{"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=IQoJb3JpZ2luX2VjEIb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCWV1LXdlc3QtMSJHMEUCIFpO598sJ871l8GOsO1Y%2Bs5hV6CZw%2FjXENhXPw2waOqSAiEAww%2FgC1E%2BI5O%2FLOfcUgRPZxRG%2BcbNhBf8S0lxnat%2BOnsquAUITxAFGgwyNzM1NzAxOTU0MzMiDPymTCwgcmabC2xcniqVBbxr0cmBORupwbCy3J3vzb79pXDg4%2BRkM%2B%2BCFMEyDOq%2F%2FyAsDDTSbjRwwyA5Rc%2FJU7lPL2hoGjrmiDJowf7OiqsTxo9X97jS7oGeNUgqHZGa%2Fi4wTC%2BPGn8HBw67D%2F%2B1GrrrRSlY2ViXoDPheUXqCs%2FtitcIY8Rxr48ljVHCRX2GYfA8t%2Fxx28N1bLHW5HJTgPrmb7oJs6RviOOw86zB6MuZzwu25%2BR9znnbS8iYB8uZW5%2BrpV%2BgOiMZpWcgqlWSnBhtvSoLsNUTiStz1tyYWc2EXQOqwC5%2Fp7h4FNcHKYwBuV229oJF6i29Hh%2BdPw%2FyHZCJfJsAdrdatt2g55n37X%2B2iSNawWmfvX76AFqvYBIG507qIEZW4%2FAKdJuJKt8OCCzvmSXd8LLhi5MX%2Fzh3QZChppsAPGGgpeIBRT6bKtbT3bs8JfWybnMhQ04s76zz%2B3wLRlvci%2F8PUCQ%2FFhrC0dK6C7%2FYtVMzqg2czA7C%2FmwJ5odd65ozrJV%2FyPImXfK%2BIuGmWUDcyNyeml1F9dTvRqEeziq%2B7FwUgqOllf0qhZ9gYJWVwVuhWvptfm%2BgYL%2BxmZohx3F9%2B6dbuKNw4YwNBF9ySzX4JMDteFB3yzRKkrOg47GfcfkzFrPCmAOeru68E%2BN%2BVF%2BLpt5CvmS9FU8qtORj%2F4XfPA312SNe4C6qalMwBSaoa6kBURhLfsfa2S3SlgGe4Eo5OFC3wcM%2FEWSU6hlVHbhY49EnsfgDkLDTJKkmY3VrPqkMCZ1QoPm2DiKqnmkmKN9%2B9kbokDlNR3xI32mSn1UgU9chZBDoKVmTbWpQ1zBZKQioRK7pMCdO1yrFZufWdBCKB8gEP1tClJktXObHLBd27ooxK004sCJe2J8FRW4zag8wtZzG1AY6sQFj6bFvu6kPRxvJXcZHl833I6kDbLFHBVD3WItLyiH9ILnosPf5uSwI6%2BPT%2BHXmCXB37g68y6H5d1ZL7v3ZLCzjr4JEJksAWHf3eE9TC9WuMTpz0YJkkcA21l5Qk%2ByO%2Fi%2BL%2FEOeYrOBVc76TsdzmdejUltJ0lIXvl9QDORiPFQmk1K8uesUKVUiz7AW7Lpex6nslG4OhIACyDnRxbodmlQ9F4zuVNTF4SnQX5aALE8D1hU%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UWJIM43B2%2F20260828%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260828T134715Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=599092422fbde8d3eae7664e984a7d57dec8a700f19138ee915148a6d1961cda\" 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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}]}}