understanding the radial tangential coordinate system
TRANSCRIPT
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Understanding the
Radial Tangential
coordinate system
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Radial Axis
Is the line running from the suspension point along the string towards the
mass
Ө angle, radial axis makes with equilibrium
Two force components line on axis
Weight component : mgcosӨ
Tension component: T
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Test Your Understanding
Which Arrow represent the radial
axis?
A
B
C
D
C
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Test Your Understanding
What is the acceleration of the
mass along the radial axis?
A – in the opposite direction of T
(Tension force)
B – towards the suspension point
along the direction of T (Tension
force)
C – zero
C – remember the T (tension force)
and the weight component (mgcosӨ ) are equal and opposite!
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Tangential Axis
Is perpendicular to the radial axis
Only one force component along this axis
Weight component: mgsinӨ
The Force is always in the direction of the equilibrium position
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Test Your Understanding
Which direction is the force
of weight component along
the tangential axis?
A – towards the equilibrium
B – the direction is always towards
the left
C – the direction is always towards
the right
A
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Bringing it together
What is the acceleration of
the mass at its equilibrium
position?
Zero! There is no motion along the
radial axis since force T (tension)
and the weight component on radial axis (mgcosӨ) cancels out.
Also since Ө=0 the force
component on the tangential axis
is zero (mgsin(0)=0). Since the net
force on the mass is zero there is
no acceleration at the equilibrium
position.