Question

A 3970 kg demolition ball swings at the end of a 34.4 m cable on the...

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.

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Answer #1

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

Please rate if it is correct

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