1.
A) Two blocks are positioned on surfaces, each inclined at the
same angle of 40.8 degrees with respect to the horizontal. The
blocks are connected by a rope which rests on a frictionless pulley
at the top of the inclines as shown, so the blocks can slide
together. The mass of the black block is 6.83 kg, and the
coefficient of kinetic friction for both blocks and inclines is
0.300. Assume static friction has been overcome and that everything
can slide. What is must be the mass of the white block if both
blocks are to slide to the RIGHT at an acceleration of 1.5
m/s^2?
B) Two blocks are positioned on surfaces, each inclined at
the same angle of 42.9 degrees with respect to the horizontal. The
blocks are connected by a rope which rests on a frictionless pulley
at the top of the inclines as shown, so the blocks can slide
together. The mass of the black block is 6.38 kg, and the
coefficient of kinetic friction for both blocks and inclines is
0.210. Assume static friction has been overcome and that everything
can slide. What is must be the mass of the white block if both
blocks are to slide to the LEFT at an acceleration of 1.5
m/s^2?
C) Two blocks are positioned on surfaces, each inclined at
the same angle of 41.1 degrees with respect to the horizontal. The
blocks are connected by a rope which rests on a frictionless pulley
at the top of the inclines as shown, so the blocks can slide
together. The mass of the black block is 2.74 kg, and this time
there is NO friction. What is must be the mass of the white block
if both blocks are to slide to the LEFT at an acceleration of 1.5
m/s^2?