A 3970 kg demolition ball swings at the end of a 34.4 m cable on the arc of a vertical circle. At the lowest point of the swing, the ball is moving at a speed of 2.08 m/s. Determine the tension in the cable.
Given that the mass of ball is m = 3970 kg
length of the cable is L = 34.4 m
Speed of the ball is v = 2.08 n/s
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At bottom of the swing, weight mg acts downwards
centripetal force mv2/L acting downwards.
tension acting upwards.
Then from Newton's second law
T = mg + mv2/ L
= 3970kg*9.8 m/s2 + 3970kg*(2.08 m/s)2 / 34.4 m
= 39146 N
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