39% 4 A box is on a ramp tilted at an angle 9 above the horizontal The box may b
ID: 1316917 • Letter: 3
Question
39% 4 A box is on a ramp tilted at an angle 9 above the horizontal The box may be subject to the following forccs: friction gravitational (ang), pulling or pushing and nomal (No. The figures below show five free-body diagrams for the box, Any diagram can be chosen more than once. The coeficient of static friction between the block and ramp is H, and kinetic friction is a Which figure represents the free-body diagram for the box if it is at rest on the ramp? Please circle the oorrect answer: A B C D E. the magitude of the friction foroe inthis instance? Write the answer here: What is b) Which figure best represents the free-body diagram for the box if it is sliding down the Please circle the correct answer: A B C D E. constant acceleration? ramp at Draw the corresponding mass-acceleration diagram next to the appropriate free-body diagram. c) Which figure bestrepresents the free-body diagram for the box if it is accelerating up Please circle the correct answer. A B C D E, the ramp? Draw the corresponding mass-acceleration diagram next to the appropriate free-body diagram. Figure A Figure B Figure C Agune D mg sin 6 ng cos Figure EExplanation / Answer
a) figure C represents the block is staionary on the ramp or inclined plane
block is placed on ramp with an angle to
accelration due to gravity is dowenwards
there are 4 forces are involved on the block
component of force perpendicular to inclined plane
F=mgcos theta
component of force which is parllel to inclined plane
F=mg sin theta
normal force that is opposite to perpendicular force
when block starts to move there is a force that keeps box as stationary(frictional force)
coefficient of friction
mu=ratio of parllel to perpendicular force
b)
figure E represents the when the block is moving upwards
we need to resolve the components along x-axis and y-axis
along y axis no force FY=0
along x-axis
when the block is sliding it
equations will be
f+Ff
c)
for this also answer is E
but free body diagram is different
so equation will be f-Ff
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