## Question:

The block of weight W is originally at rest on the smooth surface. It is acted upon by a radial force ${ F }_{ R }$ and a horizontal force ${ F }_{ H }$, always directed at θ from the tangent to the path as shown. Determine the time required to break the cord, which requires a tension T. What is the speed of the block when this occurs? Neglect the size of the block for the calculation. Given: W = 10 lb , θ = 30 deg , ${ F }_{ R }$ = 2 lb , T = 30 lb , ${ F }_{ H }$ = 7 lb , r = 4 ft , ${ v }_{ 1 }$= 0 ft/s , g = ${ 32.2ft/s }^{ 2 }$