{"id":125,"date":"2024-08-26T14:37:21","date_gmt":"2024-08-26T14:37:21","guid":{"rendered":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/?post_type=chapter&#038;p=125"},"modified":"2024-09-18T12:46:25","modified_gmt":"2024-09-18T12:46:25","slug":"lesson-10-einfuhrung-schwingungen-harmonischer-oszillator","status":"publish","type":"chapter","link":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/chapter\/lesson-10-einfuhrung-schwingungen-harmonischer-oszillator\/","title":{"raw":"Lesson 10. Einf\u00fchrung Schwingungen Harmonischer Oszillator","rendered":"Lesson 10. Einf\u00fchrung Schwingungen Harmonischer Oszillator"},"content":{"raw":"<img id=\"zb5766181f7b5\" class=\"in-list alignnone wp-image-210 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/WP0-CIPRF91493\/wp-content\/uploads\/sites\/659\/2020\/12\/Feder-Schwingungen.png\" alt=\"\" width=\"1616\" height=\"369\" \/>\r\n\r\n<img id=\"z7c3a539854d5\" class=\"in-list alignnone wp-image-596 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/WP0-CIPRF91493\/wp-content\/uploads\/sites\/659\/2020\/12\/Learning-objectives-scaled.jpg\" alt=\"\" width=\"2560\" height=\"251\" \/>\r\n<p style=\"padding-left: 40px\"><span style=\"text-decoration: underline;color: #003366\"><strong>Students should be able to:<\/strong><\/span><\/p>\r\n\r\n<ul>\r\n \t<li><span style=\"color: #003366\">Describe the movement of pendula and springs by defining the forces, setting up the equation of motion and solving simple equations of motion.<\/span><\/li>\r\n \t<li><span style=\"color: #003366\">Describe the transfer of potential to kinetic energy during the oscillation of a pendulum or a spring.<\/span><\/li>\r\n \t<li><span style=\"color: #003366\">Identify amplitude and frequency in position functions of oscillations.<\/span><\/li>\r\n \t<li><span style=\"color: #003366\">Calculate the eigenfrequency of a harmonic oscillator with given mass and spring constant.<\/span><\/li>\r\n<\/ul>\r\n&nbsp;\r\n\r\n<img id=\"zd7f624e0bb52\" class=\"in-list alignnone wp-image-76 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/engagingphysicstutoringintroductiontonuclearandparticlephysics\/wp-content\/uploads\/sites\/913\/2021\/06\/Materials-3-scaled.jpg\" alt=\"\" width=\"2560\" height=\"276\" \/>\r\n<p id=\"zbc495108649b\" class=\"in-list\" style=\"text-align: center\"><strong><span class=\"very-loose\"><span id=\"z04752ae02202\" class=\"in-list tight\">Warmup your students: <\/span><\/span><\/strong><span class=\"very-loose\"><span id=\"z04752ae02202\" class=\"in-list tight\">ask\u00a0 activating questions <\/span><\/span><span class=\"very-loose\"><span class=\"in-list tight\">at the beginning\u00a0 of the lesson<\/span><\/span><\/p>\r\n\r\n<pre class=\"in-list\" style=\"text-align: center\"><\/pre>\r\n\r\n<hr \/>\r\n\r\n<img id=\"zd138af73f684\" class=\"in-list alignnone wp-image-594 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/engagingphysicstutoringintroductiontonuclearandparticlephysics\/wp-content\/uploads\/sites\/913\/2021\/06\/title-63-small-1-scaled.jpg\" alt=\"\" width=\"2560\" height=\"223\" \/>\r\n\r\n<img id=\"z2c76f1bee79d\" class=\"in-list alignnone wp-image-127 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" \/> <img id=\"z1e5aef9635eb\" class=\"in-list alignnone wp-image-128 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" \/> <img id=\"z6291a1ae263d\" class=\"in-list alignnone wp-image-129 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" \/>\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<hr \/>\r\n\r\n<img id=\"z552bbdbeb2ff\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/title-64-small-1-scaled.jpg\" \/>\r\n<pre id=\"za115630cf6ad\" class=\"in-list\" style=\"text-align: center\">Download slides with example of lesson design: <a href=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Lektion_10.pdf\">Lektion_10<\/a><\/pre>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" id=\"zb5766181f7b5\" class=\"in-list alignnone wp-image-210 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/WP0-CIPRF91493\/wp-content\/uploads\/sites\/659\/2020\/12\/Feder-Schwingungen.png\" alt=\"\" width=\"1616\" height=\"369\"><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" id=\"z7c3a539854d5\" class=\"in-list alignnone wp-image-596 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/WP0-CIPRF91493\/wp-content\/uploads\/sites\/659\/2020\/12\/Learning-objectives-scaled.jpg\" alt=\"\" width=\"2560\" height=\"251\"><\/p>\n<p style=\"padding-left: 40px\"><span style=\"text-decoration: underline;color: #003366\"><strong>Students should be able to:<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #003366\">Describe the movement of pendula and springs by defining the forces, setting up the equation of motion and solving simple equations of motion.<\/span><\/li>\n<li><span style=\"color: #003366\">Describe the transfer of potential to kinetic energy during the oscillation of a pendulum or a spring.<\/span><\/li>\n<li><span style=\"color: #003366\">Identify amplitude and frequency in position functions of oscillations.<\/span><\/li>\n<li><span style=\"color: #003366\">Calculate the eigenfrequency of a harmonic oscillator with given mass and spring constant.<\/span><\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" id=\"zd7f624e0bb52\" class=\"in-list alignnone wp-image-76 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/engagingphysicstutoringintroductiontonuclearandparticlephysics\/wp-content\/uploads\/sites\/913\/2021\/06\/Materials-3-scaled.jpg\" alt=\"\" width=\"2560\" height=\"276\"><\/p>\n<p id=\"zbc495108649b\" class=\"in-list\" style=\"text-align: center\"><strong><span class=\"very-loose\"><span id=\"z04752ae02202\" class=\"in-list tight\">Warmup your students: <\/span><\/span><\/strong><span class=\"very-loose\"><span id=\"z04752ae02202\" class=\"in-list tight\">ask\u00a0 activating questions <\/span><\/span><span class=\"very-loose\"><span class=\"in-list tight\">at the beginning\u00a0 of the lesson<\/span><\/span><\/p>\n<pre class=\"in-list\" style=\"text-align: center\"><\/pre>\n<hr>\n<p><img loading=\"lazy\" decoding=\"async\" id=\"zd138af73f684\" class=\"in-list alignnone wp-image-594 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/engagingphysicstutoringintroductiontonuclearandparticlephysics\/wp-content\/uploads\/sites\/913\/2021\/06\/title-63-small-1-scaled.jpg\" alt=\"\" width=\"2560\" height=\"223\"><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" id=\"z2c76f1bee79d\" class=\"in-list alignnone wp-image-127 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" srcset=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-scaled.jpg 2560w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-300x208.jpg 300w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-1024x709.jpg 1024w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-768x532.jpg 768w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-1536x1063.jpg 1536w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-2048x1418.jpg 2048w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-65x45.jpg 65w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-225x156.jpg 225w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide1-9-350x242.jpg 350w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\"> <img loading=\"lazy\" decoding=\"async\" id=\"z1e5aef9635eb\" class=\"in-list alignnone wp-image-128 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" srcset=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-scaled.jpg 2560w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-300x208.jpg 300w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-1024x709.jpg 1024w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-768x532.jpg 768w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-1536x1063.jpg 1536w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-2048x1418.jpg 2048w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-65x45.jpg 65w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-225x156.jpg 225w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide2-9-350x242.jpg 350w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\"> <img loading=\"lazy\" decoding=\"async\" id=\"z6291a1ae263d\" class=\"in-list alignnone wp-image-129 size-full\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-scaled.jpg\" alt=\"\" width=\"2560\" height=\"1772\" srcset=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-scaled.jpg 2560w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-300x208.jpg 300w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-1024x709.jpg 1024w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-768x532.jpg 768w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-1536x1063.jpg 1536w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-2048x1418.jpg 2048w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-65x45.jpg 65w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-225x156.jpg 225w, https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Slide3-9-350x242.jpg 350w\" sizes=\"auto, (max-width: 2560px) 100vw, 2560px\"><\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<hr>\n<p><img decoding=\"async\" id=\"z552bbdbeb2ff\" src=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/title-64-small-1-scaled.jpg\" alt=\"image\"><\/p>\n<pre id=\"za115630cf6ad\" class=\"in-list\" style=\"text-align: center\">Download slides with example of lesson design: <a href=\"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-content\/uploads\/sites\/2103\/2024\/08\/Lektion_10.pdf\">Lektion_10<\/a><\/pre>\n","protected":false},"author":3500,"menu_order":10,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[49],"contributor":[],"license":[],"class_list":["post-125","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":3,"_links":{"self":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapters\/125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/wp\/v2\/users\/3500"}],"version-history":[{"count":3,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapters\/125\/revisions"}],"predecessor-version":[{"id":161,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapters\/125\/revisions\/161"}],"part":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapters\/125\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/wp\/v2\/media?parent=125"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/pressbooks\/v2\/chapter-type?post=125"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/wp\/v2\/contributor?post=125"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/wp-prd.let.ethz.ch\/physcs1phys\/wp-json\/wp\/v2\/license?post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}