{"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 loading=\"lazy\" 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=IQoJb3JpZ2luX2VjEAsaCWV1LXdlc3QtMSJHMEUCIQDGGeqpnHdxwQg1tLEClNRv93aL3m%2BELybWVUVL8CjztwIgPnl2TW4viYfLCY%2BDX4PU2HhUYCUdWIxZd4nTGD4loq4qwgUI0%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARAFGgwyNzM1NzAxOTU0MzMiDCXgZ07ALK6%2Feo2iFyqWBfZ6c7tnhjUvFKIpRDbyciYAaFxt61oqLBk97t2mIZOc6aARM%2Bw4cQIBQXzrS1dN8wuk6MQBMHTJxznZNMIcRsx%2BwaSEOA42GSLzxvwnMgB5XBRodtVGNNiThtnwJOpD%2FTeWuKDeBmbx3WfQKLhhN2JZD7uKRAoE%2BGPx93HdoTlhWRUFi9XYsBq0SAdrqThIRpJE2A3Dk%2BoJh6%2B8kyoy7JYR9k0pVX0wKHzqDa4Wh%2F9v1Y3L%2FHMDFgJ%2BNd6j5HaeWgab7C2TEhWUQcLDHD8UW6LB1BjWV%2Bmg8C0d1XjdelLb5Z2lA7m%2FlzJ758rXel%2FI%2FA2TfMWr5z72GjzTMkCV2u7OgtGATfCJymbt73vY%2F2yFNACWuuafkEYvLwJh5a2bN%2BZqdm0OSY4KI3dFokzG%2FMwTlcIY23qOTEfKKG2JO5dGXcCgnWk7RYDJbp1%2Bmu902K7jolLlTb%2FHRPkU0R4ixY6uctasCj0OdqMcmSxyGXfxDPd7hG9r9C2cK%2FiW86B6kQqNnARTgMDAxh1y7jCrMfLOCVQF9efzYCnwXad6s2iaSNeZgdIcHD7ia8yqrRbyQp2ANrpbPKkpObtgxvDn0hDDg88CQzFI8KCXY2SI1lIJiQurambk9qEvcoqnOa48QyHaJdGOQ7Tb84mHjjihf6AwbkFpf7Pvr4Vcgm4qnh3kBXrWueMh8uqkNXQ0Jv50uitp5n%2Fke8ygiP0ImmdJJPTAoDx%2Fh2F7wZRp3rsviiinzSozNolhmG4v5KJxOysrjYsfDChcp6O1l2ofY8%2FwfPzsk0MuCBvtDRABOkcC1Rypbw1ACPwNDYwh6fNabsrYu39f9pSFM619fMlcr1A7Z%2BUxB%2FEiqlHel%2F3OX7RShlVCf6dJK%2BLYMImxwM8GOrEBXawOjnEMXZ2ghimJb6Bqdx2XdKto0ycsdoMafb4nUY8GR11%2F%2Bo7aY6LtooynviHRIar0sYCW%2FCj2rzUSHnKonMwSSdlZCpaUBji%2FKJbgK5J6Kv6yjNJAj8s3Pw05Micaw2C33TCj6lUNWpJ98PiXEjNjFfykEMAmqvOpO6AZvdS0qsBEOHqgwC3NLNbf7bsCyhJe31xBps%2BfATWhKLyWVO4cHOhMWJRp2odGsWzGrVE7&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UWDSNW6XC%2F20260428%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260428T023631Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=1ed86161f268a98be2cb45139a112446d6695c36ecb1e618947386593a31a93b\" 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300w, https:\/\/blogs.glowscotland.org.uk\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture2.png 334w\" sizes=\"auto, (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 loading=\"lazy\" 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=\"auto, (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}]}}