Final-f10

# Final-f10 - blocks are at rest During the first Â Ã time...

This preview shows pages 1–2. Sign up to view the full content.

1 AMS 361: Applied Calculus IV by Prof. Y. Deng Final Test: (12/16/2010) at 2:15PM-4:45PM ESS 001 (1) Open Book and Own Lecture Notes; (2) No Electronics Allowed; (3) Do Any Four of The Five Problems; (4) You Must Mark The Four Problems You Attempt; (5) Will Only Grade The First Four If You Don’t Mark; (6) Each Problem Is Worth 9.0 Points As Indicated with Max 35 Points; (7) Covers Material for the Full Semester; (7) No Name, No Grades. Class ID: Name: You must write your name here. No Name, No Score! SBID: Problems To Grade? Score Remarks F-1 F-2 F-3 F-4 F-5 Total Score F-1 (9.0 Points): Find the general solution of the following DE ± ² ³ ´µ ¶ ·¸ ¹ ± ¶ º± »¼ ± ½ ¾ where ¿ is a large given integer, for example, ¿ ½ º¾·¾ . F-2 (9.0 Points): Two blocks of masses À and Á are attached to three mass-less springs of the same spring constant. They are placed on a horizontal and perfectly smooth bench. Initially, the blocks are placed with spring staying at their natural lengths and both

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: blocks are at rest. During the first Â Ã time, a constant force Ä is added to the left block Å from left to right. At the end of the Â Ã time, immediately, a constant force “ ³Ä ” (same magnitude and at the opposite direction) is added to the same block for ÂÆÃ time. Then, no more external force is added to the blocks. Find the displacements of the blocks as a function of time. M m 2 F-3 (9.0 Points): Solve the following equations ± ²² ³ ´± ² ³ ± µ ¶·¸ ¹ º» ³ ¼·¸ ¹ ½» ±·¾» µ ¾ ± ² ·¾» µ ¾ ¿ where À and ÁÂ are given constants. F-4 (9.0 Points): Solve the following integral equation: ±·¸» µ ¸Ã ÄÅ ¹ Æ Ã Ç·ÅÈÉ» ±· Å Ê Ë»ÌË F-5 (9.0 Points): Find the general solutions of the following system of equations using any one of your favorite methods: ± ² ¹ ± ¹ ´Í ¹ Î µ ¾ Í ² ¹ Ï± ³ Í µ ¾ Î ² ³ ± ³ ´Í ³ Î µ ¾ ¿...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Final-f10 - blocks are at rest During the first Â Ã time...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online