{"id":54,"date":"2016-05-06T12:51:10","date_gmt":"2016-05-06T12:51:10","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/?page_id=54"},"modified":"2016-05-06T12:51:10","modified_gmt":"2016-05-06T12:51:10","slug":"rotational-motion-2","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/rotational-motion-2\/","title":{"rendered":"Rotational Motion 2"},"content":{"rendered":"<p style=\"text-align: center\"><strong><u>ROTATIONAL MOTION 2<\/u><\/strong><\/p>\n<p><strong><u>\u00a0<\/u><\/strong><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<ol>\n<li>A horizontal disc rotating freely about a vertical axis makes 90 revolutions per minute. An object of mass 20g falls vertically onto the disc and sticks to it at a distance of 50mm from the axis of rotation. If the speed of rotation is reduced to 80rpm, find the moment of inertia of the disc.<\/li>\n<\/ol>\n<p><strong>\u00a0<\/strong><\/p>\n<ol start=\"2\">\n<li>The diagram shows a cylindrical drum of moment of inertia 0.50kgm<sup>2<\/sup> and radius 20cm, which is free to rotate about an axle through the axis as shown. A string of length 8.8m is wound around the drum and pulled with a constant force of 10N.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture2.png\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-55\" src=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture2-300x137.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&#038;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQDVCnB0qcntyX57Y7gmi00ECtLVfdLWmNVBgTAawhiQXgIgJ9oPEPSTpIQijdzUfwBZZ19TQybcRvE79S12vYbW17kquAUIdxAFGgwyNzM1NzAxOTU0MzMiDJermNgLyh%2B3hKibWCqVBYhWeS1hSd16BXXrhlYRA32GMbA9ro99BvgT0%2BJ56s%2FkyUvxn9jX2ol%2F02CMosJC8sZfa87s60bRMRBog5Vz9RfnaxmB7qxsPO733MH6%2FXddgz9%2Fos8CVF8Q8pSu7H8yzDbUeK5wRXlEaWp4A6hsCS0SJkd%2FNhF5KZk0c18NHJ2qp%2BdDD6L7ZVAfhX%2BttJ3gXA9OHPdj1swxbR5wSCfNsnfAhjGnWbCnaY%2BWDHEkv5UJwMswKc4qEWifDZnn6h84M5nH5BhxFIogkjHkoNOI66UdraIEcSo%2B4gJVsnG7a4K4zHPs3%2FQDkRW4hF2aqZeFu1ug461WAS%2FJPYJ04dYTyZIMqohYHKiQxP0xKgLmuVgj25Pxm8C0htkLBKMGKD0Rt0hfKdvFb0bHDhDH4%2B%2BVSOJAIlBG202e8axzFtj%2FmiXUqIsXUe2qA6WNeMbFSYgOFIeaWd8rTtaiHlxElVu9ikPiKQtrsPDQxD6XS1O3ibb3E7CsvjWuiiVSJnRmshVHw0zgL2TWTf1lHOMauowf%2BbCnOeApowxDhbjd8iqOftgOer3QpyenCrRF%2BUMtJ07aAcVvfrTbcFWJbW1s4wKyMIJJgI9cmcoDW7kh3%2FcwFtX1m0j02ZjaVorpQ6Un85UHtc%2BXxWjJvvsfZvjBeSe%2BtYu%2FJ9KrT0O8zfbMNgAKTuoE7TpkwSOm7PsVJe3yNFNNMOWXRx%2B%2F4f%2Bwy5Zqg35S6QopMRDGOelgcPTByENfutzcM7nB54rDSC6aMdqJCBCyEJL%2B%2B95TB8o870Y4QuxyopMG43eEuO97TbFMqrXv3fAXm%2F1ChJJCdDNNdbcbv5CFZn45jVuyctciM0mrFpNoKiqgzMrBIa%2FI7n3J0ap7Cb9RqzlbXmcwjonu0gY6sQGuScmg0mAen9TDvJtxg2FAgLkClYiiKC8OO4BPFSICU7Wnxmg%2FMxv7aoc0gzGSRFpNebsTOTM8yAEDoFXotFNXCN5CNhEGbtk1ZQ8DTjMSni9Fqb569Wvq9UOu%2FYbQrOa8OMt0IROJPfMZ9Dp7g36Bmdkcqt0ZjQhR4qYZnU3YjENVYFlD6MoQVSHIGXtYq62OBhawqPswe8Ja2Yh9QCLWx2fu37675Jw5bOhLGYds2kU%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UUAUCJZGN%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260718T140703Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=f0a5e6c55eb5539563d6e14238d0eec32f976924aa5cd1e6df38f3126f881d51\" 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srcset=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture2-300x137.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEK7%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIQDVCnB0qcntyX57Y7gmi00ECtLVfdLWmNVBgTAawhiQXgIgJ9oPEPSTpIQijdzUfwBZZ19TQybcRvE79S12vYbW17kquAUIdxAFGgwyNzM1NzAxOTU0MzMiDJermNgLyh%2B3hKibWCqVBYhWeS1hSd16BXXrhlYRA32GMbA9ro99BvgT0%2BJ56s%2FkyUvxn9jX2ol%2F02CMosJC8sZfa87s60bRMRBog5Vz9RfnaxmB7qxsPO733MH6%2FXddgz9%2Fos8CVF8Q8pSu7H8yzDbUeK5wRXlEaWp4A6hsCS0SJkd%2FNhF5KZk0c18NHJ2qp%2BdDD6L7ZVAfhX%2BttJ3gXA9OHPdj1swxbR5wSCfNsnfAhjGnWbCnaY%2BWDHEkv5UJwMswKc4qEWifDZnn6h84M5nH5BhxFIogkjHkoNOI66UdraIEcSo%2B4gJVsnG7a4K4zHPs3%2FQDkRW4hF2aqZeFu1ug461WAS%2FJPYJ04dYTyZIMqohYHKiQxP0xKgLmuVgj25Pxm8C0htkLBKMGKD0Rt0hfKdvFb0bHDhDH4%2B%2BVSOJAIlBG202e8axzFtj%2FmiXUqIsXUe2qA6WNeMbFSYgOFIeaWd8rTtaiHlxElVu9ikPiKQtrsPDQxD6XS1O3ibb3E7CsvjWuiiVSJnRmshVHw0zgL2TWTf1lHOMauowf%2BbCnOeApowxDhbjd8iqOftgOer3QpyenCrRF%2BUMtJ07aAcVvfrTbcFWJbW1s4wKyMIJJgI9cmcoDW7kh3%2FcwFtX1m0j02ZjaVorpQ6Un85UHtc%2BXxWjJvvsfZvjBeSe%2BtYu%2FJ9KrT0O8zfbMNgAKTuoE7TpkwSOm7PsVJe3yNFNNMOWXRx%2B%2F4f%2Bwy5Zqg35S6QopMRDGOelgcPTByENfutzcM7nB54rDSC6aMdqJCBCyEJL%2B%2B95TB8o870Y4QuxyopMG43eEuO97TbFMqrXv3fAXm%2F1ChJJCdDNNdbcbv5CFZn45jVuyctciM0mrFpNoKiqgzMrBIa%2FI7n3J0ap7Cb9RqzlbXmcwjonu0gY6sQGuScmg0mAen9TDvJtxg2FAgLkClYiiKC8OO4BPFSICU7Wnxmg%2FMxv7aoc0gzGSRFpNebsTOTM8yAEDoFXotFNXCN5CNhEGbtk1ZQ8DTjMSni9Fqb569Wvq9UOu%2FYbQrOa8OMt0IROJPfMZ9Dp7g36Bmdkcqt0ZjQhR4qYZnU3YjENVYFlD6MoQVSHIGXtYq62OBhawqPswe8Ja2Yh9QCLWx2fu37675Jw5bOhLGYds2kU%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UUAUCJZGN%2F20260718%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260718T140703Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=f0a5e6c55eb5539563d6e14238d0eec32f976924aa5cd1e6df38f3126f881d51 300w, https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture2.png 334w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Calculate,<\/p>\n<p>(a) the torque on the drum<\/p>\n<p>(b) its angular acceleration<\/p>\n<p>If the drum was initially at rest, find<\/p>\n<p>(c) its angular displacement when the string comes off<\/p>\n<p>(d) the time that elapses before the string comes off<\/p>\n<p>(e) the maximum angular velocity.<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li>A solid cylinder of mass 2.0kg and radius 10cm is set spinning and held just above a plane slope as shown.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture3.png\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-56\" 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300w, https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture3.png 425w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>The cylinder is then released so that it touches the slope at the bottom and starts to roll up it.<\/p>\n<p>(a) Calculate the rotational kinetic energy of the cylinder before it is released.<\/p>\n<p>(b) Describe the energy changes that take place from the moment the cylinder is released until it momentarily comes to rest at the top of the slope.<\/p>\n<p>(c) How far does the cylinder travel along the slope before changing direction?<\/p>\n<p>(d) Explain why in practice the actual distance travelled is less than this.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>ROTATIONAL MOTION 2 \u00a0 \u00a0 A horizontal disc rotating freely about a vertical axis makes 90 revolutions per minute. An object of mass 20g falls vertically onto the disc and sticks to it at a distance of 50mm from the axis of rotation. If the speed of rotation is reduced to 80rpm, find the moment &hellip; <a href=\"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/rotational-motion-2\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Rotational Motion 2<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":6460,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-54","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/54","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/users\/6460"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/comments?post=54"}],"version-history":[{"count":1,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/54\/revisions"}],"predecessor-version":[{"id":58,"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/pages\/54\/revisions\/58"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/gc\/advancedhigher\/wp-json\/wp\/v2\/media?parent=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}