AB4 Derive an expression for the magnitude of the acceleration of a particle moving with speed e in a circle of radius r.
AB4 Derive an expression for the magnitude of the acceleration of a particle moving with speed e in a circle of radius r.
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Transcribed Image Text:A particle of mass moves in a circle in a
vertical plane, being attached to a fixed point A
by a string of length r. The motion of the mass
is such that the string is just fully extended at
the highest point: Determine:
(a) the minimum speed v at the highest point
for this to happen,
(b) the speed Vof the particle, and the tension
in the string when the particle is at. its
lowest point.
What is the component of the acceleration of
the particie aleng the tangent to the circie at
the instant when the string makes an angle 0
with the vertical?
If the particle was initially suspended at rest
vertically below A, and was set in motion as
described above by an impact with a particle of
mass 2m, determine the velocity u of this.
particle on the assumption that no energy is
lost in the collision.
[S)
Transcribed Image Text:A84 Derive an expression for the magnitude of the
acceleration of a particle moving with speed e
in a circle of radius r.
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