lb-in max 753 N, 1453 N, 1083 N. E A P = = = 9. If P = 800 N, then the force in the support at E is most nearly 1. 467 N 2. 497 N 3. 753 N 4. 1083 N 5. 1250 N 6. 1365 N 7. 1453 N 8. 1851 N 9. 2170 N 10. 2220 N 10. If P = 800 N, then the force in the pin at A is most nearly 1. 467 N 2. 497 N 3. 753 N 4. 1083 N 5. 1250 N 6. 1365 N 7. 1453 N 8. 1851 N 9. 2170 N 10. 2220 N 11. What is the maximum value that P may have for static equilibrium? 1. 467 N 2. 497 N 3. 753 N 4. 1083 N 5. 1250 N 6. 1365 N 7. 1453 N 8. 1851 N 9. 2170 N 10. 2220 N 60 N, 193.7 N.T O= = The two pulleys are welded together so that they move as one single body. The composite body is pinned at O. The body is in equilibrium. 12. The force T is most nearly 1. 50 N 2. 60 N 3. 80 N 4. 100 N 5. 110 N 6. 120 N 7. 213 N 8. 220 N 9. 260 N 10. 540 N 13. The magnitude of the force in the pin at O is most nearly 1. 50.0 N 2. 80.0 N 3. 93.6 N 4. 110.0 N 5. 159.5 N 6. 193.7 N 7. 211 N 8. 226 N 9. 350 N 10. 510 N 566 N, 283 N.A B= = The 50-kg uniform sphere rests as shown against the smooth surfaces at A and B. 14. The contact force at B is most nearly 1. 43.3 N 2. 50.0 N 3. 57.7 N 4. 245 N 5. 283 N 6. 425 N 7. 491 N 8. 566 N 9. 850 N 10. 981 N 15. The contact force at A is most nearly 1. 43.3 N 2. 50.0 N 3. 57.7 N 4. 245 N 5. 283 N 6. 425 N 7. 491 N 8. 566 N 9. 850 N 10. 981 N
