Two blocks of mass m connected via springs to two walls

Assignment Help Physics

Reference no: EM13538043

Problem: The system pictured below consists of two blocks of mass m connected via springs to two walls. The springs all have spring constant k. a) Write the equations of motion for this system. Use as your variables the displacement of each block from its resting place. b) Write expressions for the positions of each block as a function of time for the normal mode in which both blocks begin at their resting positions traveling in opposite directions. Take their initial speeds to be v. Do this by guessing the form of the answer, then plugging it into the equations of motion to determine the angular frequency of the oscillation (and confirm that your expressions do satisfy both equations of motion)

Reference no: EM13538043

Questions Cloud

What is the mutual inductance of the two solenoids : A toroidal solenoid with mean radius r and cross-sectional area A is wound uniformly with N1 turns. A second toroidal solenoid with N2 turns is wound uniformly on top of the first, so that the two solenoids have the same cross-sectional area and m..

How much charge is stored on the capacitor : A 25C capacitor is charged to a potential of 18V. (a) How much charge is stored on the capacitor? (b) The potential is then changed so that the charge becomes 5.9x10-4C. What is the change in potential?

What is the frequency heard by the driver in the slower car : A car traveling at 30m/s overtakes another car only going 25m/s. When the faster car is still behind the slower car, it sounds a horn of frequency 1500Hz. What is the frequency heard by the driver in the slower car?

Write the equation for the wave drawn on the paper : A strip of paper is pulled along at 20m/s at a right angle to the plane of a .49m long pendulum. The pendulum has a small ink jet device to the bob so that it marks the position of the pendulum on the paper. The bob is held 8.0cm to one side and rele..

Two blocks of mass m connected via springs to two walls : The system pictured below consists of two blocks of mass m connected via springs to two walls. The springs all have spring constant k. Write the equations of motion for this system. Use as your variables the displacement of each block from its res..

What is the impedance of the circuit : A sinusoidal voltage ?v = (65 V) sin (140t) is applied to a series RLC circuit with L = 50 mH, C = 150 ?F, and R = 42 ?.

Photon compare with the analogous transition in hydrogen : When an electron undergoes a transition from a higher to lower state in singly ionized helium, how will the energy of the emitted photon compare with the analogous transition in hydrogen?

Find the minimum height of the bag such that fluid flows : Gravity fed intravenous infusions are made possible by hanging a bag of fluid above the patient. If blood pressure is 18 mm Hg above atmospheric pressure, find the minimum height of the bag such that fluid flows into the body. Assume the density of t..

Spring in the stretching to the work done in the compressing : A spring with spring constant k is initially compressed a distance x from its equilibrium length. After returning to its equilibrium, the spring is then stretched a distance x from that position. What is the ratio of the work that needs to be done on..

User Account

All Pages