A block of mass M = 2.00 kg is on a frictionless incline that
makes an angle of θ = 30.0° with respect to the horizontal. A rope
is connected to the block so that it can be pulled up parallel to
the incline (see the figure below).
a. Draw the free-body diagram of the block on the incline and
list the forces when a tension is applied to keep the block at
rest.
b. Determine the magnitude of the normal force.
c. Determine the magnitude of the tension assuming the block is
moving at constant velocity.
d. Determine the acceleration of the block when twice the
tension (determined in question c) is applied to the block.
e. Now imagine that the surface is not frictionless. If a
tension of 20.0 N is applied to the rope, what would be the minimum
value of the coefficient of static friction to keep the block at
rest?