Wrecking ball suspended from a crane: determine tension on the cable and angle
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A 600 kg wrecking ball is suspended from a crane by a cable having negligable mass. If the ball has a speed v= 8m/s at the instant it is at its lowest point, theta= 0 deg., determine the tension in the cable at this instant. Also, determine the angle theta to which the ball swings before stopping. The length of the cable is 12m.© BrainMass Inc. brainmass.com May 24, 2023, 1:36 pm ad1c9bdddf
Tension in the cable at angle theta with the vertical:
T = m*g*cos(theta) + m*v^2/l
At the lowest point: theta = 0
m = 600 kg
v = 8 m/s
l = 12 m
g = 9.8 m/s^2
=> T_lowest = m*g + ...
With calculations and narrative, the tension on the cable and angle is solved.