midterm1 sol

midterm1 sol - Midterm 1 Physics 1B Name: ID number:...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Midterm 1 Physics 1B Name: ID number: Lecture 1 Section (A-F): 1. Three identical springs with the spring constant k = 100 N/m are connected as shown in the figure. Neglecting the friction, calculate the period of oscillations of the mass m = 6 kg. m k k k Solution. A displacement x causes each of the springs on the left-hand side to compress by ( x/ 2). Because the two springs are in series, they produce equal forces: F 1 = F 2 =- k x 2 . Meanwhile, the spring on the right acts with force F 3 =- kx. The net returning force is, therefore, F net =- k x 2- kx =- 3 k 2 x =- k eff x, where k eff = 3 k 2 . The period of oscillations T = 2 s m k eff = 2 s 2 m 3 k = 1 s 1 2. The two weights, m 1 = 1 kg and m 2 = 2 kg hang on the spring as shown in the figure. Ini- tially the system is in equilibrium, and the...
View Full Document

This note was uploaded on 04/02/2008 for the course PHYS 1B taught by Professor Kusenko during the Spring '07 term at UCLA.

Page1 / 5

midterm1 sol - Midterm 1 Physics 1B Name: ID number:...

This preview shows document pages 1 - 3. Sign up to view the full document.

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