## Question:

The block of weight W rests on a surface for which the kinetic coefficient of friction is ${ μ }_{ k }$. It is acted upon by a radial force ${ F }_{ R }$ and a horizontal force ${ F }_{ H }$, always directed at angle θ from the tangent to the path as shown. If the block is initially moving in a circular path with a speed ${ v }_{ 1 }$ at the instant the forces are applied, determine the time required before the tension in cord AB becomes T. Neglect the size of the block for the calculation. Given: W = 10 lb , ${ μ }_{ k }$ = 0.5 , ${ F }_{ R }$ = 2 lb , T = 20 lb , ${ F }_{ H }$ = 7 lb , r = 4 ft , ${ v }_{ 1 }$ = 2 ft/s , g = ${ 32.2ft/s }^{ 2 }$ , θ = 30 deg