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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 E

Explanation / 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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