Question

ASAP

Problem 1: The 30-lb block A is placed on the top of a spring (only one spring) and then pushed down with distance d.6 inch to the position shown. The coefficient of the spring k-200 lb/in. If it is then released, determine the maximum height h as indicated belwo to which it will rise and the speed of the block when it reach the half of h during the process of its moving up.

Answer 1

height descended dex= gin. from Law of conservation of energy Total energy restored by Spring = Potential energy I gained by block = {kx2 = mgh

ache here, wang = 3016 { (200) (0)2 = (30) h * h = 120 in * Now , Distance trowelled = 4 = 60 in acceleration 2-9- UPO, V=? wok'T, v²_u²= zas v=d21-32-2) (60)/12 = 17944 ft/sec @ ņ distance
Note that h/2 includes the distance upto which spring and block combinedly move up, because they start to travel from zero combined velocity.

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