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#1 2008-04-02 06:08:53

cocotown22
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Registered: 2008-04-02
Posts: 2

Banked Curves

A 9.5 kg monkey is hanging by one arm from a branch and is swinging on a vertical circle. As an approximation, assume a radial distance of 85 cm between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 2.6 m/s.


(a) Find the magnitude of the centripetal force acting on the monkey.

for A, i basically used  tangent of theta equal v^2/rg to answer the answer for a.

but the F(n) is equal sin of theta is equal to mass(v^2)/r, what is the angle of sin, i do not understand....... for B, which is

(b) Find the magnitude of the tension in the monkey's arm.

Last edited by cocotown22 (2008-04-02 06:09:33)

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#2 2008-04-02 06:09:56

cocotown22
New Member
Registered: 2008-04-02
Posts: 2

Re: Banked Curves

thanks

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#3 Yesterday 20:56:17

zozoconde
New Member
Registered: 2008-02-23
Posts: 5

Re: Banked Curves

centripetal force at any point in the circle
it is F=(mv^2)  /r


Tension at the lowest point is
Centripetal force  =  Tension - weight ( mg )

centripetal force is not a real force . It is  a resultant of tension and weight  . We take the center as a reference so that all forces pointing towards this point is +ve  . At this moment ( lowest point ) the weight  mg is pointing away from the center so it is subtracted where as the tensionT  is towars the center

So we can also say
Tension = CF + weight and tension is maximum at this point

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