Problem # x

Work- Energy Method

At the position shown, the block B is at rest but starts to slide down the incline under the influence of gravity and against friction. Subsequently, the block will hit the unstretched spring and compresses it until the block comes to a momentary standstill.

Use the work-energy method to determine the equation for this maximum compression of the spring.

    Consider as given :
m = mass of block
g = gravitational acceleration
s = initial distance between block and upper end of unstretched spring
μk = coefficient of kinematic friction
β = angle between inclined surface and the horizontal
k = spring constant