Spring on Ramp#

In the figure below m = 8 kg, \(\theta\) = 29\(^\circ\), and k = 100 N/m. In this problem assume that the ramp never moves and that there is friction between the block and the ramp.

Block being pulled up a ramp by a spring

Part 1#

If the coefficient of static friction between the block and the ramp is \(\mu_s\) = 0.6, what is the maximum amount that the spring can be stretched beyond its equilibrium length before the block begins to slide up the ramp?

Answer Section#

Please enter in a numeric value in m.

Part 2#

Suppose now that the block is sliding up the ramp at a constant velocity. By what length is the spring stretched? Assume that the coefficient of kinetic friction is \(\mu_k\) = 0.37.

Answer Section#

Please enter in a numeric value in m.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.