A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a force f= kmv2, show that the time required to move a distance d after starting from rest is cosh-¹(ed) Vkg sin 0 where is the angle of inclination of the plane.

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Newtonian Mechanics
A particle of mass m slides down an inclined plane under the influence of gravity. If
the motion is resisted by a force f= kmv², show that the time required to move a
distance d after starting from rest is
cosh-¹(ekd)
Vkg sin 0
where is the angle of inclination of the plane.
Transcribed Image Text:A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a force f= kmv², show that the time required to move a distance d after starting from rest is cosh-¹(ekd) Vkg sin 0 where is the angle of inclination of the plane.
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