P3.15-2) Block A, having a mass of m = 15 kg, rests on a spring of spring constant k = 200 N/m. A groove of radius 10 cm is cut into block A allowing ball B (of negligible mass) to move in a circle with a frequency that is equal to the natural frequency of the block A/spring system which is (P3.15-2) co" = '1 k Im rad/s. This causes block A to move as yA(t)=A1sin(cont) + A2cos(ffint), where YA is in meters, tis in seconds and constants A 1 and A2 are determined by block A's initial conditions. If vB1A = rffin and the initial conditions are yA(O) = 0.03 m and y A(O) = 0, what is the velocity of ball B when 0 = 20° (i.e. the angle between the ball and the x-axis) and t = 20 s?
This question was answered on: May 23, 2022
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