6) A small cylinder rests on a circular turntable that is rotating clockwise at

Question

6) A small cylinder rests on a circular turntable that is rotating clockwise at a constant speed. The cylinder is at a distance of r = 0.40 cm from the center of the turntable. The coefficient of static friction between the bottom of the cylinder and the surface of the turntable is 0.50. What is the maximum speed vmax that the cylinder can have without slipping off the turntable?

a. 1.96 m/s
b. 2.5 m/s
c. 0.25 m/s
d. 0.73 m/s
e. 1.4 m/s

4) Two identical stones are being whirled in air at the same speed but in different circles. The radius of the larger circle (circle 2) is twice that of the smaller circle (circle 1). How is the tension T2 in the longer cord (circle 2) related to the tension T1 in the shorter cord (circle 1)?

a. T1 = T2
b. T1 = 2T2
c. T1 = 4T2
d. T1 = 1/4T2
e. T1 = 1/2T2

Explanation / Answer

a) mV^2/r = mg =>V = rg = 1.4 m/s --option e

b)same speed ,same mass

mV^2/r so proportional to 1/r

so T2 = T1/2 =>T1=2T2 option b

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