Question

3

A block of mass M = 10kg is being pulled up a ramp inclined at 30 degrees by a person
with a rope (the direction of that force is along the ramps surface). The kinetic coefficient
of friction is 0.1. The static coefficient of friction is 0.2. For all questions below show free
body diagrams and all your work.
⁃
How much force does the person need to apply to pull the block up a vertical
distance of 15 meters in 30 seconds. Is that a reasonable amount of force for a
person to be able to apply?
⁃
The person stops the moving block and keeps it from sliding down the ramp with
the rope. How much tension is in the rope (this is the force applied to the rope).
⁃
If the rope breaks, will the block slide down the ramp? What is the acceleration?
⁃
What is the steepest the ramp may be such that the block does not slide down the
ramp.