Question

The truck loading ramp must be sloping and rough. The tilt cannot be very pronounced so...

The truck loading ramp must be sloping and rough. The tilt cannot
be very pronounced so that the effort when loading materials and boxes is reduced, and so that
accelerate too much when lowering them. It has to be rough so that the worker's shoes have
traction on the ramp surface. Imagine that the inclination is 20 ° and that the
Static and kinetic coefficients of friction are 0.40 and 0.30, respectively. A worker wants
move a 45 kg box downhill, but without accelerating when going down, and for this it makes a force of
25 N parallel to the ramp to stop the box. Determine:
a- draw the configuration diagram
b- draw the free body diagram
c- box weight vector
d- vector of the normal force that ramps- If the friction were static, will it be able to stop the box or will it start to accelerate downhill?
f- If the friction were kinetic, what would be the acceleration of the box?
Which of the two cases will apply?

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