Question
Asked Jul 1, 2019
The spoked wheel of radius r 625 mm is made to roll up the incline by the cord wrapped securely around a shallow
groove on its outer rim. If the cord speed at point P is v 1.6 m/s, determine the velocities of points A and B. No slipping
OCcurs
D
C e
Answers:
ii
j) m/s
VA = (i
ii
j) m/s
VB (i
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The spoked wheel of radius r 625 mm is made to roll up the incline by the cord wrapped securely around a shallow groove on its outer rim. If the cord speed at point P is v 1.6 m/s, determine the velocities of points A and B. No slipping OCcurs D C e Answers: ii j) m/s VA = (i ii j) m/s VB (i

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Expert Answer

Step 1

Draw the schematic diagram of the system.

 

D
A
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D A

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Step 2

Write the relation for the angular velocity of the spoked wheel.

 

v(2r) e
1V
Write the relation for angular velocity of the spoked wheel
k rad/s
|k rad/s
2r
-k rad/s
2r
Since the spoked wheel rolls without slipping, the absolute velocity of point C is equal to zero.
C0
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v(2r) e 1V Write the relation for angular velocity of the spoked wheel k rad/s |k rad/s 2r -k rad/s 2r Since the spoked wheel rolls without slipping, the absolute velocity of point C is equal to zero. C0

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Step 3

Calculate the position vector of point A with resp...

4C OAiOCj
c-()i+(r)
=-ri
Write the expression for the velocity of point A with respect to point C
A/C
-k rad/s x(-ri+rj)
2r
A/C
(kx
(kxi)
2
2
)
1V
(i+
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4C OAiOCj c-()i+(r) =-ri Write the expression for the velocity of point A with respect to point C A/C -k rad/s x(-ri+rj) 2r A/C (kx (kxi) 2 2 ) 1V (i+

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