(function () { function textOf(el) { return (el && el.textContent || "").replace(/\s+/g, " ").trim(); } function resolveItemUrl() { var match = window.location.search.match(/[?&]item=(\d+)/); if (!match) { return null; } return window.location.origin + "/a-" + match[1] + "/"; } function loadAccordion() { var url = resolveItemUrl(); if (!url) { return Promise.resolve(null); } return new Promise(function (resolve, reject) { var xhr = new XMLHttpRequest(); xhr.open("GET", url, true); xhr.onload = function () { if (xhr.status < 200 || xhr.status >= 400) { reject(new Error("item page " + xhr.status)); return; } var doc = new DOMParser().parseFromString(xhr.responseText, "text/html"); resolve(doc.querySelector(".phywe-item-accordion")); }; xhr.onerror = function () { reject(new Error("item page network error")); }; xhr.send(); }); } function parseItemBlocks(scope, withQuantity) { if (!scope) { return []; } var rows = scope.querySelectorAll(".itemslist .row.itemblocks"); var items = []; for (var i = 0; i < rows.length; i++) { var cols = rows[i].children; if (!cols.length) { continue; } var nameLink = cols[0].querySelector("a"); var numberLink = cols[1] ? cols[1].querySelector("a") : null; var item = { name: textOf(nameLink || cols[0]), mappedTo: textOf(numberLink) }; if (withQuantity && cols[2]) { var qty = parseInt(textOf(cols[2]).replace(/[^\d]/g, ""), 10); item.quantity = isNaN(qty) ? textOf(cols[2]) : String(qty); } if (item.name) { items.push(item); } } return items; } function fillTable(tableId, items, withQuantity) { var table = document.getElementById(tableId); if (!table || !items.length) { return; } var tbody = table.querySelector("tbody"); for (var i = 0; i < items.length; i++) { var tr = document.createElement("tr"); var nameTd = document.createElement("td"); nameTd.style.width = "80%"; nameTd.textContent = items[i].name; tr.appendChild(nameTd); var numberTd = document.createElement("td"); numberTd.textContent = items[i].mappedTo; tr.appendChild(numberTd); if (withQuantity) { var qtyTd = document.createElement("td"); qtyTd.textContent = items[i].quantity || ""; tr.appendChild(qtyTd); } tbody.appendChild(tr); } var wrapper = table.parentElement; while (wrapper && wrapper.className.indexOf("printtablediv") === -1) { wrapper = wrapper.parentElement; } if (wrapper) { wrapper.style.display = ""; } } function stepTitle(stepEl) { if (!stepEl) { return ""; } var titleEl = stepEl.querySelector(".card-header button div") || stepEl.querySelector(".card-header button"); return textOf(titleEl); } function setHeadline(tableId, title) { var headline = document.querySelector("#" + tableId + " .printtableheadline"); if (headline && title) { headline.textContent = title; } } function parseMedia(scope) { if (!scope) { return []; } var rows = scope.querySelectorAll(".itemslist .row.itemblocks"); var items = []; for (var i = 0; i < rows.length; i++) { var cols = rows[i].children; if (!cols.length) { continue; } var nameLink = cols[0].querySelector("a"); var fileLink = cols[1] ? cols[1].querySelector("a") : null; var item = { name: textOf(nameLink || cols[0]), mappedTo: textOf(fileLink || cols[1]), quantity: cols[2] ? textOf(cols[2]) : "" }; if (item.name) { items.push(item); } } return items; } function fillFromAccordion(accordion) { if (!accordion) { return; } var versucheStep = accordion.querySelector('[data-step="versuche"]'); var versuche = parseItemBlocks(versucheStep, false); setHeadline("print-versuche", stepTitle(versucheStep)); fillTable("print-versuche", versuche, false); var lieferumfangStep = accordion.querySelector('[data-step="lieferumfang"]'); var lieferumfang = parseItemBlocks(lieferumfangStep, true); fillTable("print-lieferumfang", lieferumfang, true); var zubehoer = accordion.querySelector('[data-step="zubehoer"]'); var sections = zubehoer ? zubehoer.querySelectorAll(".card-body") : []; var notwendig = []; var empfohlen = []; for (var i = 0; i < sections.length; i++) { var items = parseItemBlocks(sections[i], false); if (sections[i].querySelector(".text-red, .icon-warning-black")) { notwendig = items; } else if (sections[i].querySelector(".text-green, .icon-Mehrwert_black")) { empfohlen = items; } } fillTable("print-zubehoer-notwendig", notwendig, false); fillTable("print-zubehoer-empfohlen", empfohlen, false); var mediaStep = accordion.querySelector('[data-step="media"]'); var media = parseMedia(mediaStep); setHeadline("print-media", stepTitle(mediaStep)); fillTable("print-media", media, true); } function start() { var itemUrl = resolveItemUrl(); if (!itemUrl) { setTimeout(function () { window.print(); }, 2000); return; } loadAccordion() .then(function (accordion) { fillFromAccordion(accordion); }) .catch(function (err) { if (window.console && console.warn) { console.warn("Accordion konnte nicht geladen werden:", resolveItemUrl(), err); } }) .then(function () { setTimeout(function () { window.print(); }, 500); }); } if (document.readyState === "loading") { document.addEventListener("DOMContentLoaded", start); } else { start(); } })();
 

Technical data


Forced vibration and resonance with Cobra DigiCart

Article no: P6201200
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Principle

Oscillations are repeated temporal fluctuations of state variables of a system. Oscillations can be characterized by the specification of amplitude and frequency. The amplitude describes the extent of the oscillation from a defined rest position. The frequency indicates how many oscillations the system performs in one second. The frequency is the reciprocal value of the period duration of an oscillation.

Forced oscillation: For forced oscillation, an external frequency is forced upon the system. A mechanical mass-spring-system shall serve as an example.

Benefits

  • Free measuring software DigiCartAPP for all mobile devices and all operating systems (Windows, Android, iOS).
  • Especially understandable and didactically prepared test description can be called up in the DigiCartAPP.
  • Complete evaluation function for the measured data directly in the DigiCartAPP.
  • DigiCart:
    • Long-life lithium-ion batteries with charge protection function
    • Transmission of measurement data via Bluetooth 4.0
    • Integrated sensors (force, speed, acceleration and position sensor)
  • Digital measured value acquisition:
    • Future-oriented teaching: Integration into digital science teaching with tablets or smartphones.
    • Increased student motivation by using the intuitive DigiCartAPP.
    • Increase of media competence.

Tasks

1) Examine qualitatively the amplitude behaviour as a function of the excitation frequency.

2) Investigate quantitatively the dependence of the resonance frequency on the mass.

Learning Objectives

In this experiment the students learn about the behaviour of forced vibrations. The dependence of the resonance frequency on the mass is investigated.


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