img003 - EGN3321 Dynamics Name: Midterm 2 ID: 7/7/1010...

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Unformatted text preview: EGN3321 Dynamics Name: Midterm 2 ID: 7/7/1010 Section: 1. The 10-lb block A travels to the right atv A = 2 ft/s at the instant shown. If the coefficient of kinetic friction between the surface and A is 0.2, determine the velocity of A when it has moved 4 ft. Block B has a weight of 20 Ib Block A: <tSir,= !ii. . Weigh! B: + ^ P ,-**,, M-2r-^) Solving EqMlM3): a A =- 17. 173 fl/s 2 *? = + 2(17.173X4 / 0) u = 11.9 ft/s T T T EGN3321 Dynamics Name: Midterm 2 ID: 7/7/2010 Section: 2. A toboggan and rider of total mass 90 kg travel down along the (smooth) slope defined by the equation y = 0.08x 2 . At the instant x = 10 m, the toboggan's speed is 5 m/s. At this point, determine the rate of increase in speed and the normal force which the slope exerts on the toboggan. Neglect the size of the toboggan and rider for the calculation.-0.16(10) \fl = 57.99 (. conn-try: Here, = 0.16* dx pven i-v and the radius of curvature at * = 10 m is [l I (ty/dtfY 1 [ l ' (G-16*J:?;- p = inns ot (Motion: Applying Eq, 13-8with iJ = 57.99 ane^p = 41.98 m, we have 2F t = M^; 90(9.81) sin 57.99 > a,- 8,32 tn/s 2 A us. 2F, = ma.:-90(9.81) cos 57, W +N- N- 522N AIIV tan 0 EGN3321 Dynamics Name; Midterm 2 ID: Section: 5. In the state shown, block A, of mass 0.85 kg, is at rest on a horizontal surface. The coefficients of friction between the block and_suctace is p.^ = .0.31. In this state, the spring, with constant k = 21 N/m, is extend^dJXjS n). The block begins to move toward the right. Determine the speed of block A when the'spring is unstretched....
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img003 - EGN3321 Dynamics Name: Midterm 2 ID: 7/7/1010...

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