Sample Problem 2: A particle of mass m is projected from Point A with an initial velocity vo perpendicular to line OA and moves under a central force F along a semicircular path of diameter OA. Gall

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Sample Problem 2: A particle of mass m is projected from Point A
with an initial velocity vo perpendicular to line OA and moves
under a central force F along a semicircular path of diameter OA.
Determine the following:
(a) Observing that r = ro cos 0 and using the equation for
angular momentum per unit mass, show that the speed of
the particle is v=vo/cos² 0.
(b) Determine the tangential component F, of the central
force F along the tangent to the path of the particle
for (i) 0 0, (ii) = 45.
Soltuion:
8
Transcribed Image Text:Sample Problem 2: A particle of mass m is projected from Point A with an initial velocity vo perpendicular to line OA and moves under a central force F along a semicircular path of diameter OA. Determine the following: (a) Observing that r = ro cos 0 and using the equation for angular momentum per unit mass, show that the speed of the particle is v=vo/cos² 0. (b) Determine the tangential component F, of the central force F along the tangent to the path of the particle for (i) 0 0, (ii) = 45. Soltuion: 8
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