D = 8cm H=8cm - Gauthmath
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The mass of the hanging mass is 0.197 kg.
Explanation: Step 1: The rotating object is in uniform circular motion. The centripetal force is provided by the tension in the cord. Step 2: The tension in the cord is equal to the weight of the hanging mass. Step 3: The centripetal force is given by: F = mv^2/r, where m is the mass of the rotating object, v is its speed, and r is the radius of the circular path. Step 4: The speed of the rotating object is given by: v = 2πr/T, where T is the period of the motion. Step 5: The period of the motion is the time it takes to complete one revolution. In this case, the period is 3.5 s/10 revs = 0.35 s/rev. Step 6: Substitute the values into the equation for centripetal force: F = (0.02 kg)(2π(0.6 m)/(0.35 s))^2/(0.6 m) = 1.93 N. Step 7: The weight of the hanging mass is equal to the tension in the cord, which is 1.93 N. Step 8: The mass of the hanging mass is given by: m = F/g = 1.93 N/9.8 m/s^2 = 0.197 kg.
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