{"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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIHxZwMh2lPf29uw0EuxQgIkLSSjxIaEcZplB6YbhogFJAiEApLHIY38d2LA%2FYlTfxnW%2FBGCMDPogDUzVBLTs9Rwuc7wquAUIRxAFGgwyNzM1NzAxOTU0MzMiDBO%2FRRtIXj8Z9zudoCqVBSSofakd9%2FiGkbrBD1OKyWyeRZr0HwYrtoOKjL3ZzGg9hOyeETnI%2Bw4C%2F5Bj%2B%2Br0mUR82fUmFLfo4EAcUMYisyIAMQJTNeC%2FIECk%2B61t2Kj1x8Pf0EryHu7FlgIYwxbVkLsAzSdv1ZXBQmy5J5OcFbzYMdqGTPhbNtjJu5pEbY4zsPLXYnqS7PVN6hk9OSR3kWVznCUcvsWe7rpxLmboBcd%2FUXhSVqgTs0cR2ibI%2BPTW6RrA%2B9dioz1q9owMOgN7K9gcrbK5dffrOhx1K6cmoYM9ZIm0lzAVzv3Dq0Bcdf5O4CcHo7ntlynj8yH85plFmvJpveCln21kwUxYMM2KrwkSrZVDW%2FlEGpoBVIBsxnLJEowwWEg4IADdSb7L1UBQumrvJ7bB4rCKpbzK57pGfks3s%2BTuQsmyrzGh63olPCJSvurUWvSv7HgnMLuIEGd9iRU38YSndTffr7r7i2xvDDZbICSjvSZ541IQ%2BvDQfe2aNBQzxI%2FPJbz2QI%2FuOGl8YJWV227V8I0JqAxcBT%2B4IpcWVxlxghXu82bgNCz1KAeiEslqq52YuKjhfFtz7TzgeIviqvmy%2FwEP5fDH9dkzuMspFLtLN3Resm5OSKpcxRTh%2B9YOTt8uuD6hhpRWem6CwcCMaKwF4P%2FQnhzRs2EPA680crAd%2Bc%2FmdhVaiELz317eCISRWe9z6z%2BUx6VJoZhHl1wNsyehyT%2B1qJYlqJG5CxhYKEAlonZ1D3ET39C0z6DpxueRxJXJMFBz2sXuTMH%2FVHqHFp2TXaImPJ4RAwTVFMmRfPBWpIXd44mwo2OVTNprXxwmmGICsZUjPlNGtnN992i2LyYm4vaJYVDMGL3oIdsjKOebeocKxgxkj5p4dxJRXjHm2l4w5fe01QY6sQFZMGuDjxcxTjNq659Xwk3xk2LvRVa37hBXP2U8hWXWtCc%2BpDuFBuBz4e5rZBvYAc4nNCvA2%2BVujpcekKBsA0VEnD0BABhZLu6NP8AdvegudDeNOWQ%2BikFbhi%2B%2FV0%2FXA6GQ3bx9hxf7xvTAv%2B5lbcxQDakfLrU%2B2nPNYAZBx7YoDUHYxZpWRPFT5lOh6ZgJyjw1apt%2FmyJql%2B%2F1HI9DoNeHKg0h5ol4CONuSy7V%2B8x09S8%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UXYZF5JSA%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260918T134523Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=8051b05c8223333309ccbd825638700b874dd2380346f2b8a7ce95332c518263\" alt=\"Capture\" width=\"300\" height=\"137\" 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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIHxZwMh2lPf29uw0EuxQgIkLSSjxIaEcZplB6YbhogFJAiEApLHIY38d2LA%2FYlTfxnW%2FBGCMDPogDUzVBLTs9Rwuc7wquAUIRxAFGgwyNzM1NzAxOTU0MzMiDBO%2FRRtIXj8Z9zudoCqVBSSofakd9%2FiGkbrBD1OKyWyeRZr0HwYrtoOKjL3ZzGg9hOyeETnI%2Bw4C%2F5Bj%2B%2Br0mUR82fUmFLfo4EAcUMYisyIAMQJTNeC%2FIECk%2B61t2Kj1x8Pf0EryHu7FlgIYwxbVkLsAzSdv1ZXBQmy5J5OcFbzYMdqGTPhbNtjJu5pEbY4zsPLXYnqS7PVN6hk9OSR3kWVznCUcvsWe7rpxLmboBcd%2FUXhSVqgTs0cR2ibI%2BPTW6RrA%2B9dioz1q9owMOgN7K9gcrbK5dffrOhx1K6cmoYM9ZIm0lzAVzv3Dq0Bcdf5O4CcHo7ntlynj8yH85plFmvJpveCln21kwUxYMM2KrwkSrZVDW%2FlEGpoBVIBsxnLJEowwWEg4IADdSb7L1UBQumrvJ7bB4rCKpbzK57pGfks3s%2BTuQsmyrzGh63olPCJSvurUWvSv7HgnMLuIEGd9iRU38YSndTffr7r7i2xvDDZbICSjvSZ541IQ%2BvDQfe2aNBQzxI%2FPJbz2QI%2FuOGl8YJWV227V8I0JqAxcBT%2B4IpcWVxlxghXu82bgNCz1KAeiEslqq52YuKjhfFtz7TzgeIviqvmy%2FwEP5fDH9dkzuMspFLtLN3Resm5OSKpcxRTh%2B9YOTt8uuD6hhpRWem6CwcCMaKwF4P%2FQnhzRs2EPA680crAd%2Bc%2FmdhVaiELz317eCISRWe9z6z%2BUx6VJoZhHl1wNsyehyT%2B1qJYlqJG5CxhYKEAlonZ1D3ET39C0z6DpxueRxJXJMFBz2sXuTMH%2FVHqHFp2TXaImPJ4RAwTVFMmRfPBWpIXd44mwo2OVTNprXxwmmGICsZUjPlNGtnN992i2LyYm4vaJYVDMGL3oIdsjKOebeocKxgxkj5p4dxJRXjHm2l4w5fe01QY6sQFZMGuDjxcxTjNq659Xwk3xk2LvRVa37hBXP2U8hWXWtCc%2BpDuFBuBz4e5rZBvYAc4nNCvA2%2BVujpcekKBsA0VEnD0BABhZLu6NP8AdvegudDeNOWQ%2BikFbhi%2B%2FV0%2FXA6GQ3bx9hxf7xvTAv%2B5lbcxQDakfLrU%2B2nPNYAZBx7YoDUHYxZpWRPFT5lOh6ZgJyjw1apt%2FmyJql%2B%2F1HI9DoNeHKg0h5ol4CONuSy7V%2B8x09S8%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UXYZF5JSA%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260918T134523Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=8051b05c8223333309ccbd825638700b874dd2380346f2b8a7ce95332c518263 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=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIHxZwMh2lPf29uw0EuxQgIkLSSjxIaEcZplB6YbhogFJAiEApLHIY38d2LA%2FYlTfxnW%2FBGCMDPogDUzVBLTs9Rwuc7wquAUIRxAFGgwyNzM1NzAxOTU0MzMiDBO%2FRRtIXj8Z9zudoCqVBSSofakd9%2FiGkbrBD1OKyWyeRZr0HwYrtoOKjL3ZzGg9hOyeETnI%2Bw4C%2F5Bj%2B%2Br0mUR82fUmFLfo4EAcUMYisyIAMQJTNeC%2FIECk%2B61t2Kj1x8Pf0EryHu7FlgIYwxbVkLsAzSdv1ZXBQmy5J5OcFbzYMdqGTPhbNtjJu5pEbY4zsPLXYnqS7PVN6hk9OSR3kWVznCUcvsWe7rpxLmboBcd%2FUXhSVqgTs0cR2ibI%2BPTW6RrA%2B9dioz1q9owMOgN7K9gcrbK5dffrOhx1K6cmoYM9ZIm0lzAVzv3Dq0Bcdf5O4CcHo7ntlynj8yH85plFmvJpveCln21kwUxYMM2KrwkSrZVDW%2FlEGpoBVIBsxnLJEowwWEg4IADdSb7L1UBQumrvJ7bB4rCKpbzK57pGfks3s%2BTuQsmyrzGh63olPCJSvurUWvSv7HgnMLuIEGd9iRU38YSndTffr7r7i2xvDDZbICSjvSZ541IQ%2BvDQfe2aNBQzxI%2FPJbz2QI%2FuOGl8YJWV227V8I0JqAxcBT%2B4IpcWVxlxghXu82bgNCz1KAeiEslqq52YuKjhfFtz7TzgeIviqvmy%2FwEP5fDH9dkzuMspFLtLN3Resm5OSKpcxRTh%2B9YOTt8uuD6hhpRWem6CwcCMaKwF4P%2FQnhzRs2EPA680crAd%2Bc%2FmdhVaiELz317eCISRWe9z6z%2BUx6VJoZhHl1wNsyehyT%2B1qJYlqJG5CxhYKEAlonZ1D3ET39C0z6DpxueRxJXJMFBz2sXuTMH%2FVHqHFp2TXaImPJ4RAwTVFMmRfPBWpIXd44mwo2OVTNprXxwmmGICsZUjPlNGtnN992i2LyYm4vaJYVDMGL3oIdsjKOebeocKxgxkj5p4dxJRXjHm2l4w5fe01QY6sQFZMGuDjxcxTjNq659Xwk3xk2LvRVa37hBXP2U8hWXWtCc%2BpDuFBuBz4e5rZBvYAc4nNCvA2%2BVujpcekKBsA0VEnD0BABhZLu6NP8AdvegudDeNOWQ%2BikFbhi%2B%2FV0%2FXA6GQ3bx9hxf7xvTAv%2B5lbcxQDakfLrU%2B2nPNYAZBx7YoDUHYxZpWRPFT5lOh6ZgJyjw1apt%2FmyJql%2B%2F1HI9DoNeHKg0h5ol4CONuSy7V%2B8x09S8%3D&#038;X-Amz-Algorithm=AWS4-HMAC-SHA256&#038;X-Amz-Credential=ASIAT7MQN47UXYZF5JSA%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&#038;X-Amz-Date=20260918T134523Z&#038;X-Amz-SignedHeaders=host&#038;X-Amz-Expires=900&#038;X-Amz-Signature=0a0eda5cbfce2494b13e093c769e5f13e8d06bd148d6d35614b5a02396ac2db6\" alt=\"Capture\" width=\"300\" height=\"114\" srcset=\"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&amp;X-Amz-Security-Token=IQoJb3JpZ2luX2VjEH4aCWV1LXdlc3QtMSJHMEUCIHxZwMh2lPf29uw0EuxQgIkLSSjxIaEcZplB6YbhogFJAiEApLHIY38d2LA%2FYlTfxnW%2FBGCMDPogDUzVBLTs9Rwuc7wquAUIRxAFGgwyNzM1NzAxOTU0MzMiDBO%2FRRtIXj8Z9zudoCqVBSSofakd9%2FiGkbrBD1OKyWyeRZr0HwYrtoOKjL3ZzGg9hOyeETnI%2Bw4C%2F5Bj%2B%2Br0mUR82fUmFLfo4EAcUMYisyIAMQJTNeC%2FIECk%2B61t2Kj1x8Pf0EryHu7FlgIYwxbVkLsAzSdv1ZXBQmy5J5OcFbzYMdqGTPhbNtjJu5pEbY4zsPLXYnqS7PVN6hk9OSR3kWVznCUcvsWe7rpxLmboBcd%2FUXhSVqgTs0cR2ibI%2BPTW6RrA%2B9dioz1q9owMOgN7K9gcrbK5dffrOhx1K6cmoYM9ZIm0lzAVzv3Dq0Bcdf5O4CcHo7ntlynj8yH85plFmvJpveCln21kwUxYMM2KrwkSrZVDW%2FlEGpoBVIBsxnLJEowwWEg4IADdSb7L1UBQumrvJ7bB4rCKpbzK57pGfks3s%2BTuQsmyrzGh63olPCJSvurUWvSv7HgnMLuIEGd9iRU38YSndTffr7r7i2xvDDZbICSjvSZ541IQ%2BvDQfe2aNBQzxI%2FPJbz2QI%2FuOGl8YJWV227V8I0JqAxcBT%2B4IpcWVxlxghXu82bgNCz1KAeiEslqq52YuKjhfFtz7TzgeIviqvmy%2FwEP5fDH9dkzuMspFLtLN3Resm5OSKpcxRTh%2B9YOTt8uuD6hhpRWem6CwcCMaKwF4P%2FQnhzRs2EPA680crAd%2Bc%2FmdhVaiELz317eCISRWe9z6z%2BUx6VJoZhHl1wNsyehyT%2B1qJYlqJG5CxhYKEAlonZ1D3ET39C0z6DpxueRxJXJMFBz2sXuTMH%2FVHqHFp2TXaImPJ4RAwTVFMmRfPBWpIXd44mwo2OVTNprXxwmmGICsZUjPlNGtnN992i2LyYm4vaJYVDMGL3oIdsjKOebeocKxgxkj5p4dxJRXjHm2l4w5fe01QY6sQFZMGuDjxcxTjNq659Xwk3xk2LvRVa37hBXP2U8hWXWtCc%2BpDuFBuBz4e5rZBvYAc4nNCvA2%2BVujpcekKBsA0VEnD0BABhZLu6NP8AdvegudDeNOWQ%2BikFbhi%2B%2FV0%2FXA6GQ3bx9hxf7xvTAv%2B5lbcxQDakfLrU%2B2nPNYAZBx7YoDUHYxZpWRPFT5lOh6ZgJyjw1apt%2FmyJql%2B%2F1HI9DoNeHKg0h5ol4CONuSy7V%2B8x09S8%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Credential=ASIAT7MQN47UXYZF5JSA%2F20260918%2Feu-west-1%2Fs3%2Faws4_request&amp;X-Amz-Date=20260918T134523Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=900&amp;X-Amz-Signature=0a0eda5cbfce2494b13e093c769e5f13e8d06bd148d6d35614b5a02396ac2db6 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}]}}