{"id":357,"date":"2017-08-05T10:21:12","date_gmt":"2017-08-05T10:21:12","guid":{"rendered":"http:\/\/tmfwarszawa.pl\/?page_id=357"},"modified":"2019-02-09T23:00:08","modified_gmt":"2019-02-09T23:00:08","slug":"zadania-2017-ang","status":"publish","type":"page","link":"https:\/\/tmfwarszawa.pl\/index.php\/archiwum\/sklad-druzyny-2017\/zadania-2017-ang\/","title":{"rendered":"Zadania 2017 (ang)"},"content":{"rendered":"

Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things.<\/em>
\nIsaac Newton<\/p>\n

\n1. Invent Yourself<\/strong>
\nConstruct a passive device that will provide safe landing\u00a0for an uncooked hen\u2019s egg when dropped onto a hard\u00a0surface from a fixed height of 2.5 m. The device must\u00a0fall together with the egg. What is the smallest size of\u00a0the device you can achieve?<\/p>\n

2. Balloon Airhorn<\/strong>
\nA simple airhorn can be\u00a0constructed by stretching\u00a0a balloon over the opening of a small container or cup\u00a0with a tube through the\u00a0other end (see Figure).\u00a0Blowing through a small\u00a0hole in the side of the\u00a0container can produce a sound. Investigate how\u00a0relevant parameters affect the sound.<\/p>\n

\n3. Single Lens Telescope<\/strong>
\nA telescope can be built using a single lens, provided\u00a0that a small aperture is used instead of an eyepiece.\u00a0How do the parameters of the lens and the hole\u00a0influence the image (e.g. magnification, sharpness and\u00a0brightness)?<\/p>\n

\n4. Magnetic Hills<\/strong>
\nA small amount of a ferrofluid placed in an\u00a0inhomogeneous magnetic field forms hill-like structures.\u00a0Investigate how the properties of these structures\u00a0depend on relevant parameters.<\/p>\n

5. Leidenfrost Stars<\/strong>
\nIn the Leidenfrost effect, a water drop placed on a hot\u00a0surface can survive for minutes. Under certain\u00a0circumstances, such a drop develops oscillating star\u00a0shapes. Induce different oscillatory modes and\u00a0investigate them.<\/p>\n

\n6. Fast Chain
\nA chain consisting of wooden\u00a0blocks inclined relative to the\u00a0vertical and connected by two\u00a0threads (see Figure) is\u00a0suspended vertically and then\u00a0released. Compared to free fall,\u00a0the chain falls faster when it is\u00a0dropped onto a horizontal\u00a0surface. Explain this\u00a0phenomenon and investigate how\u00a0the relevant parameters affect the\u00a0motion.<\/p>\n

\n7. Spiral Waves
\nSpiral waves and other types of\u00a0wave patterns may occur on a\u00a0thin liquid film flowing over a rotating disk. Investigate\u00a0these wave patterns.<\/p>\n

\n8. Visualising Density<\/strong>
\nSchlieren Photography is often used to visualise density\u00a0variations in a gas. Build a Schlieren setup and\u00a0investigate how well it can resolve density differences.<\/p>\n

\n9. Ball in a Tube<\/strong>
\nA sealed transparent tube is filled with a liquid and\u00a0contains a small ball. The tube is inclined and its lower\u00a0end is attached to a motor such that the tube traces a\u00a0conical surface. Investigate the motion of the ball as a\u00a0function of relevant parameters.<\/p>\n

\n10. Pulling Glasses Apart<\/strong>
\nPut a thin layer of water between two sheets of glass\u00a0and try to separate them. Investigate the parameters\u00a0affecting the required force.<\/p>\n

\n11. Hair Hygrometer<\/strong>
\nA simple hygrometer can be built using human hair.\u00a0Investigate its accuracy and response time as a function\u00a0of relevant parameters.<\/p>\n

\n12. Torsion Gyroscope<\/strong>
\nFasten the axis of a wheel to a\u00a0vertical thread that has a certain\u00a0torsional resistance (see Figure).\u00a0Twist the thread, spin the wheel,\u00a0and release it. Investigate the\u00a0dynamics of this system.<\/p>\n

\n13. Resonating Glass<\/strong>
\nA wine glass partially filled with liquid will resonate when exposed\u00a0to the sound from a loudspeaker.\u00a0Investigate how the phenomenon\u00a0depends on various parameters.<\/p>\n

\n14. Gee-Haw Whammy Diddle<\/strong>
\nA gee-haw whammy diddle is a mechanical toy\u00a0consisting of a simple wooden stick and a second stick\u00a0that is made up of a series of notches with a propeller\u00a0at its end. When the wooden stick is pulled over the\u00a0notches, the propeller starts to rotate. Explain this\u00a0phenomenon and investigate the relevant parameters.<\/p>\n

\n15. Boiled Egg<\/strong>
\nSuggest non-invasive methods to detect the degree to\u00a0which a hen\u2019s egg is cooked by boiling. Investigate the\u00a0sensitivity of your methods.<\/p>\n

\n16. Metronome Synchronization<\/strong>
\nA number of mechanical metronomes standing next to\u00a0each other and set at random initial phases under\u00a0certain conditions reach synchronous behaviour in a\u00a0matter of minutes. Investigate the phenomenon.<\/p>\n

\n17. Vacuum Bazooka<\/strong>
\nA \u2018vacuum bazooka\u2019 can be built with a simple plastic\u00a0pipe, a light projectile, and a vacuum cleaner. Build such\u00a0a device and maximise the muzzle velocity.<\/p>\n

Download pdf.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things. Isaac Newton 1. Invent Yourself Construct a passive device that will provide safe landing\u00a0for an uncooked hen\u2019s egg when dropped onto a hard\u00a0surface from a fixed height of 2.5 m. The device must\u00a0fall together with the egg. What […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":350,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-357","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P4R8YU-5L","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/357","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/comments?post=357"}],"version-history":[{"count":4,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/357\/revisions"}],"predecessor-version":[{"id":1589,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/357\/revisions\/1589"}],"up":[{"embeddable":true,"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/pages\/350"}],"wp:attachment":[{"href":"https:\/\/tmfwarszawa.pl\/index.php\/wp-json\/wp\/v2\/media?parent=357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}