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Question

# A wheel is rolling on a horizontal plane. At a certain instant, it has a velocity 'v' and acceleration 'a' of CM as shown in figure. Acceleration of:

A
A is vertically upwards
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B
B may be vertically downwards
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C
C cannot be horizontal
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D
some point on the rim may be horizontal leftwards
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Solution

## The correct options are A C cannot be horizontal B A is vertically upwards D B may be vertically downwards→aA/COM=−αR^i+v2R^j→aCOM=αR^i→aA=→aA/COM+→aCOM=v2R^j→aB/COM=−v2R^i−αR^j→aB=→aB/COM+→aCOM=(−v2R+αR)^i−αR^jwhichisverticallydownwardsif−v2R+αR=0→aC/COM=αR^i−v2R^j→aC=→aC/COM+→aCOM=2αR^i−v2R^janditcan′tbehorizontal

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