A roller is setup in a manner that the roller is rolling on a part that is on a conveyor. The parts Q$1.$ A roller is setup in a manner that the roller is rolling on a part that is on a conveyor. The parts

move on a conveyor with some velocity $\text{'}v\text{'}$ and as the roller moves on top of them, it causes the

torsion bar to twist. In the position the roller is shown in Figure at that instant, there exists $12$

degrees of twist. The torsion bar acts a spring generating loads that is pushed down from the roller

on the parts moving on the conveyor. Find the factor of safety against fatigue for infinite life. Also

check for first$-$cycle yielding. $(30$ marks$).$

d Surface,

$6$ reliability

move on a conveyor with some velocity $\text{'}$ v $\text{'}$and as the roller moves on top of them, it causes the

torsion bar to twist. In the position the roller is shown in Figure at that instant, there exists $12$

degrees of twist. The torsion bar acts a spring generating loads that is pushed down from the roller

on the parts moving on the conveyor. Find the factor of safety against fatigue for infinite life. Also

check for first$-$cycle yielding.