Paul ( mass mp=80kg ) accidently falls off the edge of a glacier .Fortunately, P
ID: 1340495 • Letter: P
Question
Paul ( mass mp=80kg ) accidently falls off the edge of a glacier .Fortunately, Paul is tied by a long, mass-less rope to steve ( mass ms= 80kg ), who has a climbing ax. Before Steve sets his ax to stop them, he accelerates down the ice with paul attached to the rope. Assume that the angle is 30 degrees, the kinetic coefficient of friction between steve's clothes and the ice is 0.10, and the friction between the rope and ice is negligible.
a. Use newton's 2nd law to write the equations of motion for each person. To recieve credit, you must draw a free body diagram for each person. Be sure to include a coordinate system and clearly label all forces for each diagram.
n. Determine the acceleration of each person.
Please show your work clearly and write step by step solution including numeric substitutions and etc. To make it easier, please do this in paper and include the pictures. thanks
Explanation / Answer
System of Steve
Taking components perpendicular to the plane
N = Mg Cos30 = 80x9.8 x 0.87 = 679
Taking component || to the plane
T= MgSin30 + f and f = 0.1 N
= 80x9.8x0.5 + 679x0.1 = 460
Now Consider the system of Paul
T = 460 N
Mg = 80x9.8 = 784 N
As the downward force is greater then the upward force Paul continues to slip down until Steve get his axe