A wheel is rolling along a straight path without slipping. Determine velocity of points A, B and P. $OP = 600 mm, \omega = 4 rad/sec, V

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A wheel is rolling along a straight path without slipping. Determine velocity of points A, B and P.

$OP = 600 mm, \omega = 4 rad/sec, V_0=4m/s$

written 8.2 years ago by

teamques10 ★ 69k

• modified 4.9 years ago

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engineering mechanics

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written 8.2 years ago by

teamques10 ★ 69k

$V_A= ?,V_B= ?OP=600mm,V_P= ?$

$ω = 4 rad/s , V_0 = 4m/s$

Instantaneous centre of wheel is at point of contact.

enter image description here

$V_0=I_0.w \\ ∴I_0 = \dfrac {V_0} w = \dfrac 44=1m=1000mm$

ID = Radius = 1000mm

IA = D = 2000 mm

And $I_B=\sqrt{1000^2+1000^2} =1414.2 mm \\ V_A=IA.ω=2000×4=8000mm/s=8 m/s …

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