HW1_assignment

HW1_assignment - 1 z 2 and express the result in the form...

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

View Full Document Right Arrow Icon
SE 101C/ MAE 130C MECHANICS III: VIBRATIONS Dr. Van Den Einde Spring 2010 Page 1 HOMEWORK 1 Due: 4/14/10 1. A body weighing 25 lb is suspended from a spring of constant k = 160 lb/ft (see Figure 1). At time t = 0, it has a downward velocity of 2 ft/sec as it passes through the position of static equilibrium. Determine: a. The static spring deflection δ st b. The natural frequency of the system in both rad/sec ( ω n ) and cycles/sec (f n ) c. The system period T d. The displacement x as a function of time, where x is measured from the position of static equilibrium e. The maximum velocity v max attained by the mass f. The maximum acceleration a max attained by the mass. 2. Rao 1.9 3. Derive the equivalent spring constant for the system in Figure 2. 4. Rao 1.35 5. Given two complex numbers z 1 = (2+2i) and z 2 = (4-3i) a. Add z
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 + z 2 and express the result in the form Ae i θ . b. Subtract z 1- z 2 and express the result in the form Ae i θ . c. Find the product of z 1 x z 2 and express the result in the form Ae i θ . d. Find the quotient z 1 /z 2 and express the result in the form Ae i θ . 6. Determine the sum of two vectors 2e i π/4 and 3e i π/6 and find the angle between the resultant and the first vector. 7. Rao 2.29 (solve Rao 2.26 first to be used in Rao 2.29) Figure 1 Figure 2 W=25lb x SE 101C/ MAE 130C MECHANICS III: VIBRATIONS Dr. Van Den Einde Spring 2010 Page 2 8. Draw the free-body diagram and derive the equation of motion for the system in Figure 4 using Newton’s second law and Conservation of Energy. 9. Rao 2.53 10. Rao 2.73 11. Rao 2.89 12. Rao 2.106 Figure 4...
View Full Document

This note was uploaded on 04/21/2010 for the course MAE 130C taught by Professor Nesterenko during the Spring '08 term at UCSD.

Page1 / 2

HW1_assignment - 1 z 2 and express the result in the form...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online