MIE100H1 Midterm: MIE100_2010_exam_1335311485

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MIE100H1 Full Course Notes
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Exam type c (one 8 x 11 aid sheet: postma, sinclair, sinclair, sullivan, you. A rectangular crate of mass 100 kg rests on a conveyor belt as shown. The crate"s height and width are 1. 40 metres and 0. 80 metres respectively. Assume the crate is uniform such that its centre of mass is located in the middle at g as shown. Determine (cid:1)(cid:2)(cid:7) and (cid:2) for the crate at the instant t = 0. The moment of inertia of the crate about g is: (cid:8)(cid:7) (cid:9) width. Note that for the crate at this instant, (cid:17) (cid:9) (cid:18), (cid:19) (cid:20) (cid:18), and point q does not slip relative to the belt. (10 marks) (cid:12)(cid:13)(cid:1)(cid:11) (cid:14) (cid:15)(cid:11)(cid:16), where a and b are the height and (cid:10) (cid:10)(cid:11) A wheel has mass m = 8. 0 kg, radius r = 1. 2 metres, and radius of gyration k = 0. 70 metres.

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