{"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=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJHMEUCIQCS0KlocY4TLYGh5ab27mU%2F15gJXNUhSPFefJ5l0E%2Fk8wIgT68Lp13paP8KCjH%2Blw4J2XaENayuQFpqeLHLAxsCCfgquQUIMRAFGgwyNzM1NzAxOTU0MzMiDEUQRQrZ8%2F%2BQlCNE1iqWBf1B%2FlGwjGXSkBWNltgX9bWyS%2BtJS9R6%2BKaFI%2FJJ9LmbaQZoAbR0IhhtlA9ymFlks0RckhV3%2FUrbLzVhCOPpfVEgyXw8i%2BkFwXSps%2Fk76ovS3Q7aRN49KMI293mXrKua8oEdIEYSvkFdDuQIPcnW8RfAJENNstbhEL7DtG5oCgbLOoSDs7Q5%2FLDAnxiMNj0Z8qUUPT6KxWi7a%2F3B9ARuazpfA9RNRdZUP3sazP0GEQBBu7oMy4W3mPWigpVwsulovk7uNoICeb4FauTzRcuOXMkatMYlj3UBVtY6%2Fp41p4Tt22T1GVHJ3GoTlP8dHrfVA1lM%2Bx3Hf9Z7TyIK2nTlK4bDo4ehLPFzIrqXooVmRn%2B4TzXYIls5wc6JVTN70F%2FpYT%2BbAjxNpHpDrAF%2BcGPXfzhmc9PEWEU%2BCG5u%2BlBJ5MgT0VQtMHVTOzug7hSYt7panQdqqGFg0KZmWSpODmbYg6fUP3gm5Nlwndz49FG%2FZGoqb5DeAe1NWQ5VNA%2Fn0wJQR7JyZ3%2FnCfCbQv1TDKr71u36hzMkVXwdfor8N%2Fq2o20uTAG%2BwC81ptqM7l5MkwkWV6uSO0WAw6QrRpLs8M9tXLbVfAUIGx4m%2FHOY7wxPvgt5huhCJuSRqmu9LlDSlEQIcA0Y0IFLuFlG33rnD%2BC1lZOBjBAZ5rl1mYR5NAW83xOj269jwtf%2BWBEdwpxnXdsumGUk47wJtqhwlasjx84jakaFDJZTxR%2BuY897U3VjZdTfAHgUZG%2FbvpF1Y8WabGjaHyVAeX7ne4ukeRjVrgjOncpOGAZW6kCWVmTDciZkkqglG4weXiUjBwWX429FgV%2FP4OIO5EgXiNVrb%2B67jj3lhwHMIlyrp2%2BE8nXYXLybiXWzB7wLC%2FQ%2FMLPgoNYGOrEBEXe7wyQXAkl3GRvPd9aOBMvJ%2B56KbmNB42o89BFLogiRpvsWdIOPvwkGFL%2Fp%2B8rOYn590any%2FjRTIwtT36P%2Fmi%2FbUs6icMOD99DVHxNfT34BziRDSrxVlv0YpQ%2BHvIrSYqsZuGaV9en4EepA3gUGPAC2PlQCGV%2BXHnadCsW5A9GwnJUMjLTnkLadkJjJJDsCdwbvftZLy3LTeNBKdE9yvq6cIP2G1ldQSMhBtqphGKfu&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47URQXLK7EB%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261009T002705Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=899&#038;X-Amz-Signature=356fafd13fe7d06322a860a050827b26da763d63a8407a41fb6377b919795bf0\" 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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=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJHMEUCIQCS0KlocY4TLYGh5ab27mU%2F15gJXNUhSPFefJ5l0E%2Fk8wIgT68Lp13paP8KCjH%2Blw4J2XaENayuQFpqeLHLAxsCCfgquQUIMRAFGgwyNzM1NzAxOTU0MzMiDEUQRQrZ8%2F%2BQlCNE1iqWBf1B%2FlGwjGXSkBWNltgX9bWyS%2BtJS9R6%2BKaFI%2FJJ9LmbaQZoAbR0IhhtlA9ymFlks0RckhV3%2FUrbLzVhCOPpfVEgyXw8i%2BkFwXSps%2Fk76ovS3Q7aRN49KMI293mXrKua8oEdIEYSvkFdDuQIPcnW8RfAJENNstbhEL7DtG5oCgbLOoSDs7Q5%2FLDAnxiMNj0Z8qUUPT6KxWi7a%2F3B9ARuazpfA9RNRdZUP3sazP0GEQBBu7oMy4W3mPWigpVwsulovk7uNoICeb4FauTzRcuOXMkatMYlj3UBVtY6%2Fp41p4Tt22T1GVHJ3GoTlP8dHrfVA1lM%2Bx3Hf9Z7TyIK2nTlK4bDo4ehLPFzIrqXooVmRn%2B4TzXYIls5wc6JVTN70F%2FpYT%2BbAjxNpHpDrAF%2BcGPXfzhmc9PEWEU%2BCG5u%2BlBJ5MgT0VQtMHVTOzug7hSYt7panQdqqGFg0KZmWSpODmbYg6fUP3gm5Nlwndz49FG%2FZGoqb5DeAe1NWQ5VNA%2Fn0wJQR7JyZ3%2FnCfCbQv1TDKr71u36hzMkVXwdfor8N%2Fq2o20uTAG%2BwC81ptqM7l5MkwkWV6uSO0WAw6QrRpLs8M9tXLbVfAUIGx4m%2FHOY7wxPvgt5huhCJuSRqmu9LlDSlEQIcA0Y0IFLuFlG33rnD%2BC1lZOBjBAZ5rl1mYR5NAW83xOj269jwtf%2BWBEdwpxnXdsumGUk47wJtqhwlasjx84jakaFDJZTxR%2BuY897U3VjZdTfAHgUZG%2FbvpF1Y8WabGjaHyVAeX7ne4ukeRjVrgjOncpOGAZW6kCWVmTDciZkkqglG4weXiUjBwWX429FgV%2FP4OIO5EgXiNVrb%2B67jj3lhwHMIlyrp2%2BE8nXYXLybiXWzB7wLC%2FQ%2FMLPgoNYGOrEBEXe7wyQXAkl3GRvPd9aOBMvJ%2B56KbmNB42o89BFLogiRpvsWdIOPvwkGFL%2Fp%2B8rOYn590any%2FjRTIwtT36P%2Fmi%2FbUs6icMOD99DVHxNfT34BziRDSrxVlv0YpQ%2BHvIrSYqsZuGaV9en4EepA3gUGPAC2PlQCGV%2BXHnadCsW5A9GwnJUMjLTnkLadkJjJJDsCdwbvftZLy3LTeNBKdE9yvq6cIP2G1ldQSMhBtqphGKfu&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47URQXLK7EB%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20261009T002705Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=fe7f5a31bee29eecde53e28f66e9506caf1fc03e14fa81119f5a430c980b4a20 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\" src=\"https:\/\/glow-prod-gc.s3.eu-west-1.amazonaws.com\/gc\/public\/advancedhigher\/uploads\/sites\/6425\/2016\/05\/Capture3-300x114.png?X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&#038;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEGgaCWV1LXdlc3QtMSJHMEUCIQCS0KlocY4TLYGh5ab27mU%2F15gJXNUhSPFefJ5l0E%2Fk8wIgT68Lp13paP8KCjH%2Blw4J2XaENayuQFpqeLHLAxsCCfgquQUIMRAFGgwyNzM1NzAxOTU0MzMiDEUQRQrZ8%2F%2BQlCNE1iqWBf1B%2FlGwjGXSkBWNltgX9bWyS%2BtJS9R6%2BKaFI%2FJJ9LmbaQZoAbR0IhhtlA9ymFlks0RckhV3%2FUrbLzVhCOPpfVEgyXw8i%2BkFwXSps%2Fk76ovS3Q7aRN49KMI293mXrKua8oEdIEYSvkFdDuQIPcnW8RfAJENNstbhEL7DtG5oCgbLOoSDs7Q5%2FLDAnxiMNj0Z8qUUPT6KxWi7a%2F3B9ARuazpfA9RNRdZUP3sazP0GEQBBu7oMy4W3mPWigpVwsulovk7uNoICeb4FauTzRcuOXMkatMYlj3UBVtY6%2Fp41p4Tt22T1GVHJ3GoTlP8dHrfVA1lM%2Bx3Hf9Z7TyIK2nTlK4bDo4ehLPFzIrqXooVmRn%2B4TzXYIls5wc6JVTN70F%2FpYT%2BbAjxNpHpDrAF%2BcGPXfzhmc9PEWEU%2BCG5u%2BlBJ5MgT0VQtMHVTOzug7hSYt7panQdqqGFg0KZmWSpODmbYg6fUP3gm5Nlwndz49FG%2FZGoqb5DeAe1NWQ5VNA%2Fn0wJQR7JyZ3%2FnCfCbQv1TDKr71u36hzMkVXwdfor8N%2Fq2o20uTAG%2BwC81ptqM7l5MkwkWV6uSO0WAw6QrRpLs8M9tXLbVfAUIGx4m%2FHOY7wxPvgt5huhCJuSRqmu9LlDSlEQIcA0Y0IFLuFlG33rnD%2BC1lZOBjBAZ5rl1mYR5NAW83xOj269jwtf%2BWBEdwpxnXdsumGUk47wJtqhwlasjx84jakaFDJZTxR%2BuY897U3VjZdTfAHgUZG%2FbvpF1Y8WabGjaHyVAeX7ne4ukeRjVrgjOncpOGAZW6kCWVmTDciZkkqglG4weXiUjBwWX429FgV%2FP4OIO5EgXiNVrb%2B67jj3lhwHMIlyrp2%2BE8nXYXLybiXWzB7wLC%2FQ%2FMLPgoNYGOrEBEXe7wyQXAkl3GRvPd9aOBMvJ%2B56KbmNB42o89BFLogiRpvsWdIOPvwkGFL%2Fp%2B8rOYn590any%2FjRTIwtT36P%2Fmi%2FbUs6icMOD99DVHxNfT34BziRDSrxVlv0YpQ%2BHvIrSYqsZuGaV9en4EepA3gUGPAC2PlQCGV%2BXHnadCsW5A9GwnJUMjLTnkLadkJjJJDsCdwbvftZLy3LTeNBKdE9yvq6cIP2G1ldQSMhBtqphGKfu&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47URQXLK7EB%2F20261009%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20261009T002705Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=dc93f4b2f10725eaf1ec35895adac2d86db524796420fa25d6c64b4050fead92\" 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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}]}}