The following are two separate problems involving uniform circular motion with f
ID: 1737058 • Letter: T
Question
The following are two separate problems involving uniform circular motion with friction. The coefficient of friction between a certain brass block and a large revolving turntable is ? = 0.15. How far from the axis of rotation can the block be placed before it slides off the turntable if the turntable rotates at a constant rate of 33 1 / 3 rev / min ( so that it requires time T = 60 / 33.33 seconds to complete one revolution ) ? Rmax = m A certain car has a minimum turning radius of 8.2 m. If the coefficient of static friction between the tires and road is ?= 0.15, what is the maximum speed the car can have without skidding on an unbanked road if the steering wheel is turned fully to the right? Vmax = m / sExplanation / Answer
(a) Given that the coefficent of friction between the block and thetable is = 0.15 Initial anglular velocity is = 33(1/3) rev /min =33(1/3)*2 /60 rad/s ------------------------------------------------------------------------------------------- The frictional force balances the outward force mg = mr2 g = r2 r= g /2 =--------- m (b) Given that the radius r = 8.2 m coefficent offriction between the block and the table is =0.15 The frictional force balances the outward centrifugal force mg = mv2 /r g = v2 /r v= gr = ----------- m/s =--------- m (b) Given that the radius r = 8.2 m coefficent offriction between the block and the table is =0.15 The frictional force balances the outward centrifugal force mg = mv2 /r g = v2 /r v= gr = ----------- m/s mg = mv2 /r g = v2 /r v= gr = ----------- m/sRelated Questions
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